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cond-mat/9512176
Multifractal Analysis of the Coupling Space of Feed-Forward Neural Networks
Random input patterns induce a partition of the coupling space of feed-forward neural networks into different cells according to the generated output sequence. For the perceptron this partition forms a random multifractal for which the spectrum $f(\alpha)$ can be calculated analytically using the replica trick. Phase t...
1995-12-29
2009-10-28
[ "cond-mat", "q-bio" ]
A. Engel, M. Weigt, (Otto-von-Guericke-Universit\"at Magdeburg, Germany)
cond-mat/9512175
Equation of Motion for a Spin Vortex and Geometric Force
The Hamiltonian equation of motion is studied for a vortex occuring in 2-dimensional Heisenberg ferromagnet of anisotropic type by starting with the effective action for the spin field formulated by the Bloch (or spin) coherent state. The resultant equation shows the existence of a geometric force that is analogous to ...
1995-12-29
2009-10-28
[ "cond-mat" ]
Hiroshi Kuratsuji, Hiroyuki Yabu
cond-mat/9512173
A Calogero-Sutherland Type Model For Branched Polymers
We show that a Calogero-Sutherland type model with anharmonic interactions of fourth and sixth orders leads to the matrix model corresponding to the branched polymers. We also show that by suitably modifying this model one can also obtain N-particle problems which are connected to matrix models corresponding to the pur...
1995-12-27
2015-06-25
[ "cond-mat", "hep-th" ]
Dileep P. Jatkar and Avinash Khare
cond-mat/9512172
Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics
We show in the example of a one-dimensional asymmetric exclusion process that stationary states of models with parallel dynamics may be written in a matrix product form. The corresponding algebra is quadratic and involves three different matrices. Using this formalism we prove previous conjectures for the equal-time co...
1995-12-27
2009-10-28
[ "cond-mat" ]
Haye Hinrichsen (Weizmann Institute, Rehovot)
cond-mat/9512171
Nonlinearities in Conservative Growth Equations
Using the dynamic renormalization group (DRG) technique, we analyze general nonlinearities in a conservative nonlinear growth equation with non-conserved gaussian white noise. We show that they fall in two classes only: the Edwards-Wilkinson and Lai-Das Sarma types, by explicitly computing the associated amputated two ...
1995-12-27
2009-10-28
[ "cond-mat" ]
Abhijit K. Kshirsagar and S.V. Ghaisas
cond-mat/9512168
Study on Ground States of Quantum Spin Systems by Restructuring Method
We present a new method to study the ground state of quantum spin systems using the Monte Carlo techniques together with restructured intermediate states which we proposed previously. Our basic idea is to obtain coefficients in the expansion of the ground state from measurements of the normalized frequencies of each ...
1995-12-25
2016-08-31
[ "cond-mat" ]
Tomo Munehisa and Yasuko Munehisa( Yamanashi Univ.)
cond-mat/9512167
Dynamical Probability Distribution Function of the SK Model at High Temperatures
The microscopic probability distribution function of the Sherrington-Kirkpatrick (SK) model of spin glasses is calculated explicitly as a function of time by a high-temperature expansion. The resulting formula to the third order of the inverse temperature shows that an assumption made by Coolen, Laughton and Sherringto...
1995-12-25
2009-10-28
[ "cond-mat" ]
Hidetoshi Nishimori and Michiko Yamana (Tokyo Institute of Technology)
cond-mat/9512166
$\nu =1/2$ Bilayer Tunnelling
Tunneling of electrons between two $\nu = 1/2$ quantum Hall parallel planes is studied. In order to calculate the physical electron Green's function, the Chern-Simons gauge field formalism is used, both in a perturbative many-body calculation and in a semiclassical calculation. In contrast to recent experiments, no gap...
