chunk_uid stringlengths 40 40 | chunk_type stringclasses 2
values | chunk_index int64 0 6.71k | total_chunks int64 1 6.71k | section_title stringlengths 1 157 | embed_text stringlengths 1 83.3k | spans dict | paper_doi stringlengths 0 63 | paper_id_arxiv stringlengths 9 16 | title stringlengths 7 245 | authors listlengths 1 768 | categories listlengths 1 7 | year int64 2k 2.02k | language stringclasses 2
values | discipline stringclasses 8
values | sparse_indices listlengths 1 1.02k | sparse_values listlengths 1 1.02k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ce6c308106637000318694c024c3c0cab63413cf | subsection | 17 | 58 | Security | Thus, the initial rewind does not trigger
any other one and the simulation still takes polynomial time in a
concurrent
setting.Adaptive-ID Security. The scheme can obviously be
made IND-ID-CPA if Waters' “hash function” F(\mathsf {ID})=
u^{\prime }\prod _{j=1}^n u_i^{i_j} – where \mathsf {ID}=i_1\ldots i_n \in \lbrace ... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
12613,
61475,
456,
50777,
14602,
959,
185553,
3789,
40226,
1363,
7464,
51776,
35874,
1687,
15403,
1733,
133244,
53550,
22409,
2631,
4935,
9,
7146,
48748,
150370,
831,
171259,
186,
7228,
51383,
17854,
284,
2174,
27646,
7,
25,
126234,
32354,
... | [
0.0146026611328125,
0.1280517578125,
0.134521484375,
0.252197265625,
0.0823974609375,
0.1290283203125,
0.185302734375,
0.039886474609375,
0.281982421875,
0.05633544921875,
0.095703125,
0.0728759765625,
0.1312255859375,
0.12353515625,
0.04400634765625,
0.120849609375,
0.19775390625,
... | |
32a5440ff4281063e0315a0192eabff11fb506d7 | subsection | 18 | 58 | Weak Black-Box Traceability | Theorem REF showed the infeasibility for
users to compute another key from a different family given their
private key. In these regards, a decryption key implements a
“1-copyrighted function” – in the terminology of
, – for the matching identity. Using this property
and the perfect white-box FindKey-CPA security, we de... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 248,
"openalex_id": "",
"raw": "D. Naccache, A. Shamir, J.-P. Stern. How to Copyright a Function. In PKC'99, LNCS 1560, pp. 188–196, 1999.",
"source_ref_id": "70784a2f578ad524715ad604fd27a8e32d49930e",
"start": 120
... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
581,
58391,
9069,
919,
168360,
70,
23,
2242,
1544,
83259,
72095,
47,
9969,
6743,
15700,
22799,
1295,
10,
12921,
14449,
34475,
14375,
360,
28601,
7,
4,
8,
136791,
1830,
29479,
52,
20268,
137366,
54969,
297,
32354,
63,
46,
18614,
25443,
1... | [
0.0682373046875,
0.193359375,
0.12158203125,
0.196044921875,
0.050048828125,
0.02618408203125,
0.026947021484375,
0.082275390625,
0.0936279296875,
0.1021728515625,
0.1422119140625,
0.0261688232421875,
0.12353515625,
0.1016845703125,
0.0631103515625,
0.1793212890625,
0.11376953125,
... | |
748cb840582b0cc1c6083e3b03de4afdc52cb300 | subsection | 19 | 58 | Weak Black-Box Traceability | The Chernoff bound tells us that, for any real number \omega such
that 0\le \omega \le 1, \mathrm {Pr}[ ctr < (1 -\omega ) \mu ]<
\exp (-\mu \omega ^2/2). Under the mDBDH assumption, we certainly
have \mathbf {Adv}^{\textrm {mDBDH}}(\lambda ) \le \varepsilon /2
(since \varepsilon /2 is presumably non-negligible). Lemma... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
581,
70535,
19,
16713,
99091,
14192,
7,
1821,
450,
100,
2499,
2773,
14012,
6,
306,
2765,
6044,
757,
133,
41872,
106,
4,
125458,
42,
39,
683,
8152,
1065,
501,
4448,
4426,
2858,
1388,
561,
10114,
16093,
83613,
15,
9,
45792,
10461,
70,
... | [
0.060028076171875,
0.1951904296875,
0.1302490234375,
0.288818359375,
0.277099609375,
0.1304931640625,
0.02679443359375,
0.043060302734375,
0.0093994140625,
0.0653076171875,
0.1165771484375,
0.19970703125,
0.1605224609375,
0.009124755859375,
0.08984375,
0.1678466796875,
0.020446777343... | |
6fad937e9a797a54f8698696f283cf7ab212b1fa | subsection | 20 | 58 | Weak Black-Box Traceability | Then, \mathcal {B} constructs a
ciphertext C asC_1=g^a, \qquad C_2=(g^a)^\alpha , \qquad C_{3 }=T , \qquad C_4=m \cdot \frac{ e(C_1,d_1) }{
e(C_2,d_2) \cdot C_{3 }^{t^\star } }where T \in \mathbb {G}_T.In Game_0, \mathcal {B} sets T=e(g,g)^{ab/c}
so that we have C_{3 }=e(g,h )^{a/c} and C is a valid ciphertext
(for the... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
6,
125458,
6827,
571,
64549,
1059,
94266,
22829,
313,
237,
115187,
177,
8353,
11,
91526,
304,
1369,
132,
16,
41872,
289,
14612,
4,
24854,
363,
51912,
618,
617,
39,
238,
15464,
132076,
28,
441,
71,
454,
18,
5613,
384,
73,
5125,
10666,
... | [
0.00341796875,
0.06536865234375,
0.1458740234375,
0.08544921875,
0.1600341796875,
0.09228515625,
0.1944580078125,
0.2451171875,
0.1224365234375,
0.00323486328125,
0.1622314453125,
0.0299072265625,
0.0579833984375,
0.045867919921875,
0.080078125,
0.1041259765625,
0.003387451171875,
... | |
1f13c2c468f6df4a398c9f7261a23a144a7d1fe2 | subsection | 21 | 58 | Weak Black-Box Traceability | Due to their reliance on attribute-based
encryption techniques (for which only selective-ID adversaries were
dealt with so far), earlier (weak) black-box A-IBE proposals
, are only known to provide selective-ID security
against dishonest users.As for the security against dishonest PKGs, we observed
that, in the FindKey... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 245,
"openalex_id": "",
"raw": "V. Goyal. Reducing Trust in the PKG in Identity-Based Cryptosystems. In Crypto'07, LNCS 4622, pp. 430–447, 2007.",
"source_ref_id": "b84dc7b5bd5079ccf2f8967d900222c20b4f87ec",
"start": 0... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
786,
13,
2363,
456,
87587,
98,
150380,
9,
77007,
22,
136791,
1830,
53088,
2472,
3129,
4734,
36849,
5844,
7146,
172096,
90,
3542,
7010,
678,
2060,
110680,
15,
1177,
344,
16,
22556,
11728,
62,
568,
20090,
152132,
7,
6,
51529,
22691,
48031... | [
0.036956787109375,
0.1004638671875,
0.012481689453125,
0.07904052734375,
0.1497802734375,
0.0318603515625,
0.2078857421875,
0.03466796875,
0.125244140625,
0.0263824462890625,
0.22998046875,
0.031646728515625,
0.16162109375,
0.03228759765625,
0.0272064208984375,
0.0799560546875,
0.141... | |
fb73a5ba9ef948c734c77263c88d9d7401935d0c | subsection | 22 | 58 | Weak Black-Box Traceability | From
lemma , it easily comes that \mathrm {Pr}[ctr \ne 0]
= \mathrm {Pr}[ctr \ge 1] \le L/p =16 \lambda / (\varepsilon p) \le 16
\lambda / (2^\lambda \varepsilon ) .To secure the scheme against chosen-ciphertext attacks and
preserve the weak black-box property, we can use the
Canetti-Halevi-Katz technique or its optimi... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 373,
"openalex_id": "",
"raw": "R. Canetti, S. Halevi, J. Katz. Chosen-Ciphertext Security from Identity-Based Encryption. In Eurocrypt'04, LNCS 3027, pp. 207–222, 2004.",
"source_ref_id": "bbc1b08db5d137e474035730a293e383ab... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
28090,
95,
18023,
72546,
32497,
450,
41872,
125458,
42,
39,
683,
8152,
15390,
6,
86,
757,
2203,
429,
106,
133,
339,
64,
254,
2485,
6492,
85,
248,
26761,
15759,
4759,
915,
611,
4700,
8353,
1388,
7763,
111670,
150370,
26548,
19667,
19,
... | [
0.039825439453125,
0.0601806640625,
0.2457275390625,
0.143798828125,
0.0867919921875,
0.05078125,
0.00408935546875,
0.10791015625,
0.1700439453125,
0.08746337890625,
0.035919189453125,
0.0687255859375,
0.058349609375,
0.017913818359375,
0.0858154296875,
0.1849365234375,
0.11352539062... | |
04f43806b11222221cc27de064863b68f7080d00 | subsection | 23 | 58 | Extension to Gentry's IBE | In this section, we show how to apply the weak black-box tracing
mechanism of
section to Gentry's IBE. The resulting A-IBE
system is obtained by bringing a simple modification to the key
generation protocol of Goyal's first scheme so as to
perfectly hide the user's key family from the PKG's view while preserving the ef... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 351,
"openalex_id": "",
"raw": "V. Goyal. Reducing Trust in the PKG in Identity-Based Cryptosystems. In Crypto'07, LNCS 4622, pp. 430–447, 2007.",
"source_ref_id": "b84dc7b5bd5079ccf2f8967d900222c20b4f87ec",
"start": 1... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
40059,
4,
7639,
3642,
59911,
642,
344,
22556,
11728,
1152,
21896,
191619,
47,
44704,
1294,
87,
20090,
16750,
62,
9,
568,
5426,
83,
113054,
297,
172915,
10,
8781,
129344,
70,
22799,
58093,
91363,
2016,
16300,
7,
5117,
150370,
221,
169123,
... | [
0.2330322265625,
0.0318603515625,
0.07940673828125,
0.0758056640625,
0.1724853515625,
0.1661376953125,
0.2210693359375,
0.1455078125,
0.2357177734375,
0.18994140625,
0.1610107421875,
0.2169189453125,
0.031585693359375,
0.1966552734375,
0.25341796875,
0.114013671875,
0.288330078125,
... | |
f7ecee493b9704d917a25e693f1dc0ede112bb41 | subsection | 24 | 58 | Extension to Gentry's IBE | 1.
\mathsf {U} picks t_0, \theta \stackrel{\begin{} _{\$}
\end{}}{\leftarrow } \mathbb {Z}_p^* and sends a commitment R=g^{-t_0} \cdot (g_1 \cdot g^{-\mathsf {ID}})^\theta to the PKG. He
also gives
an interactive witness
indistinguishable proof of knowledge of the pair (t_0,\theta ).
2.
The PKG outputs \bot if the pro... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
615,
41872,
125458,
7,
420,
1062,
39580,
808,
454,
2389,
4,
2347,
102,
590,
2594,
7962,
6820,
3611,
2480,
118201,
5125,
1511,
254,
1639,
25379,
10,
166794,
627,
177,
18,
15464,
115187,
706,
8353,
7146,
47,
70,
436,
45214,
1529,
76199,
... | [
0.1199951171875,
0.098876953125,
0.149658203125,
0.0703125,
0.255615234375,
0.2047119140625,
0.22265625,
0.093017578125,
0.050445556640625,
0.161376953125,
0.002166748046875,
0.21533203125,
0.1866455078125,
0.067626953125,
0.06591796875,
0.2012939453125,
0.038543701171875,
0.019180... | |
3e81bd5ec42bad6de693ca36ec0c119fdd3d22c7 | subsection | 25 | 58 | Extension to Gentry's IBE | Decrypt:
given C= \big (C_1,C_2,C_3 \big ) and d_{\mathsf {ID}}=({d},t_{\mathsf {ID}}),
compute
m=C_3 \cdot \Big ( e(C_1,d) \cdot C_2^{t_{\mathsf {ID}}}
\Big )^{-1}
Trace^{\mathbb {D}}(\mathsf {mpk},d_{\mathsf {ID}},\varepsilon ):
given a valid private key d_{\mathsf {ID}}=(d,t_{\mathsf {ID}})
belonging to user \mat... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
262,
136791,
12,
34475,
313,
1369,
41872,
32976,
441,
115187,
454,
304,
363,
6,
1388,
136,
104,
24854,
125458,
7,
420,
10666,
7146,
47391,
132,
71,
8152,
4,
18,
9969,
6743,
347,
238,
15464,
129933,
15,
28,
16,
8353,
5759,
4937,
329,
... | [
0.212646484375,
0.3369140625,
0.07696533203125,
0.149658203125,
0.1390380859375,
0.09014892578125,
0.03265380859375,
0.12158203125,
0.073974609375,
0.156494140625,
0.032196044921875,
0.0970458984375,
0.220458984375,
0.031707763671875,
0.032012939453125,
0.03179931640625,
0.1159667968... | |
61aa901c752b634ab81bbfab23ac30d2e3d65d77 | subsection | 26 | 58 | Extension to Gentry's IBE | Using the knowledge extractor of the proof of
knowledge, \mathcal {B} extracts (t_0,\theta ) by rewinding \mathcal {A} and
returns d_{\mathsf {ID}}=(d^{\prime },t_{\mathsf {ID}}^{\prime }), where t_{\mathsf {ID}}^{\prime }=t_{\mathsf {ID}}-t_0 and
d^{\prime }=d_{\mathsf {ID}} \cdot g^{\theta }.In the challenge phase, \... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1236,
"openalex_id": "",
"raw": "C. Gentry. Practical Identity-Based Encryption Without Random Oracles. In Eurocrypt'06, LNCS 4004, pp. 445–464, 2006.",
"source_ref_id": "8770efb420b1543fa74358b9f294deb9fdcfc53f",
"sta... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
345,
6953,
51359,
4173,
18770,
111,
98869,
6,
125458,
6827,
571,
125663,
18,
454,
2389,
4,
2347,
102,
1388,
390,
456,
50777,
214,
41872,
284,
8152,
30646,
7,
104,
24854,
420,
10666,
7146,
47391,
1369,
132,
71,
114654,
51912,
8353,
247,
... | [
0.033111572265625,
0.023956298828125,
0.24658203125,
0.187744140625,
0.171142578125,
0.1302490234375,
0.2166748046875,
0.030609130859375,
0.127685546875,
0.1956787109375,
0.1641845703125,
0.1817626953125,
0.05084228515625,
0.03094482421875,
0.1126708984375,
0.03070068359375,
0.157592... | |
71d352a1980293a795b1ef6db39ea7ee4e6fe2ec | subsection | 27 | 58 | Extension to Gentry's IBE | Then,
in the interactive key generation protocol, \mathcal {A} sends a commitment
R=g^{-t_0} \cdot (g_1 \cdot g^{-\mathsf {ID}})^{\theta } and proves
knowledge of the pair (t_0,\theta ), which \mathcal {B} extracts by
rewinding \mathcal {A} as in the proof of theorem
. As in the latter, \mathcal {B} replies with a
well... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1439,
"openalex_id": "",
"raw": "C. Gentry. Practical Identity-Based Encryption Without Random Oracles. In Eurocrypt'06, LNCS 4004, pp. 445–464, 2006.",
"source_ref_id": "8770efb420b1543fa74358b9f294deb9fdcfc53f",
"sta... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
47009,
23,
212398,
22799,
58093,
91363,
125458,
6827,
284,
25379,
10,
166794,
627,
177,
18,
2389,
8152,
41872,
15464,
115187,
6,
238,
706,
8353,
9,
420,
7146,
47391,
16,
2347,
102,
23534,
51359,
80836,
247,
571,
125663,
7,
456,
50777,
2... | [
0.011016845703125,
0.0107421875,
0.221435546875,
0.22509765625,
0.2191162109375,
0.2117919921875,
0.10693359375,
0.17041015625,
0.080322265625,
0.1341552734375,
0.0259246826171875,
0.2347412109375,
0.05438232421875,
0.0489501953125,
0.01641845703125,
0.1116943359375,
0.01545715332031... | |
d9e3f883b1b88a85c690911c158ecfa1951eb37d | subsection | 28 | 58 | Extension to Gentry's IBE | The weak black-box security against dishonest PKGs follows from the
information theoretic secrecy of the user's private key element
t_{\mathsf {ID}} upon termination of the key generation protocol.In the information theoretic sense, no adversary has an advantage in
the \mathrm {FindKey}\textrm {-}\mathrm {CPA} game.To ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 425,
"openalex_id": "",
"raw": "C. Gentry. Practical Identity-Based Encryption Without Random Oracles. In Eurocrypt'06, LNCS 4004, pp. 445–464, 2006.",
"source_ref_id": "8770efb420b1543fa74358b9f294deb9fdcfc53f",
"star... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
642,
344,
22556,
9,
11728,
48031,
26548,
45,
61116,
525,
436,
45214,
7,
28960,
1295,
70,
4677,
4524,
9523,
40,
7612,
2408,
38937,
14375,
22799,
12830,
808,
454,
125458,
420,
7146,
54799,
29527,
1363,
111,
58093,
91363,
10422,
4,
110,
64... | [
0.1517333984375,
0.201171875,
0.1553955078125,
0.0239410400390625,
0.2237548828125,
0.2415771484375,
0.1661376953125,
0.0596923828125,
0.1744384765625,
0.09979248046875,
0.07879638671875,
0.232666015625,
0.04541015625,
0.1011962890625,
0.03125,
0.04046630859375,
0.1209716796875,
0.... | |
9c75a1c4def34b71c8ca76ec6363184d0b70f803 | subsection | 29 | 58 | Extension to Identity-Based Broadcast Encryption | As already stressed in , , reducing the required
amount of trust in PKGs is an equally important problem in IBE
schemes and their extensions such as attributed-based encryption or
identity-based broadcast encryption (IBBE).In this section, we thus show how the underlying idea of
previous schemes can be applied to one o... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 223,
"openalex_id": "",
"raw": "V. Goyal. Reducing Trust in the PKG in Identity-Based Cryptosystems. In Crypto'07, LNCS 4622, pp. 430–447, 2007.",
"source_ref_id": "b84dc7b5bd5079ccf2f8967d900222c20b4f87ec",
"start": 0... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
1301,
21771,
11405,
23,
6,
241866,
56065,
41170,
111,
63207,
436,
45214,
7,
83,
105950,
538,
5526,
2967,
87,
20090,
150370,
136,
111938,
150380,
297,
9,
77007,
22,
136791,
1830,
707,
182324,
226347,
29877,
903,
40059,