1995-12-24
2007-05-23
[ "cond-mat" ]
David Lidsky
cond-mat/9512165
Exact Solution of an One Dimensional Deterministic Sandpile Model
Using the transfer matrix method, we give the exact solution of a deterministic sandpile model for arbitrary $N$, where $N$ is the size of a single toppling. The one- and two-point functions are given in term of the eigenvalues of an $N \times N$ transfer matrix. All the n-point functions can be found in the same way. ...
1995-12-24
2009-10-28
[ "cond-mat" ]
Darwin Chang(Natl. Tsing-Hua Univ.), Shih-Chang Lee(Academia Sinica) and Wen-Jer Tzeng(Academia Sinica)
cond-mat/9512164
Transfer Matrix Method in Sandpile Models
We present a transfer matrix method which is particularly useful for solving some classes of sandpile models. The method is then used to solve the deterministic nonabelian sandpile models for N=2 and N=3. The possibility of generalization to arbitrary N is discussed briefly.
1995-12-24
2007-05-23
[ "cond-mat" ]
Darwin Chang(Natl. Tsing Hua Univ.), Chen-Shan Chin(Natl. Tsing Hua Univ.), Shih-Chang Lee(Academic Sinica)
cond-mat/9512163
Chiral Fluctuations and Structures
Chiral molecules form a number of non-chiral structures, the simplest being an isotropic fluid phase. In a mesophase of achiral molecules the fluctuations will on average be achiral as well: left-handed twists and right-handed twists will occur with the same probability. In a system composed of chiral molecules, howeve...
1995-12-23
2008-02-03
[ "cond-mat" ]
T.C. Lubensky, Randall D. Kamien and Holger Stark
cond-mat/9512161
Theory of Nuclear Magnetic Relaxation in Haldane Gap Materials: An Illustration of the Use of (1+1)-Dimensional Field Theory Techniques
A comprehensive theory of nuclear magnetic relaxation is developed for Haldane Gap materials using nonlinear sigma, boson and fermion models. We include a thorough discussion of of the effects of interchain couplings, nearest neighbour hyperfine couplings and crystal structure. We also introduce a new theory of impurit...
1995-12-22
2008-02-03
[ "cond-mat" ]
Jacob S. Sagi
cond-mat/9512155
Aspect ratio analysis for ground states of bosons in anisotropic traps
Characteristics of the initial condensate in the recent experiment on Bose-Einstein condensation (BEC) of ${}^{87}$Rb atoms in an anisotropic magnetic trap is discussed. Given the aspect ratio $R$, the quality of BEC is estimated. A simple analytical Ansatz for the initial condensate wave function is proposed as a func...
1995-12-22
2015-06-25
[ "cond-mat", "hep-th", "quant-ph" ]
Kirill Ilinski and Alexander Moroz
cond-mat/9512149
Some New Results on Yang-Lee Zeros of the Ising Model Partition Function
We prove that for the Ising model on a lattice of dimensionality $d \ge 2$, the zeros of the partition function $Z$ in the complex $\mu$ plane (where $\mu=e^{-2\beta H}$) lie on the unit circle $|\mu|=1$ for a wider range of $K_{n n'}=\beta J_{nn'}$ than the range $K_{n n'} \ge 0$ assumed in the premise of the Yang-Lee...
1995-12-22
2009-10-28
[ "cond-mat", "hep-lat" ]
Victor Matveev and Robert Shrock
cond-mat/9512160
Spin-reflection positivity of the Kondo lattice at half-filling
We examine the spin-reflection positivity of the ground state of the Kondo lattice model at half-filling with the antiferromagnetic and ferromagnetic exchange couplings $J\ne0$. For every positive $U>0$, where U is the Coulomb interaction between the conduction electrons, we can show that the ground state is unique.
1995-12-22
2007-05-23
[ "cond-mat" ]
T. Yanagisawa and Y. Shimoi
cond-mat/9512156
Aspects of d-Density Order
I briefly review the concept of d-density ordering, extend it to arbitrary dimensions, and speculate that it might describe Mott insulators. This ordering supports zero modes on domain walls, and quite plausibly dopants occupy such states. This phenomenon could induce quasi-one dimensional behavior in a two-dimensional...
1995-12-22
2008-02-03
[ "cond-mat" ]
Frank Wilczek
cond-mat/9512152
Shadow band in the one-dimensional large $U$ Hubbard model
We show that the factorized wave-function of Ogata and Shiba can be used to calculate the $k$ dependent spectral functions of the one-dimensional, infinite $U$ Hubbard model, and of some extensions to finite $U$. The resulting spectral function is remarkably rich: In addition to low energy features typical of Luttinger...
1995-12-22
2009-10-28
[ "cond-mat" ]
Karlo Penc, Karen Hallberg, Frederic Mila and Hiroyuki Shiba
cond-mat/9512154
Evidence of a Critical time in Constrained Kinetic Ising models
We study the relaxational dynamics of the one-spin facilitated Ising model introduced by Fredrickson and Andersen. We show the existence of a critical time which separates an initial regime in which the relaxation is exponentially fast and aging is absent from a regime in which relaxation becomes slow and aging effects...
1995-12-22
2009-10-28
[ "cond-mat" ]
E. Follana and F. Ritort
cond-mat/9512159
A microscopic approach to the response of $^{\bf 3}$He -$^{\bf 4}$He mixtures
Correlated Basis Function perturbation theory is used to evaluate the zero temperature response $S(q,\omega)$ of $^3$He-$^4$He mixtures for inelastic neutron scattering, at momentum transfers $q$ ranging from $1.1$ to $1.7 \AA^{-1}$. We adopt a Jastrow correlated ground state and a basis of correlated particle-hole and...
1995-12-22
2009-10-28
[ "cond-mat" ]
A. Fabrocini, L. Vichi, F. Mazzanti, and A. Polls
cond-mat/9512150
Quantum melting on a lattice and a delocalization transition
We consider 2d gas of spinless fermions with the Coulomb interaction on a lattice at T=0 and at different values of the hopping amplitude J. At small J electrons form a periodic structure. At filling factor \nu=1/6 this structure melts at J as low as 0.02--0.03 in units of the nearest-neighbor Coulomb energy. We argue ...
1995-12-22
2008-02-03
[ "cond-mat" ]
E. V. Tsiper (1), F. G. Pikus (2), A. L. Efros (1) ((1) University of Utah, (2) University of California at Santa Barbara)
cond-mat/9512158
Stability of the Renormalization Group in the 2D Random Ising and Baxter Models with respect to the Replica Symmetry Breaking
We study the critical properties of the weakly disordered two-dimensional Ising and Baxter models in terms of the renormalization group (RG) theory generalized to take into account the replica symmetry breaking (RSB) effects. Recently it has been shown that the traditional replica-symmetric RG flows in the dimensions $...
1995-12-22
2009-10-28
[ "cond-mat" ]
D.E.Feldman, A.V.Izyumov and Viktor Dotsenko
cond-mat/9512162
Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
We study a model for a quantum Ising spin glass in two space dimensions by Monte Carlo simulations. In the disordered phase at $T=0$, we find power law distributions of the local susceptibility and local non-linear susceptibility, which are characterized by a smoothly varying dynamical exponent $z$. Over a range of the...
1995-12-22
2009-10-28
[ "cond-mat" ]
H. Rieger and A. P. Young
cond-mat/9512151
Hall Coefficient in the doped Mott Insulator
We compute the (zero frequency) Hall coefficient $R_H$, and the high frequency Hall constant $R_H^*$ for the strong coupling Hubbard model away from half-filling, in the $d=\infty$/ local approximation, using the new iterated perturbation scheme proposed by Kajueter and Kotliar. We find quantitative agreement of our $R...
1995-12-22
2007-05-23
[ "cond-mat" ]
Pinaki Majumdar and H. R. Krishnamurthy (IISc Bangalore, India)
cond-mat/9512153
Persistent Currents in Interacting Systems: Role of the Spin
Persistent currents flowing through disordered mesoscopic rings threaded by a magnetic flux are investigated. Models of fermions with on-site interactions (Hubbard model) or models of spinless fermions with nearest neighbor interactions are considered on 2D cylinders with twisted boundary conditions in one direction to...