4,
4911,
7639,
3642,... | [
0.046661376953125,
0.086181640625,
0.09881591796875,
0.0148773193359375,
0.0250244140625,
0.2298583984375,
0.175048828125,
0.1256103515625,
0.104248046875,
0.25830078125,
0.1204833984375,
0.248046875,
0.068359375,
0.0369873046875,
0.10345458984375,
0.1612548828125,
0.13232421875,
0... | |
25ab7337f33e1329480fd2613288157da9c30896 | subsection | 30 | 58 | The Boneh-Hamburg IBBE | An identity-based broadcast encryption scheme, as formalized in
, can be seen as an IBE where ciphertexts can be
decrypted by more than one receiver. Syntactically, it consists of
four algorithms:Setup: given a security parameter and a bound N on the number of receivers per ciphertext, this algorithm
outputs a master k... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 149,
"openalex_id": "",
"raw": "M. Abdalla, E. Kiltz, G. Neven. Generalized Key Delegation for Hierarchical Identity-Based Encryption. In ESORICS'07, LNCS 4734, pp. 139–154. Springer, 2007.",
"source_ref_id": "c3537649910d0a... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
893,
182324,
9,
77007,
226347,
22,
136791,
1830,
150370,
237,
23113,
29367,
23,
6,
4,
831,
186,
51592,
142,
87,
20090,
7440,
1059,
94266,
22829,
7,
8,
297,
390,
1286,
3501,
1632,
53299,
42,
5,
19010,
18,
47013,
71407,
442,
58055,
111,... | [
0.04449462890625,
0.281494140625,
0.032958984375,
0.221435546875,
0.271484375,
0.1221923828125,
0.28955078125,
0.099853515625,
0.20263671875,
0.0689697265625,
0.1356201171875,
0.01123046875,
0.032867431640625,
0.03302001953125,
0.033050537109375,
0.087158203125,
0.0328369140625,
0.... | |
c734c2fa05b7df7a0ea43fb68e40fbf0ba2e4a83 | subsection | 31 | 58 | The Boneh-Hamburg IBBE | In the following, we use the same notations as in and,
for any vector \mathbf {a}=(a_0,\ldots ,a_N) \in \mathbb {Z}_p^{N+1},
g^{\mathbf {a}} stands for the vector (g^{a_0},\ldots ,g^{a_N}) \in \mathbb {G}^{N+1} . The description of the Boneh-Hamburg IBBE scheme is as
follows.Setup(\lambda ,N):
given a security paramete... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 213,
"openalex_id": "",
"raw": "D. Boneh, M. Hamburg. Generalized Identity Based and Broadcast Encryption Schemes. In Asiacrypt'08, LNCS 5350, pp. 455–470, 2008",
"source_ref_id": "0b16f2795cb6dce2c8495ae09b75009c5fc89a58",
... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
25632,
642,
4527,
5701,
959,
21094,
136,
2499,
173,
18770,
150598,
11,
2389,
30591,
454,
839,
73,
125458,
5125,
1511,
254,
21748,
706,
8353,
9157,
100,
177,
724,
76811,
70,
149987,
127,
9,
141511,
13593,
88874,
20090,
150370,
28960,
126,
... | [
0.08837890625,
0.008880615234375,
0.0828857421875,
0.0811767578125,
0.1416015625,
0.05279541015625,
0.0802001953125,
0.05303955078125,
0.2041015625,
0.2294921875,
0.189697265625,
0.131591796875,
0.1455078125,
0.037139892578125,
0.0369873046875,
0.0870361328125,
0.0220184326171875,
... | |
2e14913fcbed16c3e715a3057416d53855f85449 | subsection | 32 | 58 | The Boneh-Hamburg IBBE | Keygen(\mathsf {msk},\mathsf {ID}):
to generate a private key for an identity \mathsf {ID}, choose a random r \stackrel{\begin{} _{\$}
\end{}}{\leftarrow } \mathbb {Z}_p^* and compute
K_{\mathsf {ID}} &=& (K_{1},K_{2},T_{0},\ldots ,T_{N-1}) \\
&=& \big (g_2^{\alpha } \cdot z^{r},~g^{r},~h_1^{r} \cdot h_0^{-\mathsf {ID... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
26824,
1409,
132,
41872,
125458,
420,
1042,
7146,
2077,
47,
139392,
10,
14375,
22799,
100,
142,
182324,
8152,
55076,
96759,
1690,
7962,
372,
6820,
24854,
6,
3611,
47391,
118201,
51912,
5125,
10666,
1511,
454,
254,
1639,
9969,
6743,
341,
7... | [
0.20556640625,
0.303466796875,
0.0484619140625,
0.008392333984375,
0.058502197265625,
0.1279296875,
0.1229248046875,
0.1595458984375,
0.06781005859375,
0.0711669921875,
0.1929931640625,
0.00433349609375,
0.195556640625,
0.2421875,
0.0616455078125,
0.003753662109375,
0.237548828125,
... | |
4e416b1af1f99feab38b221a407d86360fb22e5d | subsection | 33 | 58 | The Boneh-Hamburg IBBE | Expand the polynomial
P_{\mathsf {ID}}(X)=\prod _{\mathsf {ID}_j \in S \backslash \lbrace \mathsf {ID}\rbrace } (X-\mathsf {ID}_j) = y_{n-1}^{(\mathsf {ID})} X^{n-1} + y_{n-2}^{(\mathsf {ID})} X^{n-2} + \cdots + y_1^{(\mathsf {ID})} X + y_0^{(\mathsf {ID})}
and use its coefficients to compute
(D_{\mathsf {ID}},d_{\... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
60075,
2940,
35874,
1687,
15403,
436,
454,
125458,
420,
7146,
47391,
132,
1542,
16,
1369,
112348,
24854,
7,
8152,
170,
6,
73,
159,
12620,
5544,
99407,
41872,
2203,
113,
19,
5759,
10666,
1193,
997,
5428,
8353,
15464,
115187,
2389,
136,
4... | [
0.1845703125,
0.1697998046875,
0.214599609375,
0.2152099609375,
0.133056640625,
0.1995849609375,
0.104736328125,
0.053466796875,
0.1368408203125,
0.2152099609375,
0.0428466796875,
0.08013916015625,
0.233642578125,
0.002960205078125,
0.04779052734375,
0.27880859375,
0.00323486328125,
... | |
39e992d3e84205cecc3c493b6735afa82f477953 | subsection | 34 | 58 | The Boneh-Hamburg IBBE | Recover the plaintext as
m = C_0 \cdot e\big (C_1, D_{\mathsf {ID}} \big )^{-1} \cdot e\big (C_2, \ d_{\mathsf {ID}} \big ).To see why step 1 of the decryption algorithm works, one observes
that, for any polynomials (X-\mathsf {ID}) and P_{\mathsf {ID}}(X)= y_{n-1}^{(\mathsf {ID})}
X^{n-1} + y_{n-2}^{(\mathsf {ID})} ... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
853,
63127,
70,
111719,
22829,
237,
347,
2203,
313,
454,
2389,
6,
15464,
28,
32976,
441,
115187,
391,
41872,
125458,
7,
420,
7146,
47391,
1388,
5759,
8152,
304,
4,
104,
194,
1957,
15400,
29954,
106,
111,
8,
136791,
1830,
234873,
43240,
... | [
0.126953125,
0.2469482421875,
0.0853271484375,
0.1866455078125,
0.275390625,
0.092529296875,
0.18603515625,
0.08819580078125,
0.07147216796875,
0.0206451416015625,
0.125732421875,
0.0091552734375,
0.156982421875,
0.1370849609375,
0.06005859375,
0.0345458984375,
0.1427001953125,
0.0... | |
1dc73a191c2078efbf812d1db7fcd22b549cd716 | subsection | 35 | 58 | The Boneh-Hamburg IBBE | Since the latter matrix is
such thatM_1^t \cdot \mathbf {a}|_{n+1} = M_1^t \cdot \begin{pmatrix}
a_0 \\ a_1 \\ \vdots \\ a_n
\end{pmatrix}=\begin{pmatrix}
a_1-\mathsf {ID}\cdot a_0 \\ a_2 -\mathsf {ID}\cdot a_1 \\ \vdots \\ a_n-\mathsf {ID}\cdot a_{n-1}
\end{pmatrix},for each private key K_{\mathsf {ID}}, the first n d... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1462,
"openalex_id": "",
"raw": "D. Boneh, M. Hamburg. Generalized Identity Based and Broadcast Encryption Schemes. In Asiacrypt'08, LNCS 5350, pp. 455–470, 2008",
"source_ref_id": "0b16f2795cb6dce2c8495ae09b75009c5fc89a58",... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
66016,
21,
3055,
50944,
425,
6044,
594,
115187,
8353,
18,
15464,
6,
41872,
125458,
150598,
11,
8152,
24854,
21748,
2203,
276,
238,
372,
6820,
192,
87427,
10,
2389,
18991,
59805,
30591,
19,
3611,
254,
1369,
9,
7,
420,
10666,
7146,
454,
... | [
0.029327392578125,
0.00787353515625,
0.073974609375,
0.178466796875,
0.06927490234375,
0.0928955078125,
0.0887451171875,
0.179931640625,
0.09619140625,
0.0860595703125,
0.10711669921875,
0.02056884765625,
0.0209808349609375,
0.07501220703125,
0.15185546875,
0.0706787109375,
0.0211029... | |
ab7f1018def238bdd83b8bfb50dae726f2d18cea | subsection | 36 | 58 | The Boneh-Hamburg IBBE | The adversary is then allowed to query private keys for identities
\mathsf {ID}_i \notin S^\star and eventually aims at guessing which one
out of two messages of her choice was encrypted in the generation of
C^\star . | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
581,
64406,
6635,
83,
7068,
107003,
47,
41,
1294,
14375,
22799,
7,
100,
31943,
2449,
41872,
125458,
420,
7146,
14,
157,
2311,
159,
8353,
5613,
155605,
131264,
99,
57767,
214,
3129,
1632,
111,
6626,
89914,
604,
44126,
509,
22,
136791,
29... | [
0.042266845703125,
0.252685546875,
0.2257080078125,
0.02960205078125,
0.041595458984375,
0.178466796875,
0.04278564453125,
0.108642578125,
0.135498046875,
0.17578125,
0.1885986328125,
0.061676025390625,
0.0498046875,
0.205810546875,
0.116455078125,
0.002471923828125,
0.0799560546875,... | |
adb7d6a791703c1ab9bd52fe8f187adec3c7f1c3 | subsection | 37 | 58 | A weak Black-Box Accountable Authority IBBE | The idea of the scheme in section applies to
construct an IBBE scheme with short ciphertexts and accountable
authorities. The syntax of accountable authority IBBE (A-IBBE)
schemes extends that of IBBE systems in the same way as the A-IBE
primitive extends IBE. The resulting construction goes as follows.Setup(\lambda ,N... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
6528,
150370,
23,
40059,
4027,
25720,
64549,
88874,
20090,
678,
16610,
1059,
94266,
22829,
7,
136,
15426,
2886,
207048,
6002,
86531,
180210,
284,
9,
29877,
65042,
76519,
70,
5701,
3917,
62,
568,
128489,
13,
87,
16750,
214,
50961,
60899,
2... | [
0.17919921875,
0.235107421875,
0.042144775390625,
0.150634765625,
0.09283447265625,
0.08544921875,
0.1907958984375,
0.1884765625,
0.256103515625,
0.06414794921875,
0.178955078125,
0.06787109375,
0.1534423828125,
0.224609375,
0.0266571044921875,
0.05145263671875,
0.2239990234375,
0.... | |
b1a6f9d27b960ac90c3e47e060d0cc39aa976070 | subsection | 38 | 58 | A weak Black-Box Accountable Authority IBBE | \mathsf {U} picks r^{\prime } \stackrel{\begin{} _{\$}
\end{}}{\leftarrow } \mathbb {Z}_p^* and computes
K_{\mathsf {ID}}=(K_{1} ,K_{2},T_{0},\ldots ,T_{N-1},t_{\mathsf {ID}}), where K_1=(K_1^{\prime } /g_1^{\theta }) \cdot z^{r^{\prime }}, K_2=K_2^{\prime } \cdot g^{r^{\prime }},
T_i=T_i^{\prime } \cdot (h_{i+1} \cdot... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
6,
41872,
125458,
7,
420,
10666,
1062,
39580,
1690,
8353,
114654,
590,
2594,
7962,
372,
6820,
24854,
8152,
3611,
47391,
133,
2480,
118201,
51912,
5125,
1511,
254,
1639,
136,
375,
7077,
90,
341,
454,
7146,
1369,
132,
605,
418,
4,
304,
... | [
0.02935791015625,
0.0301666259765625,
0.1573486328125,
0.06298828125,
0.236328125,
0.0294189453125,
0.216064453125,
0.1873779296875,
0.1090087890625,
0.04010009765625,
0.2476806640625,
0.03131103515625,
0.0340576171875,
0.142578125,
0.02880859375,
0.05352783203125,
0.03125,
0.02960... | |
a0a8bc9fe31df24ba97d17a0bcafec1282337a6f | subsection | 39 | 58 | A weak Black-Box Accountable Authority IBBE | Choose s \stackrel{\begin{} _{\$}
\end{}}{\leftarrow } \mathbb {Z}_p^* and compute
C &=& ( C_0,C_1,C_2,C_3) \\ &=& \Bigl ( m \cdot e(g_1,g_3)^s,~g^s,~\big (z \cdot h_0^{\rho _0} \cdot h_1^{\rho _1}
\cdots h_n^{\rho _n}\big )^s,~e(g_1,g_2)^s \Bigr ). \\
Decrypt(\mathsf {mpk},K_{\mathsf {ID}},C,S):
parse C as
( C_0,C_... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
211525,
91,
590,
2594,
7962,
372,
6820,
8152,
24854,
4369,
6,
3611,
133,
118201,
51912,
41872,
125458,
5125,
1511,
254,
1639,
136,
9969,
6743,
313,
1230,
2389,
441,
115187,
304,
21320,
1369,
129933,
141,
15,
347,
238,
15464,
28,
132,
17... | [
0.189697265625,
0.1328125,
0.0181121826171875,
0.0020751953125,
0.150634765625,
0.00982666015625,
0.042999267578125,
0.010772705078125,
0.011016845703125,
0.00299072265625,
0.010284423828125,
0.0254364013671875,
0.0091552734375,
0.13818359375,
0.010284423828125,
0.010986328125,
0.032... | |
47abd454df552431678096688cfb1b86e52c59e2 | subsection | 40 | 58 | A weak Black-Box Accountable Authority IBBE | Trace^{\mathbb {D}}(\mathsf {mpk},K_{\mathsf {ID}},\varepsilon ):
given a valid private key K_{\mathsf {ID}}
for the identity \mathsf {ID}
and a \varepsilon -useful decoder \mathbb {D}, the tracing
algorithm proceeds in a similar fashion to previous schemes, by
feeding \mathbb {D} with ciphertexts C=(C_0,C_1,C_2,C_3) a... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
4937,
329,
8353,
125458,
5125,
397,
47391,
7,
420,
10666,
2676,
92,
8152,
4,
605,
454,
24854,
41872,
7146,
26761,
15759,
4759,
6,
2077,
34475,
10,
35604,
14375,
22799,
341,
100,
70,
182324,
136,
4032,
7844,
8,
587,
820,
1152,
21896,
2... | [
0.25244140625,
0.1949462890625,
0.05096435546875,
0.125,
0.1856689453125,
0.1649169921875,
0.033477783203125,
0.026641845703125,
0.196533203125,
0.026702880859375,
0.036376953125,
0.10791015625,
0.0269622802734375,
0.0267333984375,
0.0931396484375,
0.047088623046875,
0.02671813964843... | |
b1f3176864135b4212b40c59cf4a2e62239a2a53 | subsection | 41 | 58 | A weak Black-Box Accountable Authority IBBE | Then, \mathcal {B} picks t^*,\beta \stackrel{\begin{} _{\$}
\end{}}{\leftarrow } \mathbb {Z}_p^*, computes g_3 =
g_2^{-t^*} g^{\beta } and provides \mathcal {A} with \mathsf {mpk}=(g,g_1
,g_2,g_3,z,\mathbf {h}).At any time, \mathcal {A} may request an execution of the key
generation protocol for an arbitrary identity \... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
47009,
125458,
6827,
571,
39580,
7,
808,
8353,
1639,
59865,
590,
2594,
7962,
41872,
372,
6820,
24854,
8152,
6,
3611,
47391,
133,
118201,
51912,
5125,
1511,
254,
7077,
706,
363,
2203,
304,
9,
18,
87344,
284,
420,
10666,
2676,
92,
1369,
... | [
0.0552978515625,
0.12451171875,
0.1890869140625,
0.151611328125,
0.1661376953125,
0.028045654296875,
0.049102783203125,
0.099853515625,
0.0726318359375,
0.274169921875,
0.0704345703125,
0.06494140625,
0.2156982421875,
0.0252685546875,
0.0234222412109375,
0.045562744140625,
0.02543640... | |
74a9b4e224c6ed1b227871422353dc47266cea52 | subsection | 42 | 58 | A weak Black-Box Accountable Authority IBBE | The new key K_{\mathsf {ID}} is easily seen to
have the same distribution as those obtained in step 3 of the key
generation protocol. Finally, \mathcal {A} obtains the “blinded key”
K_{\mathsf {ID}}^{\prime }=(K_{1}^{\prime },K_{2}^{\prime },T_{0}^{\prime },\ldots ,T_{N-1}^{\prime }), where K_1^{\prime }=K_1
\cdot g_1^... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
3525,
22799,
341,
454,
125458,
420,
7146,
72546,
51592,
765,
70,
5701,
113068,
113054,
297,
29954,
138,
58093,
91363,
5,
201106,
4,
6,
6827,
284,
52,
210873,
41872,
7,
47391,
8353,
24854,
114654,
51912,
1369,
132,
605,
418,
8152,
304,
6... | [
0.11669921875,
0.25634765625,
0.13720703125,
0.03729248046875,
0.095458984375,
0.1343994140625,
0.138671875,
0.1209716796875,
0.09747314453125,
0.04168701171875,
0.0292816162109375,
0.1082763671875,
0.1668701171875,
0.1107177734375,
0.156494140625,
0.1156005859375,
0.1068115234375,
... | |
7e333833c830d8f17f95476acb7abf25c643995c | subsection | 43 | 58 | A weak Black-Box Accountable Authority IBBE | In contrast, if C^\star encrypts m^\star , then C^{\prime } is
a valid encryption of m_d for the A-IBBE scheme, so that
\mathrm {Pr}[d^{\prime }=d]=1/2+\mathbf {Adv}^{\mathrm {BH}\textrm {-}\mathrm {IND}\textrm {-}\mathrm {sID}\textrm {-}\mathrm {CPA}}_{\mathbb {G},\mathbb {G}_T}(\lambda ),
where the latter advantage f... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
69822,
4,
2174,
313,
8353,
41872,
5613,
22,
136791,
7,
347,
6,
24854,
114654,
83,
35604,
1830,
454,
71,
62,
9,
29877,
20090,
150370,
125458,
42,
39,
683,
8152,
51912,
1369,
268,
118551,
1328,
150598,
10666,
22409,
334,
102047,
69283,
22... | [
0.1300048828125,
0.034393310546875,
0.036224365234375,
0.118408203125,
0.1279296875,
0.03619384765625,
0.23681640625,
0.0968017578125,
0.3056640625,
0.10137939453125,
0.0858154296875,
0.0341796875,
0.034454345703125,
0.21435546875,
0.033843994140625,
0.1529541015625,
0.066162109375,
... | |
bd309cf4f6f69e10e2b3ae6d997b20c894c2d5e8 | subsection | 44 | 58 | A weak Black-Box Accountable Authority IBBE | The master public key of the A-IBBE system is
defined as \mathsf {mpk}=(g,g_1,g_2,g_3,z,\mathbf {h} ) and given to
\mathcal {A}.Then, \mathcal {A} starts making a number of key generation queries.