1995-12-22
2007-05-23
[ "cond-mat" ]
Georges Bouzerar and Didier Poilblanc
cond-mat/9512146
Final state effects on superfluid $^{\bf 4}$He in the deep inelastic regime
A study of Final State Effects (FSE) on the dynamic structure function of superfluid $^4$He in the Gersch--Rodriguez formalism is presented. The main ingredients needed in the calculation are the momentum distribution and the semidiagonal two--body density matrix. The influence of these ground state quantities on the F...
1995-12-21
2009-10-28
[ "cond-mat" ]
F. Mazzanti, J. Boronat and A. Polls
cond-mat/9512148
Charge-Vortex Duality in Double-Layered Josephson Junction Arrays
A system of two parallel Josephson junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry (duality) of the relevant degrees of freedom, i.e. the vortices in one layer and the ...
1995-12-21
2009-10-28
[ "cond-mat" ]
Yaroslav M. Blanter and Gerd Schoen
cond-mat/9512170
Sample-size dependence of the ground-state energy in a one-dimensional localization problem
We study the sample-size dependence of the ground-state energy in a one-dimensional localization problem, based on a supersymmetric quantum mechanical Hamiltonian with random Gaussian potential. We determine, in the form of bounds, the precise form of this dependence and show that the disorder-average ground-state ener...
1995-12-21
2009-10-28
[ "cond-mat" ]
C.Monthus (SPhT, CE Saclay France), G.Oshanin (DPT, IPN Orsay France), A.Comtet (DPT, IPN Orsay France), and S.F.Burlatsky (Seattle, USA)
cond-mat/9512145
Collective Modes in a Symmetry-Broken Phase: Antiferromagnetically Correlated Quantum Wells
We investigate the intersubband spin-density-excitation spectrum of a double quantum well in a low-density symmetry-broken phase with interwell antiferromagnetic correlations. This spectrum is related to the intensity measured in depolarized inelastic light scattering (ILS) experiments and therefore provides a means of...
1995-12-21
2009-10-28
[ "cond-mat" ]
R. J. Radtke and S. Das Sarma
cond-mat/9512142
Quantum Hopfield Model
The Hopfield model in a transverse field is investigated in order to clarify how quantum fluctuations affect the macroscopic behavior of neural networks. Using the Trotter decomposition and the replica method, we find that the $\alpha$ (the ratio of the number of stored patterns to the system size)-$\Delta$ (the streng...
1995-12-21
2008-02-03
[ "cond-mat" ]
Yoshihiko Nonomura and Hidetoshi Nishimori
cond-mat/9512147
Generalized Helimagnets Between Two and Four Dimensions
We study the phase transitions of N-components generalized helimagnets that obey the symmetry breaking pattern O(N) x O(N-1) -> O(N-1)_diag . In the neighborhood of two dimensions, a D=2+epsilon renormalization group study reveals a rich fixed point structure as well as a nematic-like phase with partial spin ordering. ...
1995-12-21
2010-03-25
[ "cond-mat" ]
Francois David and Thierry Jolicoeur
cond-mat/9512144
Ground-State Phase Diagram of the Two-Dimensional Quantum Heisenberg Mattis Model
The two-dimensional $S=1/2$ asymmetric Heisenberg Mattis model is investigated with the exact diagonalization of finite clusters. The N\'eel order parameter and the spin glass order parameter can be smoothly extrapolated to the thermodynamic limit in the antiferromagnetic region, as in the pure Heisenberg antiferromagn...
1995-12-21
2016-08-31
[ "cond-mat" ]
Yoshihiko Nonomura
cond-mat/9512143
Polarons and bipolarons in strongly interacting electron-phonon systems
The Holstein Hubbard and Holstein t--J models are studied for a wide range of phonon frequencies, electron--electron and electron--phonon interaction strengths on finite lattices with up to ten sites by means of direct Lanczos diagonalization. Previously the necessary truncation of the phononic Hilbert space caused ser...
1995-12-21
2009-10-28
[ "cond-mat" ]
G. Wellein, H. R\"oder and H. Fehske
cond-mat/9512139
Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems
We study interacting one dimensional (1D) quantum lattice gases with integrable impurities. These model Hamiltonians can be derived using the quantum inverse scattering method for inhomogeneous models and are by construction integrable. Absence of backscattering at the impurities is shown to be the characteristic featu...
1995-12-20
2020-05-04
[ "cond-mat" ]
A. Punnoose (IISc), H.-P. Eckle (Tours) and R. A. R\"omer (Aachen)
cond-mat/9512140
Spatial scaling in fracture propagation in dilute systems
The geometry of fracture patterns in a dilute elastic network is explored using molecular dynamics simulation. The network in two dimensions is subjected to a uniform strain which drives the fracture to develop by the growth and coalescence of the vacancy clusters in the network. For strong dilution, it has been shown ...
1995-12-20
2015-06-25
[ "cond-mat" ]
P. Ray and G. Date
cond-mat/9512141
Optical Conductivity of a t--J Ladder
The optical conductivity $\sigma(\omega )$ of a doped two-leg t--J ladder is calculated for an electric field polarized parallel to the legs of the ladder. The conductivity has a Drude weight proportional to the hole doping and an apparent threshold for absorption (a pseudo gap) which may be associated with the energy ...
1995-12-20
2009-10-28
[ "cond-mat" ]
C. A. Hayward, D. Poilblanc and D. J. Scalapino
cond-mat/9512134
Theory for the Doping Dependence of Spin Fluctuation Induced Shadow States in High-T$_{c}$ Superconductors
We analyze the doping dependence of the intensity and energetical position of shadow states in high -T$_{c}$ superconductors within the 2D Hubbard model and using our recently developed numerical method for the self consistent summation of bubble and ladder diagrams. It is shown that shadow states resulting from short ...
1995-12-19
2009-10-28
[ "cond-mat" ]
M. Langer, J. Schmalian, S. Grabowski, and K.H. Bennemann
cond-mat/9512136
Metal-insulator transition in highly conducting oriented polymers
We suggest that highly conducting oriented polymers with a fibril structure can be modeled by a regular lattice of disordered metallic wires with a random first-neighbor interwire coupling which mimics the cross-links between fibrils. We show that such a model can be described by a non-linear sigma model. Within a one-...
1995-12-19
2024-10-04
[ "cond-mat" ]
N. Dupuis
cond-mat/9512138
Disordered Flat Phase and Phase Diagram for Restricted Solid on Solid Models of Fcc(110) Surfaces
We discuss the results of a study of restricted solid-on-solid models for fcc (110) surfaces. These models are simple modifications of the exactly solvable BCSOS model, and are able to describe a $(2\times 1)$ missing-row reconstructed surface as well as an unreconstructed surface. They are studied in two different way...
1995-12-19
2009-10-28
[ "cond-mat" ]
G. Santoro, M. Vendruscolo, S. Prestipino, and E. Tosatti
cond-mat/9512137
Finite-Size Scaling and Universality in the Spin 1 Quantum XY Chain
The spin-1 XY chain in a transverse field is studied using finite-size scaling. The ground state phase diagram displays a paramagnetic, an ordered ferromagnetic and an ordered oscillatory phase. The paramagnetic-ferromagnetic transition line belongs to the universality class of the 2D Ising model. Along this line, univ...
1995-12-19
2009-10-28
[ "cond-mat" ]
Walter Hofstetter and Malte Henkel
cond-mat/9512135
Errors in Monte Carlo simulations using shift register random number generators
We report large systematic errors in Monte Carlo simulations of the tricritical Blume-Capel model using single spin Metropolis updating. The error, manifest as a $20\%$ asymmetry in the magnetisation distribution, is traced to the interplay between strong triplet correlations in the shift register random number generat...