For each key generation query involving an identity \mathsf {ID}\ne \mathsf {ID}^\star , \mathcal {B} proceeds by invoking ... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
581,
31347,
3835,
22799,
70,
62,
9,
29877,
20090,
5426,
83,
61924,
71,
237,
125458,
420,
2676,
92,
8152,
1369,
177,
4,
115187,
304,
454,
363,
169,
41872,
150598,
10666,
127,
1388,
136,
34475,
47,
6,
6827,
284,
5,
3957,
19,
4034,
7,
... | [
0.0171966552734375,
0.21630859375,
0.2083740234375,
0.2822265625,
0.0261993408203125,
0.1871337890625,
0.07073974609375,
0.213134765625,
0.279541015625,
0.18994140625,
0.034271240234375,
0.17333984375,
0.0253448486328125,
0.06085205078125,
0.1119384765625,
0.165771484375,
0.061523437... | |
05a68f961db500f2db07b5eb0ca628bf20d97f82 | subsection | 45 | 58 | A weak Black-Box Accountable Authority IBBE | On the
other hand, if \mathcal {C}^{\mathrm {BH}} decides to play the
“random” game, C_0^\star is random in \mathbb {G}_T. To construct a
ciphertext for the A-IBBE scheme, \mathcal {B} sets C_3=C_0^\star /m^\star
(which equals e(g_1,g_2)^{s^\star } in the “real” game and
e(g_1,g_2)^{s^{\prime }}, with s^{\prime }\ne s... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
70,
3789,
3535,
2174,
6,
125458,
6827,
441,
24854,
41872,
39,
102047,
47391,
28288,
7,
47,
11301,
52,
46258,
6712,
313,
454,
2389,
8353,
5613,
83,
96759,
23,
5125,
724,
618,
5,
717,
64549,
1059,
94266,
22829,
100,
62,
9,
29877,
20090,... | [
0.0234222412109375,
0.033203125,
0.044952392578125,
0.09136962890625,
0.02374267578125,
0.0966796875,
0.194580078125,
0.1224365234375,
0.024017333984375,
0.0239105224609375,
0.1846923828125,
0.205322265625,
0.0239105224609375,
0.14501953125,
0.032501220703125,
0.04473876953125,
0.147... | |
ed6c9f0c2055b2b632225308b78c11d7f25dc562 | subsection | 46 | 58 | A weak Black-Box Accountable Authority IBBE | Since the result of implies that
\mathbf {Adv}^{\mathrm {BH}\textrm {-}\mathrm {IND}\textrm {-}\mathrm {sID}\textrm {-}\mathrm {CPA}}_{\mathbb {G},\mathbb {G}_T}(\lambda )
\le \mathbf {Adv}^{(N+1)\textrm {-}\mathrm {DBDHE}}_{\mathbb {G},\mathbb {G}_T}(\lambda )
, the claimed result follows.In the selective-ID \mathrm {... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 292,
"openalex_id": "",
"raw": "D. Boneh, M. Hamburg. Generalized Identity Based and Broadcast Encryption Schemes. In Asiacrypt'08, LNCS 5350, pp. 455–470, 2008",
"source_ref_id": "0b16f2795cb6dce2c8495ae09b75009c5fc89a58",
... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
66016,
70,
16750,
111,
35388,
90,
6,
125458,
150598,
22409,
334,
8152,
8353,
24854,
41872,
42,
39,
102047,
10666,
9,
69283,
22829,
7,
7146,
17854,
284,
47391,
454,
5125,
724,
4,
618,
132,
6492,
85,
1388,
133,
839,
21748,
16,
39463,
39... | [
0.10211181640625,
0.0188446044921875,
0.2122802734375,
0.15087890625,
0.1826171875,
0.03399658203125,
0.003448486328125,
0.07806396484375,
0.1678466796875,
0.06707763671875,
0.1943359375,
0.00360107421875,
0.003173828125,
0.00341796875,
0.00323486328125,
0.004974365234375,
0.00375366... | |
5e5489738c91241084036228ca01925020115ca3 | subsection | 47 | 58 | Conclusion | We described the first A-IBE system allowing for weak black-box
traceability while retaining short ciphertexts and private keys. We
also suggested a white-box variant that dwells secure against
dishonest PKGs equipped with a decryption oracle. In the black-box
setting, it remains an open problem to achieve the latter p... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
1401,
151552,
5117,
62,
9,
568,
20090,
5426,
190358,
642,
344,
22556,
11728,
144851,
41159,
12960,
112033,
14653,
16610,
94266,
22829,
136,
14375,
22799,
42459,
35011,
20117,
19256,
111670,
26548,
45,
61116,
525,
436,
45214,
46979,
8,
136791,... | [
0.052276611328125,
0.13232421875,
0.08856201171875,
0.1263427734375,
0.0210113525390625,
0.10162353515625,
0.2413330078125,
0.1832275390625,
0.1148681640625,
0.1107177734375,
0.155029296875,
0.134521484375,
0.1981201171875,
0.1611328125,
0.1094970703125,
0.03875732421875,
0.091979980... | |
9e9c1b662c15b23caf55a097401da71d1210fd5e | subsection | 48 | 58 | A Variant with White-Box FindKey-CCA security | To achieve IND-sID-CCA2 security, we can hybridize the scheme using
an authenticated symmetric encryption
scheme (as defined in appendix ) as previously
considered in , in the context of identity-based
encryption. The obtained variant is
reminiscent of a version of Gentry's IBE
described in and can be proved IND-sID-CC... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 214,
"openalex_id": "",
"raw": "P. Sarkar, S. Chatterjee. Construction of a Hybrid HIBE Protocol Secure Against Adaptive Attacks. In ProvSec'07, LNCS 4784, pp. 51–67, 2007.",
"source_ref_id": "f379c87fe5c1f0f7030e2a15665111c... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
717,
69307,
51383,
9,
7,
7146,
13709,
284,
304,
48031,
642,
831,
113490,
20650,
150370,
17368,
195734,
27686,
230612,
238,
22,
136791,
1830,
162,
61924,
71,
23,
114689,
428,
1388,
237,
198395,
90698,
6,
4,
70,
43701,
111,
182324,
77007,
... | [
0.046875,
0.15283203125,
0.2452392578125,
0.06707763671875,
0.085693359375,
0.2178955078125,
0.1177978515625,
0.1466064453125,
0.2454833984375,
0.2384033203125,
0.029998779296875,
0.07257080078125,
0.258056640625,
0.13623046875,
0.2042236328125,
0.0283050537109375,
0.2139892578125,
... | |
cb4656f0a0254750af579b79d40dd759aab4f4e6 | subsection | 49 | 58 | A Variant with White-Box FindKey-CCA security | Otherwise, it picks random values r_{A}^{\prime },t_{A,1},r_B^{\prime },t_B \stackrel{\begin{} _{\$}
\end{}}{\leftarrow } \mathbb {Z}_p^* and returns
d_{\mathsf {ID},A}^{\prime } &=& (d_{A,1}^{\prime },d_{A,2}^{\prime },d_{A,3}^{\prime }) = \Big ( ( Y \cdot R
\cdot h^{t_{A,1}})^{1/x} \cdot (g^\mathsf {ID}\cdot Z)^{r_... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
64511,
90825,
4,
442,
39580,
7,
96759,
142424,
1690,
454,
284,
114654,
18,
418,
8152,
42,
571,
8353,
41872,
6,
590,
2594,
7962,
372,
6820,
24854,
3611,
2480,
118201,
51912,
125458,
5125,
1511,
254,
1639,
136,
30646,
104,
420,
7146,
619,... | [
0.1700439453125,
0.2259521484375,
0.04150390625,
0.243408203125,
0.2315673828125,
0.1107177734375,
0.28466796875,
0.2430419921875,
0.1292724609375,
0.0167388916015625,
0.113525390625,
0.215576171875,
0.04888916015625,
0.0404052734375,
0.00823974609375,
0.014007568359375,
0.0946655273... | |
0ccb67a845e4be1c52e926d5f1753e0e1dbabdb7 | subsection | 50 | 58 | A Variant with White-Box FindKey-CCA security | \mathsf {U} computes
d_{\mathsf {ID},A}=({d_{A,1}^{\prime }}/{g^\theta } \cdot (g^{\mathsf {ID}} \cdot Z)^{r_A^{\prime \prime }},~d_{A,2}^{\prime } \cdot X^{r_A^{\prime \prime }},~{d_{A,3}^{\prime }}+t_0)
as well as d_{\mathsf {ID},B}=({d_{B,1}^{\prime }} \cdot (g^{\mathsf {ID}} \cdot Z)^{r_B^{\prime \prime }},~d_{B,2}... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
41872,
125458,
7,
420,
1062,
8152,
375,
7077,
90,
104,
454,
24854,
7146,
4,
284,
1369,
132,
71,
418,
8353,
114654,
6,
47391,
64,
177,
2347,
102,
51912,
15464,
10666,
567,
16,
42,
304,
238,
1193,
363,
1328,
18,
77495,
237,
5299,
571,... | [
0.0248260498046875,
0.13623046875,
0.012847900390625,
0.169677734375,
0.212158203125,
0.013763427734375,
0.07635498046875,
0.1917724609375,
0.07012939453125,
0.1932373046875,
0.09228515625,
0.01422119140625,
0.2049560546875,
0.013885498046875,
0.13916015625,
0.048309326171875,
0.0130... | |
ea8b4f0325e812dd27da36072297565cb737e5db | subsection | 51 | 58 | A Variant with White-Box FindKey-CCA security | Encrypt:
to encrypt m given \mathsf {mpk} and \mathsf {ID}, choose s \stackrel{\begin{} _{\$}
\end{}}{\leftarrow } \mathbb {Z}_p^* and compute
C= \big ( C_1,C_2,C_3,C_4 \big )= \Big ( X^{s} ,~ (g^\mathsf {ID}\cdot Z)^{s},~e(g,h)^s ,~ \mathsf {E}_K(m) \Big )
where K=KDF( e(g,Y_A)^s \cdot e(g,Y_B)^{\kappa s}) and
\kap... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1223,
"openalex_id": "",
"raw": "E. Kiltz, Y. Vahlis. CCA2 Secure IBE: Standard Model Efficiency through Authenticated Symmetric Encryption In CT-RSA'08, LNCS 4964, pp. 221–238, 2008.",
"source_ref_id": "df6676cff0343c03b17f... | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
357,
136791,
12,
47,
22,
347,
34475,
6,
125458,
420,
2676,
92,
8152,
136,
41872,
7,
7146,
55076,
91,
2594,
7962,
372,
6820,
24854,
47391,
133,
118201,
51912,
5125,
10666,
1511,
454,
1639,
9969,
6743,
313,
1369,
32976,
15,
115187,
4,
4... | [
0.1058349609375,
0.33642578125,
0.099609375,
0.11865234375,
0.141357421875,
0.197265625,
0.1202392578125,
0.0250701904296875,
0.054534912109375,
0.1583251953125,
0.00628662109375,
0.0986328125,
0.0254058837890625,
0.0723876953125,
0.0251617431640625,
0.0249786376953125,
0.15063476562... | |
2b3c80fd4bc9392b054ecf369f2f2f0c7900d606 | subsection | 52 | 58 | A Variant with White-Box FindKey-CCA security | The
advantage of an adversary \mathcal {A} making at most q_d decryption
queries is bounded by\mathbf {Adv}_{\mathcal {A}}^{\mathrm {FindKey}\textrm {-}\mathrm {CCA}}(\lambda ,\ell )
\le 2 \cdot q_d \cdot \mathbf {Adv}^{\mathsf {CT\textrm {-}INT}}(\ell ) \\ + 2 \cdot q_d
\cdot \mathbf {Adv}^{\mathsf {KDF}}(\lambda ,\el... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
581,
92940,
111,
142,
64406,
6635,
125458,
6827,
284,
20662,
99,
2684,
8096,
454,
71,
8,
136791,
1830,
41,
10484,
83,
876,
167457,
390,
150598,
22409,
334,
204582,
162429,
9,
13709,
6492,
85,
6796,
133,
116,
238,
15464,
420,
43379,
5953... | [
0.05853271484375,
0.281494140625,
0.03778076171875,
0.000030517578125,
0.2578125,
0.22705078125,
0.06842041015625,
0.1890869140625,
0.143310546875,
0.117919921875,
0.01312255859375,
0.152099609375,
0.11328125,
0.0858154296875,
0.1688232421875,
0.1494140625,
0.28271484375,
0.1030273... | |
4c6498bdeda09cc5fc42d8bbc3590120c301a527 | subsection | 53 | 58 | Authenticated Symmetric Encryption | A symmetric encryption scheme is specified by a pair
(\mathsf {E},\mathsf {D}), where \textsf {E} is the encryption
algorithm and \textsf {D} is the decryption procedure, and a key
space \mathcal {K}(\ell ) where \ell \in \mathbb {N} is a security
parameter. The security of authenticated symmetric encryption is
defined... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
62,
230612,
238,
22,
136791,
1830,
150370,
83,
58735,
297,
390,
80836,
15,
125458,
7,
420,
647,
8152,
4,
41872,
397,
247,
7440,
6,
22829,
70,
234873,
8,
50491,
10,
22799,
32628,
6827,
605,
132,
6796,
1388,
73,
5125,
839,
48031,
171859... | [
0.0814208984375,
0.3447265625,
0.1673583984375,
0.1082763671875,
0.290283203125,
0.1180419921875,
0.2568359375,
0.0899658203125,
0.2275390625,
0.044219970703125,
0.05206298828125,
0.1964111328125,
0.03582763671875,
0.06695556640625,
0.04443359375,
0.17236328125,
0.1278076171875,
0.... | |
dfc75bd742f4676e58e80bbc42a6f44d81e786ec | subsection | 54 | 58 | Proof of Theorem | The proof proceeds with a sequence of two games, in which
S_i denotes the event that the adversary \mathcal {A} wins during Game_i with i \in \lbrace 0,1\rbrace .Game_0: is the FindKey-CCA experiment. The
dishonest PKG \mathcal {A} generates the master public key, chooses an
identity \mathsf {ID} that she wishes to be ... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
581,
98869,
172337,
7,
678,
40,
944,
3956,
6626,
27528,
159,
454,
14,
8,
157,
19732,
64406,
6635,
125458,
6827,
284,
19916,
20271,
13547,
17,
6,
99407,
72966,
107576,
2389,
12,
83,
70,
26040,
162429,
9,
13709,
28007,
5,
45,
61116,
525... | [
0.1033935546875,
0.2734375,
0.14404296875,
0.085205078125,
0.08087158203125,
0.007904052734375,
0.086669921875,
0.02423095703125,
0.135498046875,
0.2008056640625,
0.08544921875,
0.07342529296875,
0.11767578125,
0.1787109375,
0.09368896484375,
0.11865234375,
0.207275390625,
0.146240... | |
266ffffc5d93c50fb8056c3b6d6df4a04fe9f86f | subsection | 55 | 58 | Proof of Theorem | Namely, when queried on a ciphertext C=(C_1,C_2,C_3,C_4), \mathcal {B}
calculates\psi = \frac{e\big (C_1, d_{A,1}^{(1)} \cdot {d_{B,1}^{(1)}}^\kappa \big )}{e\big (C_2,d_{A,2}^{(1)} \cdot {d_{B,2}^{(1)}}^\kappa \big ) \cdot C_3^{{d_{A,3}^{(1)} + \kappa d_{B,3}}^{(1)}}},where \kappa =H(C_1,C_2,C_3), K=KDF(\psi ) and
m=\... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
15757,
3229,
41,
46572,
98,
1059,
94266,
22829,
313,
1369,
441,
115187,
304,
363,
29557,
4,
6,
41872,
125458,
6827,
571,
8152,
74481,
15759,
2203,
132076,
24854,
13,
32976,
15,
104,
284,
418,
8353,
27750,
238,
15464,
10666,
71,
454,
473... | [
0.008453369140625,
0.0667724609375,
0.1259765625,
0.1513671875,
0.0682373046875,
0.084228515625,
0.18115234375,
0.275634765625,
0.1175537109375,
0.02239990234375,
0.059783935546875,
0.1824951171875,
0.062255859375,
0.09088134765625,
0.116455078125,
0.021942138671875,
0.02206420898437... | |
ceb00eae73535f18177ce4d990ea537de2c2ca3b | subsection | 56 | 58 | Proof of Theorem | Hence, the symmetric key
K
that \mathcal {B} calculates is derived from\psi &=& e(g,Y_A^{s_1} \cdot Y_B^{\kappa s_1}) \cdot e(F(\mathsf {ID}),X)^{s_1^{\prime } (r_A+ \kappa r_B)} \cdot e(g,h)^{s_1^{\prime \prime }(t_A^{(1)} + \kappa t_B^{(1)} )}where \kappa =H(C_1,C_2,C_3 ). Upon termination of the key
generation proto... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
6620,
230612,
238,
22799,
341,
125458,
6827,
571,
74481,
1636,
16406,
4126,
1295,
15759,
1369,
1230,
28,
132,
177,
1723,
284,
8353,
24854,
115187,
8152,
6,
41872,
990,
161,
7495,
91,
16,
919,
7,
420,
10666,
7146,
247,
1542,
114654,
5191... | [
0.0182647705078125,
0.2607421875,
0.084716796875,
0.2420654296875,
0.1949462890625,
0.1138916015625,
0.1751708984375,
0.1600341796875,
0.1728515625,
0.003265380859375,
0.08551025390625,
0.03887939453125,
0.006805419921875,
0.2022705078125,
0.0029296875,
0.0285491943359375,
0.10253906... | |
09b9c69e6ef2716e2b5074ca7d78b34ed12bfd90 | subsection | 57 | 58 | Proof of Theorem | Again, one can show that, throughout all queries, the probability of
\mathcal {B} not rejecting a type II ciphertext
is at most q_d \cdot (\mathbf {Adv}^{\textsf {CT-INT}}(\ell ) +
\mathbf {Adv}^{\textsf {KDF}}(\lambda ,\ell ) + q_d/p). Let us call
\texttt {type-2} the latter event. If all invalid ciphertexts
are rejec... | {
"cite_spans": []
} | 0807.1775 | Towards Black-Box Accountable Authority IBE with Short Ciphertexts and
Private Keys | [
"Benoît Libert",
"Damien Vergnaud"
] | [
"cs.CR"
] | 2,008 | en | Computer Science | [
110196,
831,
7639,
87420,
756,
41,
10484,
37242,
2481,
125458,
6827,
571,
959,
456,
75161,
214,
10644,
1995,
1059,
94266,
22829,
83,
99,
2684,
8096,
454,
71,
15464,
150598,
22409,
334,
420,
43379,
9,
59537,
6796,
997,
605,
38997,
6492,
... | [
0.056549072265625,
0.021209716796875,
0.1192626953125,
0.0880126953125,
0.05694580078125,
0.12548828125,
0.1121826171875,
0.250732421875,
0.1641845703125,
0.055023193359375,
0.156005859375,
0.146484375,
0.1533203125,
0.0931396484375,
0.2216796875,
0.09625244140625,
0.171630859375,
... | |
1e454089037b0392d1e4aa5c698cedd1d6487548 | abstract | 0 | 14 | Abstract | In this work we have studied the possibility of obtaining cosmic acceleration
in Brans-Dicke theory with varying or constant $\omega$ (Brans- Dicke
parameter) and with or without self-interacting potential, the background fluid
being barotropic fluid or Generalized Chaplygin Gas. Here we take the power law
form of the ... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
903,
4488,
22282,
207116,
113054,
214,
9545,
21068,
197108,
1830,
21110,
7,
9,
14055,
20013,
154453,
678,
285,
38543,
707,
53697,
306,
2765,
49960,
1779,
67468,
13,
171859,
15490,
15970,
10433,
2263,
38516,
76615,
79552,
8035,
59140,
133141,
... | [
0.013763427734375,
0.058990478515625,
0.1190185546875,
0.1873779296875,
0.134521484375,
0.016510009765625,
0.1402587890625,
0.12841796875,
0.25830078125,
0.1737060546875,
0.1771240234375,
0.0623779296875,
0.0604248046875,
0.1280517578125,
0.235107421875,
0.1934814453125,
0.0053710937... |
a8a1eb6b888441560e9682a149c4dcc5d3221846 | subsection | 1 | 14 | Body | Recent measurements of redshift and luminosity-distance relations
of type Ia Supernovae indicate that the expansion of the Universe
is accelerating [1, 2]. This observation gives rise to the search
for a matter field, which can be responsible for accelerated
expansion. There are several proposals regarding this, Cosmol... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
169549,
72350,
9035,
111,
4842,
3767,
2480,
84901,
2481,
9,
56883,
329,
91582,
10644,
12044,
4265,
10167,
13,
117414,
14700,
66,
6889,
70,
153543,
83,
197108,
214,
116,
150556,
76199,
6,
58944,
47,
33938,
100,
26866,
44457,
4,
831,
186,
... | [
0.07513427734375,
0.16845703125,
0.03582763671875,
0.037994384765625,
0.09375,
0.166748046875,
0.10638427734375,
0.1146240234375,
0.0171966552734375,
0.08843994140625,
0.1280517578125,
0.03790283203125,
0.18310546875,
0.1431884765625,
0.17236328125,
0.1112060546875,
0.20263671875,
... |
46ac2e88663bd24f8ef89c6d5447aa0cd953b457 | subsection | 2 | 14 | Body | We have taken some particular values of the
constants for the graphical representations of V and \omega
against the variation of the scalar field \phi . We have
discussed the results obtained in section V.The self-interacting Brans-Dicke theory is described by the
action: (choosing 8\pi G_{0}=c=1)S=\int d^{4} x \sqrt{... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
39958,
17311,
142424,
53697,
7,
48461,
289,
18811,
310,
136,
306,
2765,
26548,
143834,
146232,
42,
44457,
19379,
45252,
50339,
113054,
40059,
15970,
10433,
2263,
1916,
21110,
9,
14055,
20013,
154453,
151552,
390,
22631,
3089,
232,
382,
1434,
... | [
0.009552001953125,
0.0350341796875,
0.109619140625,
0.204833984375,
0.1058349609375,
0.1636962890625,
0.008026123046875,
0.1270751953125,
0.182861328125,
0.0235748291015625,
0.065673828125,
0.1978759765625,
0.1072998046875,
0.238037109375,
0.1641845703125,
0.087158203125,
0.176391601... |
0ccf6cd7e789e7d2ac6fd8eaa6e2a968d7f05426 | subsection | 3 | 14 | Body | The matter content
of the Universe is composed of perfect fluid,T_{\mu \nu }=(\rho +p)u_{\mu } u_{\nu }+p~g_{\mu \nu }where u_{\mu }~u^{\nu }=-1 and \rho ,~p are respectively energy
density and isotropic pressure.From the Lagrangian density (1) we obtain the field equationsG_{\mu \nu }=\frac{\omega (\phi )}{{\phi }^{2}... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
581,
26866,
10941,
111,
70,
153543,
83,
150350,
71,
15787,
79552,
618,
24854,
561,
6,
539,
51912,
1369,
132,
41872,
497,
997,
254,
16,
34,
454,
75,
1328,
177,
136913,
8353,
5759,
136,
42,
4,
2306,
621,
107013,
538,
48302,
168,
7,
24... | [
0.104248046875,
0.299072265625,
0.29296875,
0.1337890625,
0.119873046875,
0.292236328125,
0.1229248046875,
0.207763671875,
0.119873046875,
0.22900390625,
0.28662109375,
0.0958251953125,
0.028411865234375,
0.21484375,
0.0279541015625,
0.117431640625,
0.028167724609375,
0.02807617187... |
326dab5540d4790ef874fc157178bd73f0485699 | subsection | 4 | 14 | Body | For k=0,
the field equations yield\left[2-3\alpha (\gamma +1)\right]\left[2(2\alpha -1)+\omega (\gamma -1)\lbrace 2-3\alpha (\gamma +1)\rbrace \right]=0From equation (16) we have two possible solutions for \alpha :\alpha =\frac{2}{3(\gamma +1)} for -1<\gamma < -\frac{1}{3}and
\alpha =\frac{2\left[1+\omega (1-\gamm... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
1326,
472,
145407,
44457,
28,
13722,
5256,
11180,
19388,
102038,
289,
14612,
15,
17705,
192,
57157,
16,
41872,
54969,
268,
133,
2480,
304,
54753,
6,
110218,
1328,
306,
2765,
99407,
10994,
5490,
2320,
40893,
6626,
7722,
51347,
100,
2203,
1... | [
0.08514404296875,
0.1556396484375,
0.25634765625,
0.23388671875,
0.06378173828125,
0.223388671875,
0.0992431640625,
0.142822265625,
0.2159423828125,
0.150146484375,
0.128662109375,
0.270751953125,
0.0171051025390625,
0.1328125,
0.0885009765625,
0.135009765625,
0.0172119140625,
0.06... |
2252329a308642c3f5bb90e2f0594f1ea3a380fb | subsection | 5 | 14 | Body | For closed model of the Universe, i.e., for k=1 we can
explain cosmic acceleration for the radiation phase only and for
that \beta =-2\alpha giving \beta <-2 and 6\phi _{0}
{a_{0}}^{2}=\rho _{0}, whereas we do not get any such possibility
for the open model of the Universe.Now preferably taking into account the recent ... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
1326,
155738,
3299,
111,
153543,
472,
33000,
831,
73342,
9545,
21068,
197108,
1830,
4567,
2320,
93402,
4734,
59865,
5428,
289,
14612,
68772,
136,
305,
19379,
2389,
11,
304,
497,
959,
2046,
207116,
9803,
12601,
17309,
72350,
9035,
39563,
498... | [
0.0143585205078125,
0.2027587890625,
0.262939453125,
0.054443359375,
0.23193359375,
0.1331787109375,
0.1441650390625,
0.0166778564453125,
0.1810302734375,
0.128662109375,
0.1181640625,
0.234130859375,
0.108154296875,
0.198974609375,
0.0849609375,
0.1436767578125,
0.03863525390625,
... |
f5dd0a72f8f1665ca31de52d5c3b5b42c0906fc2 | subsection | 6 | 14 | Body | Also if \beta <-2 cosmic
acceleration is followed by a deceleration phase as \alpha <
1 for \gamma <\frac{1}{3}.
[Figure: NO_CAPTION]Case I:Let us choose \omega (\phi )=\omega =constant.In this case instead of considering equations (12) and (17) we
consider only one power law form\phi =\phi _{0} a^{\alpha }Using equati... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
22376,
2174,
41872,
59865,
4426,
5428,
9545,
21068,
197108,
1830,
83,
134629,
10,
8,
123079,
2320,
93402,
237,
6,
289,
14612,
106,
100,
17705,
192,
132076,
418,
8152,
24854,
363,
6795,
13,
9520,
6991,
87,
55076,
306,
2765,
19379,
1388,
... | [
0.0992431640625,
0.124755859375,
0.04058837890625,
0.26904296875,
0.1456298828125,
0.2203369140625,
0.14404296875,
0.1644287109375,
0.2666015625,
0.1595458984375,
0.04913330078125,
0.1636962890625,
0.048583984375,
0.213623046875,
0.300537109375,
0.1363525390625,
0.1968994140625,
0.... |
328dc5cff6c60acabc0111c396cce91dad294a0f | subsection | 7 | 14 | Body | Again we
consider the power law forms, (12) and (17). | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
110196,
642,
16916,
70,
14537,
27165,
3173,
7,
4,
23676,
136,
43956,
5
] | [
0.1632080078125,
0.0849609375,
0.1575927734375,
0.050537109375,
0.255859375,
0.2073974609375,
0.248046875,
0.1097412109375,
0.051483154296875,
0.2235107421875,
0.123779296875,
0.2294921875,
0.042266845703125
] |
defbb11014d2619f1e9c70534f341fffa739bd67 | subsection | 8 | 14 | Body | Solving the
equations in a similar manner, we get\omega =\frac{\alpha \beta +2\alpha +\beta -\beta ^{2}}{\beta ^{2}}-\frac{1+\gamma }{\beta ^{2}} \rho _{0} {a_{0}}^{-3(1+\gamma )}
{\phi _{0}}^{\frac{3\alpha (\gamma +1)-2}{\beta }}
\phi ^{-\frac{3\alpha (\gamma +1)+\beta -2}{\beta }}+\frac{2k}{{a_{0}}^{2}
\beta ^{2} {\p... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
6678,
6496,
28,
13722,
5256,
21373,
144996,
642,
2046,
41872,
306,
2765,
2203,
132076,
289,
14612,
6,
59865,
94369,
997,
13331,
24854,
304,
47391,
9,
1328,
17705,
192,
51912,
42,
497,
2389,
8152,
10666,
11,
8353,
8316,
41600,
1388,
19379,... | [
0.1400146484375,
0.00732421875,
0.0772705078125,
0.227294921875,
0.1171875,
0.12255859375,
0.0214080810546875,
0.027923583984375,
0.091796875,
0.0251922607421875,
0.1201171875,
0.279296875,
0.06805419921875,
0.201416015625,
0.03326416015625,
0.2095947265625,
0.0170135498046875,
0.2... |
3914a7b48a61b506ac0fabffd139d75672a28cff | subsection | 9 | 14 | Body | Multiplying both sides of equation (31)
by a^{P} after squaring it, we get K_{0}=0, therefore giving,
a=\sqrt{\frac{6k}{(\omega \alpha -3)P}}t.Hence for flat Universe, we get, a=constant.For open model, we must have \omega \alpha <3 and
a=\sqrt{\frac{6}{(3-\omega \alpha )P}}t, whereas, for closed
model, \omega \alpha >... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
19335,
62479,
15044,
5609,
28,
5490,
2320,
91902,
390,
10,
683,
94727,
2046,
341,
2389,
145407,
68772,
864,
3198,
132076,
910,
92,
306,
2765,
14612,
21320,
18,
100,
49878,
153543,
1369,
2271,
42539,
9803,
3299,
8110,
765,
21670,
86827,
15... | [
0.103515625,
0.1107177734375,
0.076904296875,
0.119384765625,
0.025726318359375,
0.2183837890625,
0.01312255859375,
0.160400390625,
0.006072998046875,
0.1484375,
0.062347412109375,
0.183837890625,
0.06170654296875,
0.0830078125,
0.1376953125,
0.1943359375,
0.0215606689453125,
0.132... |
763ef8b95b088887a1ddf8c4d6901704223a729d | subsection | 10 | 14 | Body | We get
the solution for V(\phi ) to beV(\phi )=(2\alpha +\beta )(3\alpha +2\beta -1)
{\phi _{0}}^{\frac{2}{\beta }}
\phi ^{\frac{\beta -2}{\beta }}+\frac{-2B-C{a_{0}}^{-3(1+n)}
{\phi _{0}}^{\frac{3\alpha (1+n)}{\beta }}\phi ^{\frac{-3\alpha (1+n)}{\beta }}}{\left[B
+
C{a_{0}}^{-3(1+n)}{\phi _{0}}^{\frac{3\alpha (1+n)}{... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
2046,
29806,
100,
310,
19379,
47,
186,
856,
1369,
54753,
289,
14612,
997,
59865,
86827,
94369,
110218,
2389,
132076,
571,
8316,
1328,
19,
617,
13480,
142424,
13722,
653,
5759,
5490,
11341,
9082,
29367,
85853,
41793,
73,
27967,
3173,
59140,
... | [
0.03985595703125,
0.2237548828125,
0.003204345703125,
0.281005859375,
0.297607421875,
0.0645751953125,
0.192626953125,
0.308837890625,
0.0254058837890625,
0.03253173828125,
0.0200653076171875,
0.169189453125,
0.0330810546875,
0.2254638671875,
0.0694580078125,
0.0718994140625,
0.08752... |
fbedacda9497098974fa4135245b6162401ce777 | subsection | 11 | 14 | Body | Solving
the equations we get the solutions for Brans-Dicke parameter and
self-interacting potential as same as equations (32) and (33)
respectively.Substituting these values in equation (8), we get\text{e}ither~~~~ \beta =-2 ~~~~~\text{o}r ~~~~\beta =-2\alphaTherefore for cosmic acceleration q<0\Rightarrow \alpha >1 an... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
6678,
6496,
28,
13722,
5256,
2046,
51347,
21110,
7,
9,
14055,
20013,
171859,
15970,
10433,
2263,
1916,
38516,
5701,
90010,
105735,
538,
96472,
13480,
142424,
23,
5490,
2320,
10021,
22829,
24854,
8152,
14,
9319,
71060,
6,
59865,
2203,
5428,
... | [
0.12109375,
0.00225830078125,
0.0135498046875,
0.1788330078125,
0.038238525390625,
0.0302581787109375,
0.1856689453125,
0.219970703125,
0.085693359375,
0.02056884765625,
0.1640625,
0.2347412109375,
0.2236328125,
0.16162109375,
0.122802734375,
0.09686279296875,
0.0340576171875,
0.24... |
12a8cd601544b0c70910498b846e92b2154e8606 | subsection | 12 | 14 | Body | For \alpha >1, we have accelerated
expansion. The figure shows that the greatest value of \omega
can be -\frac{3}{2} and it decreases further as \phi
increases, (iii) for V=V(\phi ) and \omega =constant, we get
acceleration in the flat model irrespective of the values of
\alpha , (iv) for V=V(\phi ) and \omega =\omeg... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
1326,
6,
41872,
289,
14612,
977,
418,
642,
765,
197108,
297,
14700,
66,
6889,
26366,
45831,
70,
158036,
34292,
306,
2765,
831,
186,
20,
132076,
363,
8152,
24854,
304,
136,
442,
227204,
7,
53333,
237,
19379,
51312,
15,
1573,
16,
310,
1... | [
0.0287628173828125,
0.044342041015625,
0.0271148681640625,
0.06439208984375,
0.2320556640625,
0.0999755859375,
0.041046142578125,
0.022064208984375,
0.046478271484375,
0.2452392578125,
0.1268310546875,
0.0823974609375,
0.1451416015625,
0.07623291015625,
0.1527099609375,
0.0258941650390... |
d0edd84a307339ac480f69dfb19ccb283ae0ca97 | subsection | 13 | 14 | Body | Although the problem of fitting the value of
\omega to the limits imposed by the solar system experiments
could not be solved fully, for closed Universe and \beta =-2 and
\alpha >1, \omega starting from -\frac{3}{2} increases and
for large \phi , we get \omega >500, for both barotropic fluid
and Generalized Chaplygin G... | {
"cite_spans": []
} | 10.1007/s10773-008-9798-7 | 0807.1776 | Role of Brans-Dicke Theory with or without self-interacting potential in
cosmic acceleration | [
"Writambhara Chakraborty",
"Ujjal Debnath"
] | [
"gr-qc"
] | 2,008 | en | Physics | [
106073,
70,
2967,
809,
19514,
34292,
111,
6,
41872,
306,
2765,
47,
17475,
7,
566,
144429,
38549,
5426,
28007,
5809,
959,
186,
86869,
71,
89554,
100,
155738,
153543,
136,
59865,
2203,
5428,
289,
14612,
977,
418,
4,
72134,
1295,
20,
13207... | [
0.06640625,
0.049560546875,
0.196533203125,
0.184814453125,
0.00018310546875,
0.1715087890625,
0.030975341796875,
0.0303955078125,
0.0887451171875,
0.1451416015625,
0.24560546875,
0.08447265625,
0.218017578125,
0.0836181640625,
0.0947265625,
0.018310546875,
0.178466796875,
0.148803... |
962f9bc438adc94fcdb8166e02f2e87ebbe5b0bc | abstract | 0 | 7 | Abstract | We investigate an $N$-particle Bose-Hubbard dimer with an additional
effective decay term in one of the sites. A mean-field approximation for this
non-Hermitian many-particle system is derived, based on a coherent state
approximation. The resulting nonlinear, non-Hermitian two-level dynamics, in
particular the fixed po... | {
"cite_spans": []
} | 10.1103/PhysRevLett.101.150408 | 0807.1777 | Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer | [
"E. M. Graefe",
"H. J. Korsch",
"A. E. Niederle"
] | [
"quant-ph",
"cond-mat.other"
] | 2,008 | en | Physics | [
32603,
839,
254,
26147,
26854,
13,
140505,
1299,
71,
45,
1991,
78301,
60266,
8,
408,
53,
13579,
1632,
15271,
29459,
28394,
35707,
53950,
351,
25178,
80611,
66,
5941,
5426,
16406,
241463,
11341,
2256,
147,
6626,
67919,
84079,
188347,
6275,
... | [
0.10589599609375,
0.10400390625,
0.06329345703125,
0.1717529296875,
0.1231689453125,
0.1488037109375,
0.0726318359375,
0.16845703125,
0.0892333984375,
0.167236328125,
0.2099609375,
0.093994140625,
0.1246337890625,
0.109619140625,
0.11669921875,
0.059356689453125,
0.1297607421875,
0... |
1cf55a55feca3f69b6a1655878e9de807d6704d8 | subsection | 1 | 7 | Body | .eps
[]Mean-field dynamics of a non-hermitian Bose-Hubbard dimer
E. M. Graefe{}^1
H. J. Korsch{}^1
A. E. Niederle{}^{1,2}
{}^1 FB Physik, TU Kaiserslautern, D–67653 Kaiserslautern, Germany{}^2 Theoretical Physics, Saarland University, D–66041 Saarbr�cken, GermanyWe investigate an N-particle Bose-Hubbard dime... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1394,
"openalex_id": "",
"raw": "A. Vardi and J. R. Anglin, Phys. Rev. Lett. 86 (2001) 568; J. R. Anglin and A. Vardi, Phys. Rev. A 64 (2001) 013605; L. Benet, C. Jung, and F. Leyvraz J. Phys. A 36 (2003) L217",
"source_ref_... | 10.1103/PhysRevLett.101.150408 | 0807.1777 | Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer | [
"E. M. Graefe",
"H. J. Korsch",
"A. E. Niederle"
] | [
"quant-ph",
"cond-mat.other"
] | 2,008 | en | Physics | [
6,
5,
4517,
7,
6696,
66,
28394,
84079,
351,
9,
3334,
80611,
26854,
13,
140505,
1299,
71,
45,
1991,
2242,
8152,
3970,
3232,
24854,
8353,
418,
82237,
133,
10666,
36718,
237603,
16512,
138789,
17697,
22766,
4,
102126,
304,
19635,
70760,
16... | [
0.00872802734375,
0.01336669921875,
0.055023193359375,
0.015289306640625,
0.1002197265625,
0.1510009765625,
0.264404296875,
0.24658203125,
0.16650390625,
0.01556396484375,
0.1475830078125,
0.188720703125,
0.1375732421875,
0.14453125,
0.1279296875,
0.1885986328125,
0.095947265625,
0... |
cd337b63a87b2f1d78df7b4dc7ceec0094ef86b6 | subsection | 2 | 7 | Body | A direct experimental realization could be achieved
by tunneling escape of atoms from one of the wells. Even in the
non-hermitian case, the Hamiltonian commutes with the total number
operator \hat{N}=\hat{a}_1^\dagger \hat{a}_1 + \hat{a}_2^\dagger \hat{a}_2 and the number N of particles is conserved. The “decay”
descri... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 606,
"openalex_id": "",
"raw": "M. Hiller, T. Kottos, and A. Ossipov, Phys. Rev. A 73 (2006) 063625",
"source_ref_id": "fb7790ebf04acac1303da28f15c9373c7f183980",
"start": 443
},
{
"arxiv_id": "",
"... | 10.1103/PhysRevLett.101.150408 | 0807.1777 | Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer | [
"E. M. Graefe",
"H. J. Korsch",
"A. E. Niederle"
] | [
"quant-ph",
"cond-mat.other"
] | 2,008 | en | Physics | [
8951,
195935,
25558,
1363,
5809,
186,
69307,
71,
390,
80208,
214,
144281,
111,
34627,
1295,
1632,
70,
5299,
7,
23,
351,
3334,
80611,
66,
7225,
4,
94674,
3378,
375,
561,
1636,
678,
3622,
14012,
39933,
6,
2943,
839,
8152,
1369,
41872,
1... | [
0.17431640625,
0.205810546875,
0.18603515625,
0.011932373046875,
0.08441162109375,
0.0118408203125,
0.1171875,
0.011962890625,
0.004974365234375,
0.1668701171875,
0.009857177734375,
0.1748046875,
0.012908935546875,
0.17333984375,
0.0753173828125,
0.043060302734375,
0.011962890625,
... |
6307cd3e9b156309b7f7a45076176a09bfafa975 | subsection | 3 | 7 | Body | Matrix elements of an operator \hat{A} without
explicit time-dependence satisfy the generalized Heisenberg
equation, which in our case becomeswhere [\cdots ]_{\scriptscriptstyle +} is the anti-commutator. As an
immediate consequence of the non-hermiticity, the norm of the
quantum state is not conserved, \hbar \frac{{ \... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1522,
"openalex_id": "",
"raw": "W.-M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. 62 (1990) 867",
"source_ref_id": "e3d24c2e98778fe892e17967d16975b888800fac",
"start": 1288
}
]
} | 10.1103/PhysRevLett.101.150408 | 0807.1777 | Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer | [
"E. M. Graefe",
"H. J. Korsch",
"A. E. Niederle"
] | [
"quant-ph",
"cond-mat.other"
] | 2,008 | en | Physics | [
194234,
80854,
39933,
2943,
284,
15490,
143726,
1733,
215131,
40407,
4537,
29367,
19614,
7,
48467,
28,
5490,
2320,
4,
23,
24209,
41872,
238,
15464,
10114,
454,
24854,
32032,
40946,
997,
8152,
2874,
277,
68754,
748,
142,
168894,
179804,
6620... | [
0.197998046875,
0.1627197265625,
0.2362060546875,
0.1612548828125,
0.1104736328125,
0.0775146484375,
0.03143310546875,
0.1815185546875,
0.150146484375,
0.1134033203125,
0.111328125,
0.03338623046875,
0.12060546875,
0.02447509765625,
0.27685546875,
0.079345703125,
0.1767578125,
0.01... |
40b9963e3c16c1e4f2df06f331b301ce9c432a4d | subsection | 4 | 7 | Body | Most
interestingly, these equations are canonical, { i }\dot{x}_j=\partial H/\partial x_j^*, { i }\dot{x}_j^*=-\partial H^*/\partial x_j, j=1,2, where the Hamiltonian function is
related to the expectation value of the Hamiltonian \hat{\cal H}:
H(x_1,x_1^*,x_2,x_2^*)=\langle \hat{\cal H} \rangle n/N and can be
convenie... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 740,
"openalex_id": "",
"raw": "H. Schanz, I. Barvig, and B. Esser, Phys. Rev. B 55 (1997) 11308",
"source_ref_id": "ae90b4e86ad5957fd073223711d9e8f700f98aac",
"start": 524
},
{
"arxiv_id": "",
"doi... | 10.1103/PhysRevLett.101.150408 | 0807.1777 | Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer | [
"E. M. Graefe",
"H. J. Korsch",
"A. E. Niederle"
] | [
"quant-ph",
"cond-mat.other"
] | 2,008 | en | Physics | [
49041,
6097,
28,
13722,
5256,
621,
74413,
21533,
17,
15464,
425,
170,
15866,
572,
1022,
1647,
133063,
94674,
3378,
32354,
62548,
41206,
34292,
2943,
115187,
3066,
5445,
831,
142267,
5429,
102134,
15759,
59865,
169429,
3622,
93402,
126596,
161... | [
0.11767578125,
0.0821533203125,
0.07666015625,
0.244384765625,
0.090576171875,
0.045257568359375,
0.1795654296875,
0.1885986328125,
0.0484619140625,
0.12548828125,
0.0237884521484375,
0.16162109375,
0.1304931640625,
0.162841796875,
0.03759765625,
0.1431884765625,
0.1328125,
0.20104... |
53e4095f23dd0d90f4e541ee885b8267110e82bf | subsection | 5 | 7 | Body | For g=0, we observe a
non-generic bifurcation at \gamma =\pm J (an exceptional point
) where the two centers meet and simultaneously change
into a sink and a source.
[Figure: (Color online) Decay of the survival probability (full black curve) and the populations of site 1 (dashed red curve) and 2 (dotted blue curve) fo... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 165,
"openalex_id": "",
"raw": "E. M. Graefe et al., J. Phys. A 41 (2008) 255206",
"source_ref_id": "98948363433ac534c47a453308a5212bd6b22a8b",
"start": 0
},
{
"arxiv_id": "",
"doi": "",
"end"... | 10.1103/PhysRevLett.101.150408 | 0807.1777 | Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer | [
"E. M. Graefe",
"H. J. Korsch",
"A. E. Niederle"
] | [
"quant-ph",
"cond-mat.other"
] | 2,008 | en | Physics | [
1326,
706,
145407,
139999,
351,
79446,
1771,
333,
11443,
120639,
99,
6,
17705,
192,
26822,
821,
210650,
6275,
1388,
70,
6626,
27585,
7,
23356,
136,
13,
79850,
15549,
3934,
880,
92,
10,
31344,
6795,
15,
25755,
3337,
218018,
37242,
2481,
... | [
0.02679443359375,
0.121337890625,
0.190185546875,
0.155517578125,
0.122314453125,
0.092041015625,
0.0162811279296875,
0.10552978515625,
0.18505859375,
0.1181640625,
0.0197906494140625,
0.01666259765625,
0.1473388671875,
0.0740966796875,
0.10186767578125,
0.1463623046875,
0.1710205078... |
3244cae0998a5ec7c04bef956cfb6d7fed2aeb00 | subsection | 6 | 7 | Body | This picture is
confirmed by the populations \langle \psi |\hat{a}_1^\dagger \hat{a}_1|\psi \rangle /N and \langle \psi | \hat{a}_2^\dagger \hat{a}_2|\psi \rangle /N of the two sites also shown in the figure. These
quantities agree with their mean-field counterparts
(1/2+s_z)n^N/2 and (1/2-s_z)n^N/2 on the scale of dra... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1157,
"openalex_id": "",
"raw": "F. Trimborn, D. Witthaut, and H. J. Korsch, Phys. Rev. A 77 (2008) 043631; Phys.Rev.A, submitted (e–print arXiv: 0802.3164)",
"source_ref_id": "084e826eb8b5320e0311eb14446d5c8ad0925c66",
... | 10.1103/PhysRevLett.101.150408 | 0807.1777 | Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer | [
"E. M. Graefe",
"H. J. Korsch",
"A. E. Niederle"
] | [
"quant-ph",
"cond-mat.other"
] | 2,008 | en | Physics | [
49726,
39563,
297,
43904,
6,
3066,
15759,
41872,
2943,
24854,
8152,
85,
21407,
115187,
58745,
5445,
133,
839,
454,
11,
111,
70,
6626,
15271,
127887,
23,
26366,
102134,
2449,
53520,
678,
29459,
9,
28394,
105416,
17365,
7,
118551,
1328,
169... | [
0.1053466796875,
0.139892578125,
0.0108642578125,
0.1690673828125,
0.01104736328125,
0.1226806640625,
0.1434326171875,
0.011077880859375,
0.107177734375,
0.0113525390625,
0.011199951171875,
0.0345458984375,
0.125732421875,
0.006866455078125,
0.01104736328125,
0.07159423828125,
0.0109... |
ab646d622e7ba65a77bf32a3d30670e1f8ba1923 | abstract | 0 | 8 | Abstract | We investigated the electronic and magnetic properties of a series of
zinc-blend II-V compounds by carrying out density-functional-theory
calculations including spin-orbit couplings. Contrary to the case of CaN and
CaP, the half-metallic characteristics of the II-V compounds such as CaSb and
CaBi were found to be destr... | {
"cite_spans": []
} | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
32603,
65133,
136,
214706,
183871,
36549,
97,
38893,
2661,
2208,
1995,
9,
856,
217773,
168,
7,
137175,
2347,
30675,
74481,
25927,
748,
3137,
14974,
33992,
45380,
2041,
839,
683,
70,
23552,
185790,
1771,
62816,
48242,
294,
275,
16882,
14037,... | [
0.1011962890625,
0.1331787109375,
0.0596923828125,
0.136962890625,
0.14794921875,
0.0275726318359375,
0.1265869140625,
0.183837890625,
0.154052734375,
0.092529296875,
0.1512451171875,
0.02105712890625,
0.2401123046875,
0.2169189453125,
0.1448974609375,
0.0350341796875,
0.1220703125,
... |
48ee97badf8bc7a929bb7087cb3e2cc330ef29bf | subsection | 1 | 8 | Body | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compoundsYun Li
Jaejun Yu
[Corresponding author. Electronic address: ]jyu@snu.ac.kr
FPRD and Center for Theoretical Physics, Department of
Physics and Astronomy, Seoul National University, Seoul 151-747, KoreaWe investigated the electronic and magnetic prope... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1277,
"openalex_id": "",
"raw": "R.A. de Groot, F.M. Mueller, P.G. van Engen, and K.H.J. Buschow, Phys. Rev. Lett. 50, 2024 (1983).",
"source_ref_id": "7aec5a156659c3e28828e5eac892e9a50a325b70",
"start": 1139
},
... | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
131904,
34695,
23552,
185790,
1771,
78874,
155116,
8780,
23,
97,
38893,
2661,
1067,
1995,
9,
856,
217773,
309,
1261,
823,
17043,
15127,
50886,
107,
18908,
6238,
42179,
87673,
29823,
48317,
34,
7,
539,
5,
2263,
6,
51006,
40756,
136,
11588,... | [
0.13037109375,
0.079345703125,
0.2227783203125,
0.261474609375,
0.07562255859375,
0.1611328125,
0.2432861328125,
0.09930419921875,
0.0296478271484375,
0.120849609375,
0.1727294921875,
0.185302734375,
0.159912109375,
0.174072265625,
0.0296478271484375,
0.23388671875,
0.2369384765625,
... |
0090cd2b844d523c1e5a052477876f270a60fe57 | subsection | 2 | 8 | Body | The narrow p band contributes to the exchange
energy splitting close to 0.5 eV, consequently leading to an insulating
gap in the majority spin channel and a metallic state in the minority spin
channel.However, since the p states of the heavy elements like Sb and Bi are
affected by the relativistic spin-orbit coupling (... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 2096,
"openalex_id": "",
"raw": "M. Sieberer, J. Redinger, S. Khmelevskyi, and P. Mohn, Phys. Rev. B 73, 024404 (2006).",
"source_ref_id": "7c9b3d4d33bb5f8eaef28464deae1acc07df80e6",
"start": 2020
},
{
"a... | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
653,
118201,
915,
8753,
162466,
7,
47,
70,
121122,
48302,
65450,
1916,
20903,
81730,
856,
4,
210435,
538,
105207,
142,
125001,
43599,
23,
144732,
25927,
86723,
10,
99665,
238,
11341,
66320,
939,
81826,
30441,
117249,
99162,
80854,
1884,
159... | [
0.018280029296875,
0.2186279296875,
0.156982421875,
0.2174072265625,
0.1541748046875,
0.045074462890625,
0.0115966796875,
0.01165771484375,
0.2236328125,
0.189697265625,
0.1605224609375,
0.041351318359375,
0.067138671875,
0.15966796875,
0.266357421875,
0.01190185546875,
0.01524353027... |
79a0d2915f3292b6b9ac6acdebcfebfaeb3cd81e | subsection | 3 | 8 | Body | The real space grid techniques were used with the
energy cutoff of 300 Ry in numerical integrations and the solution of the
Poisson equation using fast Fourier transformations. For the formula cell
containing two atoms, (16\times 16\times 16) k-grid was sampled
over the full Brillouin zone. To compare the stability of ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 2733,
"openalex_id": "",
"raw": "M. Sieberer, J. Redinger, S. Khmelevskyi, and P. Mohn, Phys. Rev. B 73, 024404 (2006).",
"source_ref_id": "7c9b3d4d33bb5f8eaef28464deae1acc07df80e6",
"start": 2599
}
]
} | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
2773,
32628,
6,
120067,
53088,
11814,
678,
70,
48302,
59226,
16713,
2668,
12563,
23,
54744,
6827,
157353,
7,
29806,
111,
64249,
1681,
28,
5490,
2320,
17368,
4271,
65056,
6815,
167201,
26168,
38750,
70541,
214,
6626,
34627,
4,
23175,
41872,
... | [
0.18115234375,
0.1793212890625,
0.013092041015625,
0.2457275390625,
0.1954345703125,
0.1129150390625,
0.0189971923828125,
0.01318359375,
0.177978515625,
0.10614013671875,
0.12255859375,
0.1868896484375,
0.1298828125,
0.0130615234375,
0.1153564453125,
0.013275146484375,
0.176025390625... |
93c5642002f92cc093d351eedad95e1abed75eb2 | subsection | 4 | 8 | Body | In fact, the flatness of the p bands are more
pronounced in the “SOC off” band structures of CaX (X=As, Sb, and
Bi) than those of CaN and CaP.
[Figure: “SOC off” and “SOC on” band structures ofCaAs.][Figure: “SOC off” and “SOC on” band structures ofCaSb][Figure: “SOC off” and “SOC on” band structures ofCaBi.]The nature... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 422,
"openalex_id": "",
"raw": "M. Sieberer, J. Redinger, S. Khmelevskyi, and P. Mohn, Phys. Rev. B 73, 024404 (2006).",
"source_ref_id": "7c9b3d4d33bb5f8eaef28464deae1acc07df80e6",
"start": 310
}
]
} | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
15824,
4,
49878,
7432,
915,
8753,
7,
1286,
97160,
309,
37534,
13055,
441,
5773,
63,
45646,
2041,
1542,
1369,
19659,
159,
275,
136,
1843,
16,
3501,
839,
683,
6159,
6795,
13,
52,
98,
111,
20370,
5,
12,
294,
29839,
16882,
31425,
23,
28... | [
0.0172271728515625,
0.0133056640625,
0.27587890625,
0.1435546875,
0.18359375,
0.2347412109375,
0.022430419921875,
0.081298828125,
0.0782470703125,
0.01153564453125,
0.012908935546875,
0.124267578125,
0.112548828125,
0.2366943359375,
0.013092041015625,
0.2115478515625,
0.1787109375,
... |
aa3367559c629b765e0005ee4a6eb3ae323a3373 | subsection | 5 | 8 | Body | When SOC is turned on, contrary to the robust HMF
band structures of CaN and CaP, the electronic structures of CaX
(X=As, Sb, and Bi) change remarkably. Despite that the “SOC off”
valence bands of all the CaX (X=As, Sb, and Bi) compounds are almost
identical as shown in Fig. REF –REF , the band
dispersion and spin char... | {
"cite_spans": []
} | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
14847,
159,
29065,
83,
69347,
98,
4,
2304,
47,
70,
60627,
572,
65692,
8753,
45646,
7,
2041,
839,
136,
683,
65133,
111,
1542,
1369,
19659,
275,
1843,
16,
15549,
456,
10015,
78458,
262,
61518,
52,
13055,
441,
5773,
63,
3502,
6620,
756,
... | [
0.08502197265625,
0.14599609375,
0.28857421875,
0.06500244140625,
0.1488037109375,
0.2095947265625,
0.0276031494140625,
0.057403564453125,
0.027618408203125,
0.0276031494140625,
0.142333984375,
0.0626220703125,
0.1912841796875,
0.2099609375,
0.2308349609375,
0.027587890625,
0.1755371... |
1e07d350318cede0a8ef456b8450ae22538c3e5e | subsection | 6 | 8 | Body | The mixed spin-components in the valence bands are
clearly shown in the spin-resolved band structures of
Fig. REF (b) and Fig. REF (b). As the SOC strength
increases, some of the non-collinear band states have a strong mixture of
spin-up and down components.The “SOC on” band structures of CaX (X=N, P, As, Sb, and Bi)
s... | {
"cite_spans": []
} | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
17664,
297,
25927,
277,
54137,
3502,
6620,
8753,
7,
123019,
127887,
70,
107,
86918,
71,
45646,
119895,
9069,
919,
15,
275,
16,
5,
1301,
159,
29065,
90254,
51312,
4,
3060,
351,
62378,
86,
147,
117249,
10,
37515,
6644,
111,
2037,
136,
7... | [
0.2174072265625,
0.07275390625,
0.2122802734375,
0.0740966796875,
0.1737060546875,
0.22216796875,
0.1885986328125,
0.2314453125,
0.05712890625,
0.07623291015625,
0.09375,
0.029937744140625,
0.010650634765625,
0.1558837890625,
0.0292205810546875,
0.237548828125,
0.150390625,
0.04400... |
4171d558adccf7e1051c6a67707afb998ab562b8 | subsection | 7 | 8 | Body | Due to the strong
contribution of \Delta E_{so}, the spin-flip term
(L_{+}S_{-}\!+\!L_{-}S_{+}) in the SOC term of \mathcal {H}_{so} =
\lambda _{so} \mathbf {L}\cdot \mathbf {S} acts as a perturbation to the
exchange-split states.In conclusion, we have shown that the half-metallic ferromagnetism in ZB
II-V compounds ca... | {
"cite_spans": []
} | 10.1103/PhysRevB.78.165203 | 0807.1778 | Breakdown of half-metallic ferromagnetism in zinc-blende II-V compounds | [
"Yun Li",
"Jaejun Yu"
] | [
"cond-mat.mtrl-sci"
] | 2,008 | en | Physics | [
37515,
127752,
58598,
102,
241,
991,
25927,
9,
420,
21392,
13579,
866,
24854,
1328,
8152,
294,
454,
41872,
38,
16,
159,
29065,
6,
125458,
6827,
841,
2203,
6492,
85,
150598,
10666,
238,
15464,
27992,
7,
10,
170950,
1363,
47,
121122,
7008... | [
0.0975341796875,
0.1290283203125,
0.1468505859375,
0.12744140625,
0.1226806640625,
0.1866455078125,
0.2244873046875,
0.0149078369140625,
0.1334228515625,
0.22216796875,
0.18212890625,
0.0660400390625,
0.0151824951171875,
0.1510009765625,
0.01531982421875,
0.0914306640625,
0.015701293... |
6246ed3c90132276954946c8f31d928ef29c4fec | abstract | 0 | 12 | Abstract | How out-of-plane disorder affects the electronic structure has been
investigated for the single-layer cuprates
Bi$_2$Sr$_{1.6}$$Ln$$_{0.4}$CuO$_{6+\delta}$ ($Ln$ = La, Nd, Gd) by
angle-resolved photoemission spectroscopy. We have observed that, with
increasing disorder, while the Fermi surface shape and band dispersion... | {
"cite_spans": []
} | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
11249,
1810,
4390,
5868,
13,
171986,
52490,
7,
65133,
45646,
32603,
3674,
100,
11001,
5259,
56,
314,
32246,
90,
1843,
304,
42,
122336,
866,
19,
121254,
33177,
670,
910,
1328,
1743,
102,
239,
55291,
86918,
16186,
21150,
48502,
49042,
13736... | [
0.0567626953125,
0.2364501953125,
0.249755859375,
0.23388671875,
0.1268310546875,
0.281005859375,
0.1839599609375,
0.005462646484375,
0.201416015625,
0.1865234375,
0.1300048828125,
0.014862060546875,
0.005523681640625,
0.1612548828125,
0.17626953125,
0.06268310546875,
0.1466064453125... |
68671a237313850337ac0e917ee0ac224005fe5a | subsection | 1 | 12 | Introduction | To reveal how the structural disorder affects the electronic structure of high-T_c cuprates is important to understand how the T_c is suppressed by disorder. Inhomogeneity of the electronic structure has been extensively studied by STM/STS , , , and it has been revealed that both disorder inside the CuO_2 plane such as... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 433,
"openalex_id": "",
"raw": "S. H. Pan, E. W. Hudson, K. M. Lang, H. Eisaki, S. Uchida, and J. C. Davis, Nature 403, 746 (2000).",
"source_ref_id": "5ad7963764e36e9cf91184beeb0e721337983f2d",
"start": 158
},
... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
122273,
118990,
141,
171986,
52490,
65133,
45646,
11192,
618,
454,
238,
314,
32246,
90,
5526,
28219,
384,
15811,
11856,
360,
497,
432,
15292,
2481,
22282,
10111,
64,
8545,
15044,
46132,
3003,
670,
304,
47880,
567,
19,
161740,
50782,
89978,
... | [
0.0943603515625,
0.2293701171875,
0.06280517578125,
0.264404296875,
0.1484375,
0.204345703125,
0.195556640625,
0.1448974609375,
0.1168212890625,
0.09783935546875,
0.1187744140625,
0.1173095703125,
0.1583251953125,
0.0960693359375,
0.03326416015625,
0.0994873046875,
0.1383056640625,
... |
388dc287c86eef5887fe62c18186d5c8e77bc08d | subsection | 2 | 12 | Introduction | Using ARPES, Okada et al. , have shown that the pseudogap increases and the Fermi arc length decreases with increasing disorder while the Fermi surface volume does not change.
The importance of anisotropic electron scattering by impurities in cuprates has been pointed out theoretically .
A recent theoretical study on t... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 176,
"openalex_id": "",
"raw": "Y. Okada, T. Takeuchi, T. Baba, S. Shin, and H. Ikuta, J. Phys. Soc. Jpn. 77, 074714 (2008).",
"source_ref_id": "4acd3a259bac37926d2eb8dc01d1914cab4b9e0e",
"start": 0
},
{
... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
345,
6953,
62,
38796,
6706,
180,
31620,
144,
127887,
74189,
208,
254,
51312,
7,
8002,
266,
46552,
140909,
227204,
118055,
171986,
71579,
21950,
959,
15549,
131011,
1866,
991,
133141,
77556,
19,
4460,
33558,
21980,
1162,
2449,
314,
32246,
90... | [
0.05682373046875,
0.01214599609375,
0.044677734375,
0.17236328125,
0.2410888671875,
0.0675048828125,
0.182861328125,
0.0286712646484375,
0.009246826171875,
0.2315673828125,
0.2313232421875,
0.168212890625,
0.1656494140625,
0.018035888671875,
0.203125,
0.233154296875,
0.1383056640625,... |
54e4cac25c7508a53e6afe1d3b81333d7d87be84 | subsection | 3 | 12 | Experiment | High quality single crystals of optimally doped Ln-Bi2201 were grown by the traveling solvent floating zone (TSFZ) method.
We measured La-Bi2201 (T_c\sim 34 K), Nd-Bi2201 (T_c\sim 29 K), La_{0.2}Gd_{0.2}-Bi2201 (T_c\sim 27 K), Gd-Bi2201 (T_c\sim 14 K).
Details of the sample preparation were described elsewhere .
ARPES ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 313,
"openalex_id": "",
"raw": "K. Fujita, T. Noda, K. M. Kojima, H. Eisaki, and S. Uchida, Phys. Rev. Lett. 95, 097006 (2005).",
"source_ref_id": "de6848609b491a81e6f26e6a76220ef5c4e78b79",
"start": 253
}
]
} | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
19694,
31897,
11001,
224128,
7,
24087,
538,
54,
20051,
339,
19,
9,
16882,
61107,
418,
55993,
70,
26983,
214,
86869,
660,
21917,
26518,
20288,
12763,
178732,
16,
55300,
72350,
71,
239,
15,
618,
238,
41872,
5072,
4442,
341,
247,
1702,
454... | [
0.048675537109375,
0.1435546875,
0.142333984375,
0.194091796875,
0.0367431640625,
0.1761474609375,
0.0286407470703125,
0.146240234375,
0.0767822265625,
0.10595703125,
0.1495361328125,
0.03729248046875,
0.1549072265625,
0.250732421875,
0.166748046875,
0.1572265625,
0.0364990234375,
... |
f8a3c781a9cc1ed22fb9917543b2bb383a5c54be | subsection | 4 | 12 | Fermi surface and anti-nodal gap | In Fig. REF (a), we compare the shape of the Fermi surface, namely, Fermi momenta k_F which have been determined from the peak positions of MDC's, for various samples and photon energies.
There is no appreciable difference between the Fermi surfaces of the different samples, that is, out-of-plane disorder does not caus... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 563,
"openalex_id": "",
"raw": "K. Fujita, T. Noda, K. M. Kojima, H. Eisaki, and S. Uchida, Phys. Rev. Lett. 95, 097006 (2005).",
"source_ref_id": "de6848609b491a81e6f26e6a76220ef5c4e78b79",
"start": 399
},
{
... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
119895,
9069,
919,
11,
69101,
115700,
70,
8002,
266,
71579,
4,
24,
3095,
472,
454,
765,
2809,
83324,
71,
1295,
280,
344,
19069,
7,
111,
276,
21960,
100,
67842,
121413,
136,
16186,
19,
14579,
83,
110,
51606,
2886,
60212,
17721,
12921,
... | [
0.1527099609375,
0.0419921875,
0.17236328125,
0.077880859375,
0.15283203125,
0.21630859375,
0.0217132568359375,
0.2470703125,
0.2685546875,
0.2249755859375,
0.021728515625,
0.0210723876953125,
0.18603515625,
0.02984619140625,
0.0192413330078125,
0.021636962890625,
0.02130126953125,
... |
6beb7bf9851568fe87ffe03be4f21e7093cdefaa | subsection | 5 | 12 | Fermi surface and anti-nodal gap | The enhancement of the anti-nodal gap size has not been observed for Zn- or Ni-substituted in-plane-disordered high-T_c cuprates , , , , , indicating that the effects of out-of-plane disorder are different from that of in-plane disorder in the antinodal region.
[Figure: (Color online) ARPES spectra and leading-edge mid... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 261,
"openalex_id": "",
"raw": "V. B. Zabolotnyy, S. V. Borisenko, A. A. Kordyuk, J. Fink, J. Geck, A. Koitzsch, M. Knupfer, B. Buchner, H. Berger, A. Erb, C. T. Lin, B. Keimer, and R. Follath, Phys. Rev. Lett. 96, 037003 (2006)."... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
156856,
674,
2874,
157,
2465,
43599,
13267,
1556,
959,
139999,
567,
19,
707,
1520,
209828,
23,
5868,
3827,
80596,
11192,
618,
454,
238,
314,
32246,
90,
114141,
93425,
1810,
4390,
13,
171986,
12921,
1295,
10776,
6795,
1484,
1118,
62,
38796... | [
0.1829833984375,
0.08203125,
0.202392578125,
0.1820068359375,
0.143310546875,
0.255859375,
0.141845703125,
0.039398193359375,
0.135009765625,
0.1260986328125,
0.0926513671875,
0.09246826171875,
0.028289794921875,
0.1318359375,
0.1922607421875,
0.10400390625,
0.188720703125,
0.07177... |
2f6eaa19785ca6242d3fda69ede6236aeaa4f46c | subsection | 6 | 12 | Superconducting gap in the nodal region | Now, we discuss the depression of the superconducting gap in the nodal region by out-of-plane disorder.
In Fig. REF (a)-(c), we have plotted EDC's along the Fermi surface for Ln-Bi2201.
We have employed the shift of the leading-edge mid-point (\Delta _{\mathrm {LEM}}) as a measure of the magnitude of the gap at each mo... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1059,
"openalex_id": "",
"raw": "T. Kondo, T. Takeuchi, A. Kaminski, S. Tsuda, and S. Shin, Phys. Rev. Lett. 98, 267004 (2007).",
"source_ref_id": "732799f992768da284dd5f3dc8b1f8aa31b9839d",
"start": 794
},
{
... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
14240,
45252,
105774,
111,
1601,
2271,
77193,
214,
43599,
23,
110,
2465,
10776,
390,
1810,
4390,
5868,
13,
171986,
119895,
9069,
919,
15,
11,
16,
9,
132,
247,
23577,
3674,
241,
21960,
7,
33233,
70,
8002,
266,
71579,
339,
19,
16882,
61... | [
0.0242919921875,
0.0745849609375,
0.3095703125,
0.030731201171875,
0.1942138671875,
0.13330078125,
0.2060546875,
0.0841064453125,
0.27880859375,
0.045074462890625,
0.1728515625,
0.1871337890625,
0.1754150390625,
0.05560302734375,
0.111572265625,
0.1129150390625,
0.1392822265625,
0.... |
2bbb40c42b9986bdc89d60e7fb052637e094e423 | subsection | 7 | 12 | Superconducting gap in the nodal region | This may indicate the different origins of the anti-nodal gap and the superconducting gap in the nodal region.
[Figure: (Color online) MDC widths for Ln-Bi2201.(a) MDC's at E_F in the nodal (0, 0)-(\pi ,\pi ) direction.Inset shows the definition of the Fermi angle \alpha .(b) MDC widths determined by a fit to a Lorentz... | {
"cite_spans": []
} | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
3293,
1543,
117414,
12921,
59665,
2874,
157,
2465,
43599,
1601,
2271,
77193,
110,
10776,
6795,
1484,
1118,
276,
21960,
146984,
7,
339,
19,
16882,
61107,
418,
99,
241,
919,
22085,
757,
1434,
48225,
4153,
3509,
45831,
80934,
8002,
266,
5529... | [
0.060546875,
0.09521484375,
0.1070556640625,
0.1221923828125,
0.125244140625,
0.1646728515625,
0.125244140625,
0.1480712890625,
0.2332763671875,
0.113525390625,
0.03179931640625,
0.1463623046875,
0.1312255859375,
0.1119384765625,
0.007415771484375,
0.05682373046875,
0.0255126953125,
... |
38389cb626ac935b6dd4279999d7c38635c0afaf | subsection | 8 | 12 | MDC width and transport properties | In order to see the effects of out-of-plane disorder on the QP mean-free path, we have examined the MDC width as shown in Fig. REF .
We show typical MDC's at E_F in the nodal direction in Fig. REF (a), where one can see that the MDC width is broadened in going from La-Bi2201 to Gd-Bi2201.
The MDC widths as a function o... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1062,
"openalex_id": "",
"raw": "K. Ishizaka, T. Kiss, S. Izumi, M. Okawa, T. Shimojima, A. Chainani, T. Togashi, S. Watanabe, C.-T. Chen, X. Y. Wang, T. Mochiku, T. Nakane, K. Hirata, and S. Shin, Phys. Rev. B 77, 064522 (2008)."... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
1957,
93425,
111,
1810,
4390,
5868,
13,
171986,
2396,
683,
29459,
32087,
60875,
160477,
276,
21960,
6,
146984,
237,
127887,
119895,
9069,
919,
7639,
222201,
7,
99,
241,
454,
23,
70,
110,
2465,
48225,
247,
7440,
831,
450,
83,
134744,
297... | [
0.0197601318359375,
0.1737060546875,
0.00439453125,
0.173828125,
0.1787109375,
0.19970703125,
0.05718994140625,
0.25244140625,
0.1390380859375,
0.179443359375,
0.1512451171875,
0.17626953125,
0.2022705078125,
0.039794921875,
0.11767578125,
0.218017578125,
0.00030517578125,
0.272216... |
a7601b3a90f6bd3f1df2c32756180b76fcedc33d | subsection | 9 | 12 | MDC width and transport properties | Therefore, when the scattering is in the unitary limit, \Delta \rho _0 ^{\mathrm {ARPES}}/\Delta \rho _0 ^{\mathrm {tr}} = 1, and when forward scattering is dominant, \Delta \rho _0 ^{\mathrm {ARPES}}/\Delta \rho _0 ^{\mathrm {tr}} \gg 1.
The present result \Delta \rho _0 ^{\mathrm {ARPES}}/\Delta \rho _0 ^{\mathrm {tr... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 727,
"openalex_id": "",
"raw": "Y. Fukuzumi, K. Mizuhashi, K. Takenaka, and S. Uchida, Phys. Rev. Lett. 76, 684 (1996).",
"source_ref_id": "7d95ff143197ed1c726b4640354fc507efb0a030",
"start": 240
},
{
"ar... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
228072,
3229,
91,
4460,
33558,
83,
23,
25072,
6635,
17475,
6,
58598,
102,
497,
2389,
24854,
41872,
125458,
42,
39,
11909,
683,
6706,
47391,
64,
101,
13331,
10666,
4448,
2203,
106,
4,
40225,
73944,
9815,
13379,
16750,
5072,
59811,
42459,
... | [
0.030670166015625,
0.0787353515625,
0.0726318359375,
0.2352294921875,
0.2083740234375,
0.02734375,
0.0733642578125,
0.177001953125,
0.1090087890625,
0.2083740234375,
0.027374267578125,
0.189453125,
0.1414794921875,
0.120361328125,
0.02740478515625,
0.02740478515625,
0.027374267578125... |
d07b738e670e8882d0cbcba3070895950ec4458c | subsection | 10 | 12 | Disorder effects on | In order to discuss the effect of disorder on T_c, let us consider the relationship between the superfluid density \rho _s, v_2, and the effective hole concentration x (which would be proportional to the Fermi arc length ),\hbar ^2 \rho _s /m = \hbar ^2 x /m -2(\ln 2 /\pi \alpha ^2) (v_F / v_2)T,proposed by Lee and co-... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 333,
"openalex_id": "",
"raw": "T. Yoshida, X.J. Zhou, D.H. Lu, S. Komiya, Y. Ando, H. Eisaki, T. Kakeshita, S. Uchida, Z. Hussain, Z.-X. Shen, and A. Fujimori, J. Phys.: Condens. Matter 19, 125209 (2007).",
"source_ref_id":... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
45252,
21543,
111,
171986,
98,
384,
454,
238,
16916,
76755,
17721,
1601,
18026,
532,
168,
7,
2481,
6,
497,
101,
81,
304,
4,
60266,
108564,
202104,
1022,
2806,
186,
123875,
289,
8002,
266,
46552,
140909,
127,
1299,
39,
2203,
41872,
13331... | [
0.0679931640625,
0.213134765625,
0.09375,
0.300048828125,
0.0946044921875,
0.162353515625,
0.1318359375,
0.17138671875,
0.042694091796875,
0.1458740234375,
0.04266357421875,
0.1480712890625,
0.1939697265625,
0.120361328125,
0.170166015625,
0.05853271484375,
0.0574951171875,
0.00283... |
4ecba8b8ee797d06be98acaea003d0cf4d5105c8 | subsection | 11 | 12 | Conclusion | We have measured the ARPES spectra of disorder-controlled Ln-Bi2201 system to investigate the effects of out-of-plane disorder on the electronic structure of high-T_c cuprates.
We have found, a depression of the EDC peak at the node and a broadening of the MDC width \Delta k on the Fermi surface due to moderately forwa... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1405,
"openalex_id": "",
"raw": "T. Noguchi, R. Saito, T. Machida, Y. Kamijo, K. Harada, T. Kato, and H. Sakata, Physica C 463, 138 (2007).",
"source_ref_id": "496c137be4f15b53d67d3dd71483ab155bb44b7e",
"start": 1221
... | 10.1103/PhysRevB.79.144517 | 0807.1779 | Effects of out-of-plane disorder on the nodal quasiparticle and
superconducting gap in single-layer Bi$_2$Sr$_{1.6}Ln_{0.4}$CuO$_{6+\delta}$
($Ln$ = La, Nd, Gd) | [
"M. Hashimoto",
"T. Yoshida",
"A. Fujimori",
"D. H. Lu",
"Z. -X. Shen",
"M. Kubota",
"K. Ono",
"M. Ishikado",
"K. Fujita",
"S. Uchida"
] | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2,008 | en | Physics | [
72350,
62,
38796,
6706,
48502,
1517,
171986,
81988,
339,
19,
16882,
61107,
418,
5426,
32603,
70,
93425,
1810,
9,
4390,
5868,
65133,
45646,
11192,
618,
454,
238,
314,
32246,
90,
14037,
105774,
241,
21960,
280,
344,
99,
110,
112,
10,
1347... | [
0.1387939453125,
0.032073974609375,
0.1490478515625,
0.1907958984375,
0.1146240234375,
0.06463623046875,
0.2379150390625,
0.1680908203125,
0.058013916015625,
0.10089111328125,
0.11767578125,
0.1907958984375,
0.110595703125,
0.135986328125,
0.034088134765625,
0.001708984375,
0.1408691... |
5f877913d8d54707c781c35a823db7955059dffa | abstract | 0 | 24 | Abstract | We study the Kondo effect and related transport properties in orbitally
degenerate vertical quantum dot systems with plural electrons. Applying the
non-crossing approximation to the three-orbital Anderson impurity model with
the finite Coulomb interaction and Hund-coupling, we investigate the
magnetic-field dependence ... | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
35187,
1204,
557,
21543,
6181,
183871,
103173,
25958,
8,
48281,
79259,
110436,
20633,
76519,
678,
97308,
77556,
1779,
5659,
351,
95665,
214,
35707,
53950,
17262,
748,
3137,
289,
85522,
566,
4717,
2481,
3299,
94418,
10391,
6492,
182809,
49083,... | [
0.0867919921875,
0.13330078125,
0.2841796875,
0.252197265625,
0.261474609375,
0.1748046875,
0.17724609375,
0.07965087890625,
0.1102294921875,
0.1689453125,
0.1815185546875,
0.1280517578125,
0.1812744140625,
0.13916015625,
0.011322021484375,
0.21240234375,
0.1239013671875,
0.0661621... |
28223acfcdfc5021aefe6c300956cde3002d6624 | subsection | 1 | 24 | Introduction | Since it was found that the Kondo effect significantly influences
transport properties of quantum dot (QD) systems
electron correlations in such nanoscale systems
have attracted much attention.
Although the Kondo physics has been investigated
for more than forty years and the mechanism has been already understood
, , ,... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 392,
"openalex_id": "",
"raw": "J. Kondo: Prog. Theor. Phys. 32 (1964) 37.",
"source_ref_id": "c68af13eb6f2c99b887a0767c6b413b95217a81e",
"start": 194
},
{
"arxiv_id": "",
"doi": "",
"end": 39... | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
66016,
509,
14037,
450,
1204,
557,
21543,
207583,
79507,
6181,
183871,
110436,
20633,
2737,
397,
16,
76519,
77556,
19,
16106,
57860,
7,
23,
6044,
24,
2245,
57965,
765,
110281,
297,
5045,
35743,
106073,
70,
6,
34053,
27744,
1556,
2809,
326... | [
0.01177978515625,
0.027099609375,
0.045135498046875,
0.027008056640625,
0.1514892578125,
0.301513671875,
0.2705078125,
0.05767822265625,
0.1456298828125,
0.267333984375,
0.190185546875,
0.1339111328125,
0.1707763671875,
0.1431884765625,
0.2022705078125,
0.0272369384765625,
0.16284179... |
77a049832011b7b183cf62cc644fe2a3efd3f54b | subsection | 2 | 24 | Introduction | In §, we introduce the model and
briefly mention the NCA approach.
In §, we present our numerical results, and
discuss the magnetic-field dependence of the conductance and thermopower
in the presence of the \lambda -perturbation.
A brief summary is given in §. | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
360,
5360,
642,
65508,
3299,
59335,
41392,
541,
13133,
51515,
13379,
54744,
6827,
50339,
45252,
214706,
28394,
6,
215131,
55080,
7154,
136,
182342,
62783,
23,
169424,
41872,
143,
6492,
85,
1264,
987,
402,
177074,
34475
] | [
0.0728759765625,
0.1690673828125,
0.019287109375,
0.15625,
0.256591796875,
0.1318359375,
0.050445556640625,
0.1055908203125,
0.2359619140625,
0.191162109375,
0.08984375,
0.1214599609375,
0.00042724609375,
0.1212158203125,
0.0618896484375,
0.19091796875,
0.1947021484375,
0.003082275... |
9e17ed652a122b9659df4c50f3c45e5e6ee66dc8 | subsection | 3 | 24 | Model and Method | In this section, we introduce our vertical QD system
with orbital degrees of freedom,
which is modeled as the three-orbital Anderson impurity Hamiltonian.
Then, we outline the theoretical framework to treat the Kondo effect
and to derive the linear conductance and thermopower. | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
360,
903,
40059,
65508,
2446,
79259,
2396,
397,
5426,
678,
103173,
289,
79385,
111,
147452,
3299,
237,
17262,
748,
3137,
85522,
566,
4717,
2481,
94674,
3378,
47009,
1810,
2256,
70,
4524,
70760,
170846,
85689,
1204,
557,
21543,
122,
5844,
... | [
0.012603759765625,
0.05767822265625,
0.1011962890625,
0.1024169921875,
0.0416259765625,
0.2178955078125,
0.1083984375,
0.1510009765625,
0.1915283203125,
0.028717041015625,
0.181884765625,
0.06732177734375,
0.1016845703125,
0.04736328125,
0.17724609375,
0.18408203125,
0.00393676757812... |
91047999ee07bfbc332f618580ef580361b71ac0 | subsection | 4 | 24 | Three-orbital quantum dot | Let us consider a single QD with plural electrons.
The single-particle energy levels of the QD can be described
as the Fock-Darwin states.
As seven, eight, or nine electrons occupy
the Fock-Darwin states at zero field
successively from the lowest energy level,
six electrons form the closed-shell and
the extra electrons... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 2419,
"openalex_id": "",
"raw": "S. Tarucha, Y. Tokura and Y. Hirayama: Phys. Rev. B 44 (1991) 13815.",
"source_ref_id": "49d679e26d8fc76b57e22e7361f5ce71f20fd96e",
"start": 2207
}
]
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
16916,
11001,
2396,
397,
678,
97308,
77556,
1779,
254,
26147,
48302,
90926,
831,
186,
151552,
147903,
92,
9,
62051,
9494,
117249,
59671,
4,
136659,
707,
300,
36,
143414,
53,
99,
45234,
44457,
538,
1295,
70,
459,
25617,
17366,
37195,
3173,... | [
0.03070068359375,
0.1488037109375,
0.1925048828125,
0.1937255859375,
0.04888916015625,
0.228271484375,
0.21533203125,
0.145751953125,
0.0440673828125,
0.117431640625,
0.1767578125,
0.1873779296875,
0.0191192626953125,
0.01080322265625,
0.060546875,
0.166748046875,
0.1231689453125,
... |
2a0e913627b8f84a1f57a22784343ac9e0bb9e2c | subsection | 5 | 24 | Three-orbital quantum dot | REF .To consider the Kondo effect,
we describe our QD system by the three-orbital Anderson impurity model,{\cal H} &=& {\cal H}_c + {\cal H}_d+{\cal H}_t,
\\
{\cal H}_c &=& \sum _{ k l \sigma }
\varepsilon _k c_{k l \sigma }^{\dagger } c_{k l \sigma },
\\
{\cal H}_d &=& \sum _{l \sigma }
E_{d_l} d_{l \sigma }^{\dagge... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1799,
"openalex_id": "",
"raw": "S. Sasaki, S. Amaha, N. Asakawa, M. Eto, and S. Tarucha: Phys. Rev. Lett. 93 (2004) 017205.",
"source_ref_id": "186f328be8a86fb7b192b5fa583dcbdc1aec8d53",
"start": 1612
},
{
... | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
9069,
919,
16916,
70,
1204,
557,
21543,
642,
98363,
2446,
2396,
397,
5426,
390,
17262,
748,
3137,
289,
85522,
566,
4717,
2481,
3299,
6827,
572,
8152,
1369,
1230,
10666,
41872,
454,
238,
997,
71,
1328,
24854,
4,
18991,
619,
6,
11832,
1... | [
0.08367919921875,
0.112060546875,
0.1156005859375,
0.034027099609375,
0.1650390625,
0.311767578125,
0.2861328125,
0.01580810546875,
0.1624755859375,
0.1087646484375,
0.2080078125,
0.2291259765625,
0.244140625,
0.0175933837890625,
0.1507568359375,
0.0643310546875,
0.16259765625,
0.1... |
39360e079623a8ad691fcc2e8939f494568f0df7 | subsection | 6 | 24 | Non-crossing approximation | In order to study the three-orbital Kondo effect
for the model eq. (REF ),
we make use of the NCA.
This method is known to give physically sensible results at temperatures around and higher than the Kondo temperature
, , , .
In fact, it has been successfully applied to the Ce and Yb impurity problem,
for which orbital ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 224,
"openalex_id": "",
"raw": "H. Keiter and G. Morandi: Phys. Rep. 109 (1984) 227.",
"source_ref_id": "b630cd953c9ebeafe1070cb8eb8de2053e741223",
"start": 99
},
{
"arxiv_id": "",
"doi": "",
... | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
12989,
35187,
17262,
748,
3137,
289,
1204,
557,
21543,
70,
3299,
28,
864,
11766,
919,
6,
642,
3249,
4527,
111,
541,
13133,
55300,
83,
51529,
8337,
72761,
538,
82091,
50339,
99,
52768,
7,
10932,
136,
77546,
3501,
4,
360,
15824,
1556,
2... | [
0.027679443359375,
0.1854248046875,
0.18701171875,
0.0908203125,
0.18798828125,
0.102294921875,
0.13037109375,
0.297607421875,
0.263916015625,
0.0628662109375,
0.233154296875,
0.003631591796875,
0.170166015625,
0.1173095703125,
0.2113037109375,
0.02191162109375,
0.03485107421875,
0... |
d12a80ac5edcc608cf796a101a03248694bcd617 | subsection | 7 | 24 | Non-crossing approximation | The local DOS in the QD is obtained as\rho _{l \sigma }(\omega ) &
= \frac{1}{Z_{\textrm {loc}}}
\sum _{mn} \left|M_{mn}^{l \sigma }\right|^{2}
\int d\varepsilon e^{- \varepsilon / T} \\
& \times \left[ \rho _m (\varepsilon )\rho _n (\varepsilon -\omega )
+\rho _m (\varepsilon +\omega )\rho _n (\varepsilon ) \right].He... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1293,
"openalex_id": "",
"raw": "Y. Meir and N. S. Wingreen: Phys. Rev. Lett. 68 (1992) 2512; Y. Meir, N. S. Wingreen, and P. A. Lee: Phys. Rev. Lett. 70 (1993) 2601; A.-P. Jauho, N. S. Wingreen, and Y. Meir: Phys. Rev. B 50 (1994... | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
4000,
86559,
23,
70,
2396,
397,
83,
113054,
297,
237,
497,
141,
6,
41872,
20561,
192,
51912,
132,
306,
2765,
1388,
619,
2203,
132076,
24854,
418,
8152,
1511,
454,
42,
39,
55043,
47391,
11832,
101,
28725,
133,
2480,
594,
8353,
54969,
5... | [
0.190673828125,
0.260498046875,
0.07080078125,
0.047576904296875,
0.1842041015625,
0.1900634765625,
0.0300750732421875,
0.1209716796875,
0.0270843505859375,
0.012786865234375,
0.133056640625,
0.1015625,
0.0303955078125,
0.030548095703125,
0.156005859375,
0.1700439453125,
0.0305786132... |
9189889e243c7fc55770d2f27fe50471ecd9af4c | subsection | 8 | 24 | Non-crossing approximation | However, the qualitative behavior of transport properties
with varying the orbital level-splitting
is described well by the NCA even at lower temperatures.
We will return to this point later. In the end of the next section,
we will complementally investigate the temperature dependence of transport properties. | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
33306,
150234,
123166,
6181,
183871,
678,
285,
38543,
103173,
289,
17366,
26026,
19514,
151552,
5299,
541,
13133,
3853,
99,
92319,
52768,
1221,
30646,
6275,
14432,
3564,
111,
11737,
40059,
110633,
32603,
215131
] | [
0.08209228515625,
0.1956787109375,
0.1915283203125,
0.264404296875,
0.2152099609375,
0.042022705078125,
0.1146240234375,
0.0771484375,
0.1873779296875,
0.08905029296875,
0.1646728515625,
0.1485595703125,
0.0933837890625,
0.1282958984375,
0.0950927734375,
0.06573486328125,
0.164794921... |
b14bfc46f2eb2633727aba2ec197f637289c8776 | subsection | 9 | 24 | Numerical Results | In this section, we discuss how magnetic fields influence the three-orbital
Kondo effect and transport properties in the QD systems.
We investigate the situations where the QD contains
one electron, two electrons, and three electrons, in each subsection.
As mentioned in the previous section,
they correspond to the orbi... | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
903,
40059,
45252,
3642,
214706,
44457,
7,
79507,
17262,
748,
3137,
289,
1204,
557,
21543,
6181,
183871,
2396,
397,
76519,
32603,
113949,
7440,
70541,
1632,
77556,
6626,
1779,
136,
12638,
1614,
58994,
42518,
103173,
93425,
139999,
195935,
792... | [
0.0160980224609375,
0.07574462890625,
0.049896240234375,
0.0143280029296875,
0.1982421875,
0.1910400390625,
0.0489501953125,
0.1796875,
0.1697998046875,
0.0653076171875,
0.1517333984375,
0.1085205078125,
0.10693359375,
0.261474609375,
0.2098388671875,
0.2349853515625,
0.166748046875,... |
cbc036d52c1431ab672f1f4c22920dad5707141c | subsection | 10 | 24 | Three-orbital Kondo effect with one electron; | Let us start with
the three-orbital Kondo effect with one electron (n_{tot}=1):
The center of the energy levels in eq. (REF ) is fixed at \varepsilon _c = -U/2.
In this subsection,
we set parameters as the Coulomb interaction U/\Gamma =10
and the temperature T/\Gamma =0.016.
The magnetic-field \Delta _{B} dependence of... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 953,
"openalex_id": "",
"raw": "A. K. Zhuravlev, V. Yu. Irkhin, M. I. Katsnelson, and A. I. Lichtenstein: Phys. Rev. Lett. 93 (2004) 236403.",
"source_ref_id": "9fcb4f1a360945c7e2b58406367231e58ac3b930",
"start": 723
... | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
4034,
17262,
748,
3137,
289,
1204,
557,
21543,
1632,
77556,
19,
21737,
33000,
27585,
48302,
90926,
864,
11766,
919,
188347,
15759,
4759,
238,
1062,
12477,
1614,
5423,
171859,
237,
10391,
6492,
182809,
345,
963,
52768,
384,
182149,
910,
2147... | [
0.0239715576171875,
0.172119140625,
0.0703125,
0.1595458984375,
0.0755615234375,
0.1474609375,
0.290283203125,
0.26806640625,
0.08251953125,
0.1483154296875,
0.070556640625,
0.06787109375,
0.01202392578125,
0.172607421875,
0.129150390625,
0.145263671875,
0.09881591796875,
0.0495300... |
4b75dbc02085b52001db7a14b5c7296fd5e3c67b | subsection | 11 | 24 | Three-orbital Kondo effect with one electron; | Since the SU(4) Kondo temperature T_K^{SU(4)}(\sim 0.05 \Gamma ) is smaller than the SU(6) Kondo temperature T_K^{SU(6)}, the conductance decreases faster with magnetic fields \Delta _B for larger \Delta _{\lambda }.
Around \Delta _{\lambda } = T_K^{SU(6)} \sim 0.1 \Gamma ,
the magnetic-field dependency of the conducta... | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
66016,
16817,
99217,
1204,
557,
52768,
384,
605,
16395,
8152,
5072,
89678,
758,
6,
36557,
1388,
164917,
169073,
55080,
7154,
227204,
7,
4271,
56,
214706,
44457,
58598,
102,
571,
150679,
24854,
41872,
143,
6492,
85,
51912,
62,
67688,
2203,
... | [
0.0186767578125,
0.1826171875,
0.1910400390625,
0.1217041015625,
0.255859375,
0.2222900390625,
0.0428466796875,
0.0736083984375,
0.166015625,
0.01104736328125,
0.1573486328125,
0.05029296875,
0.093994140625,
0.010833740234375,
0.1656494140625,
0.01068115234375,
0.109130859375,
0.09... |
4a2139605d91f753676649798254aa1bec2b8f89 | subsection | 12 | 24 | With two electrons; | We now move to the two-electron regime n_{tot}=2:
The center of the energy levels in eq. (REF ) is
\varepsilon _c = -3U/2.
Since plural electrons are contained in folding orbitals,
the Hund-coupling between two electrons plays an important role in the Kondo effect and the transport.
The similar Kondo effect in QD syste... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 424,
"openalex_id": "",
"raw": "M. Eto and Yu. V. Nazarov: Phys. Rev. Lett. 85 (2000) 1306; Phys. Rev. B 64 (2001) 085322.",
"source_ref_id": "58542ceb88c9190700001fc5bba9bb418016473a",
"start": 284
},
{
... | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
5036,
25813,
6626,
100184,
1900,
63647,
21737,
55257,
27585,
48302,
90926,
864,
11766,
919,
83,
26761,
15759,
4759,
238,
20,
363,
1062,
12477,
97308,
77556,
1779,
70541,
18344,
6238,
103173,
16765,
49083,
587,
2037,
2069,
17721,
11301,
5526,
... | [
0.006011962890625,
0.0430908203125,
0.181640625,
0.118896484375,
0.1370849609375,
0.2237548828125,
0.171630859375,
0.146484375,
0.2000732421875,
0.18359375,
0.200927734375,
0.12646484375,
0.013427734375,
0.079345703125,
0.01629638671875,
0.0382080078125,
0.09033203125,
0.1428222656... |
583fa6fd835ae52e4d92c958f5a7a1df12a0d861 | subsection | 13 | 24 | Zero | We first address the case that the \lambda -perturbation is negligibly small,
\Delta _{\lambda }=0,
where only the magnetic field splits the energy levels by \Delta _{B},
as shown in Fig. REF (a).
[Figure: (Color online)(a)-(c): The eigenenergies of H_{d}as a function of \Delta _{B} are describedfor \Delta _{\lambda }/... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1331,
"openalex_id": "",
"raw": "M. Eto and Yu. V. Nazarov: Phys. Rev. Lett. 85 (2000) 1306; Phys. Rev. B 64 (2001) 085322.",
"source_ref_id": "58542ceb88c9190700001fc5bba9bb418016473a",
"start": 1127
},
{
... | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
5117,
29823,
7225,
41872,
143,
6492,
85,
1264,
987,
402,
1363,
83,
22024,
735,
38526,
19336,
6,
58598,
102,
51912,
145407,
4,
4734,
70,
214706,
44457,
65450,
48302,
90926,
571,
8152,
237,
127887,
23,
119895,
919,
15,
11,
6159,
6795,
13,... | [
0.0184783935546875,
0.0728759765625,
0.09063720703125,
0.06964111328125,
0.0712890625,
0.2127685546875,
0.1485595703125,
0.041839599609375,
0.2047119140625,
0.1473388671875,
0.0611572265625,
0.03936767578125,
0.083740234375,
0.001373291015625,
0.0704345703125,
0.1204833984375,
0.0066... |
cf54007b91f6180c0dffd305d4f4842e033b312a | subsection | 14 | 24 | Zero | However, the higher degeneracy at \Delta _{B}=0
obscures the enhancement of the conductance.
Therefore, for the three-orbital case,
the enhancement of the conductance caused by the singlet-triplet mechanism
is not clear in contrast to the two-orbital case.
Here, the order of the Kondo temperature for the
triply degener... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 847,
"openalex_id": "",
"raw": "R. Sakano and N. Kawakami: Phys. Rev. B 73 (2006) 155332.",
"source_ref_id": "68d2bc92b2621943af0ba7198689dbb6fe83dda5",
"start": 661
}
]
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
33306,
77546,
8,
48281,
2408,
99,
41872,
58598,
102,
571,
145407,
160608,
156856,
55080,
7154,
17262,
748,
3137,
289,
7225,
143434,
11001,
18,
59623,
1974,
191619,
959,
34735,
69822,
6626,
12989,
1204,
557,
52768,
24745,
538,
67,
103173,
11... | [
0.002593994140625,
0.10003662109375,
0.1715087890625,
0.2164306640625,
0.0225067138671875,
0.052886962890625,
0.01556396484375,
0.177978515625,
0.1114501953125,
0.1373291015625,
0.16015625,
0.0931396484375,
0.17919921875,
0.232421875,
0.1275634765625,
0.206298828125,
0.1038818359375,... |
f12d7c0f2f2e893ac37d90956db832f0c0a96a81 | subsection | 15 | 24 | Effect of | We next investigate the effect of the \lambda -perturbation
\Delta _{\lambda } on the Kondo effect and
transport properties.As shown in Fig. REF (a),
\Delta _{\lambda } obviously influences the magnetic-field dependence
of the conductance G.
For small \Delta _{\lambda } (\Delta _{\lambda }/\Gamma =0.05),
the conductanc... | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
11737,
32603,
21543,
41872,
143,
6492,
85,
20,
1264,
987,
402,
1363,
58598,
102,
101,
98,
1204,
557,
136,
6181,
183871,
119895,
919,
15,
6,
171259,
79507,
7,
214706,
28394,
215131,
55080,
7154,
527,
1326,
19336,
24854,
51912,
64,
145407,
... | [
0.031005859375,
0.081787109375,
0.223876953125,
0.05218505859375,
0.0902099609375,
0.2457275390625,
0.182861328125,
0.000030517578125,
0.0377197265625,
0.200439453125,
0.1634521484375,
0.0902099609375,
0.2320556640625,
0.2003173828125,
0.0723876953125,
0.038482666015625,
0.1187744140... |
368131a2bb27660862ddf0463db8d6455cf66aa8 | subsection | 16 | 24 | Effect of | REF (e).
It is found that all three orbitals contain the nonzero number of electrons
at \Delta _{B}/\Gamma =0.05 \sim 0.06.
This means that all three orbitals are concerned with the Kondo effect.
Therefore, the system behaves as the 1/3-filling, which leads to
negative values of the thermopower.
Increasing \Delta _{\la... | {
"cite_spans": []
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
9069,
919,
13,
14037,
756,
17262,
103173,
16765,
70541,
351,
80510,
14012,
77556,
1779,
99,
58598,
571,
36557,
145407,
8194,
5072,
757,
20773,
142837,
1204,
557,
21543,
5426,
68991,
237,
62366,
116115,
214,
37105,
40907,
142424,
70,
182342,
... | [
0.093017578125,
0.175048828125,
0.05718994140625,
0.058074951171875,
0.0736083984375,
0.1861572265625,
0.22802734375,
0.1566162109375,
0.16455078125,
0.1129150390625,
0.1796875,
0.08642578125,
0.183349609375,
0.1385498046875,
0.0697021484375,
0.175537109375,
0.0816650390625,
0.1331... |
d6f0af66d85f198a98b101981d0b9ec6d80078ed | subsection | 17 | 24 | Effect of | In this case,
the \lambda -perturbation
does not affect qualitative behavior of transport properties,
because the local ground state is always the singlet state
for the finite magnetic field,
irrespective of the \lambda -perturbation.First, we discuss the case in the absence of the Hund-coupling, J=0.
[Figure: (Color o... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1645,
"openalex_id": "",
"raw": "R. Sakano and N. Kawakami: Phys. Rev. B 73 (2006) 155332.",
"source_ref_id": "68d2bc92b2621943af0ba7198689dbb6fe83dda5",
"start": 1491
}
]
} | 10.1143/JPSJ.77.094707 | 0807.1780 | Three-orbital Kondo effect in single quantum dot system with plural
electrons | [
"Tomoko Kita",
"Rui Sakano",
"Takuma Ohashi",
"Sei-ichiro Suga"
] | [
"cond-mat.str-el",
"cond-mat.mes-hall"
] | 2,008 | en | Physics | [
903,
7225,
6,
41872,
143,
6492,
85,
1264,
987,
402,
1363,
14602,
959,
52490,
150234,
13,
123166,
6181,
183871,
4,
70,
4000,
61585,
11341,
83,
11343,
11001,
18,
94418,
214706,
44457,
5844,
111,
45252,
112199,
49083,
9,
587,
2037,
2069,
8... | [
0.0263214111328125,
0.0784912109375,
0.0028076171875,
0.0171966552734375,
0.07843017578125,
0.2227783203125,
0.1708984375,
0.075927734375,
0.2198486328125,
0.182861328125,
0.094482421875,
0.05487060546875,
0.1123046875,
0.173095703125,
0.2291259765625,
0.002532958984375,
0.1973876953... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.