1995-12-19
2015-06-25
[ "cond-mat" ]
F. Schmid and N.B. Wilding
cond-mat/9512132
Shadow bands in overdoped Bi_2Sr_2CaCu_2O_{8+x}
We performed angle-resolved photoemission experiments on overdoped single crystal $Bi_2Sr_2CaCu_2O_{8+x}$ samples with Tc values as low as 55K and very narrow transitions as measured by AC susceptibility. The photoemission data indicate the presence of a ``shadow'' peak in the quasiparticle spectral function $A(\omega)...
1995-12-18
2007-05-23
[ "cond-mat" ]
S. La Rosa, R.J. Kelley, C. Kendziora, G. Margaritondo, M. Onellion and A. Chubukov
cond-mat/9512125
Two-electron state in a disordered 2D island: pairing caused by the Coulomb repulsion
We show the existence of bound two-electron states in an almost depleted two-dimensional island. These two-electron states are carried by special compact configurations of four single-electron levels. The existence of these states does not require phonon mediation, and is facilitated by the disorder-induced potential r...
1995-12-18
2009-10-28
[ "cond-mat" ]
M. E. Raikh (1), L. I. Glazman (2), and L. E. Zhukov (1) ((1) Physics Department, University of Utah, (2) Theoretical Physics Institute and Department of Physics, University of Minnesota)
cond-mat/9512130
The Correlated Block Renormalization Group
We formulate the standard real-space renormalization group method in a way which takes into account the correlation between blocks. This is achieved in a dynamical way by means of operators which reflect the influence on a given block of its neighbours. We illustrate our method in the example of the tight-binding model...
1995-12-18
2009-10-28
[ "cond-mat", "hep-th" ]
Miguel A. Martin-Delgado, Javier Rodriguez-Laguna and German Sierra
cond-mat/9512128
On the localization transition in three dimensions: Monte-Carlo simulation of a non-linear $\sigma$-model
We present a combination of analytical and numerical calculations for the critical behavior of a supersymmetric non-linear $\sigma$-model within the context of the localization transition of a disordered one-electron system. As a result, we obtain a localization length exponent and a set of inverse participation number...
1995-12-18
2009-10-28
[ "cond-mat" ]
Thomas Dupr\'e
cond-mat/9512126
Soft X-ray Fluorescence Study of Buried Silicides in Antiferromagnetically Coupled Fe/Si Multilayer
Soft x-ray fluorescence spectroscopy has been employed to obtain information about the Si-derived valence band states of Fe/Si multilayers. The valence band spectra are quite different for films with and without antiferromagnetic interlayer exchange coupling, demonstrating that these multilayers have different silicide...
1995-12-18
2009-10-28
[ "cond-mat" ]
J.A. Carlisle, A. Chaiken, R.P. Michel, L.J. Terminello, J.J. Jia and T.A. Callcott, and D.L. Ederer
cond-mat/9512133
Anisotropic Localization Effect in Layered Materials
We investigate localization properties in the highly anisotropic and intrinsically disordered layered material, which is analogous to high-Tc cuprates. By varying the anisotropy of the system which is parameterized by the interlayer hopping $tp$, we find a crossover from two-dimensional (2D) to three-dimensional (3D) b...
1995-12-18
2009-10-28
[ "cond-mat" ]
Y. Zha and D. Z. Liu
cond-mat/9512131
Raman scattering in a two-layer antiferromagnet
Two--magnon Raman scattering is a useful tool to verify recent suggestions concerning the value of the interplanar exchange constant in antiferromagnetic two--layer systems, such as $YBa_2Cu_3O_{6+x}$. We present a theory for Raman scattering in a two--layer antiferromagnet. We study the spectra for the electronic and ...
1995-12-18
2009-10-28
[ "cond-mat" ]
Dirk K. Morr, Andrey V. Chubukov, Arno P. Kampf and G. Blumberg
cond-mat/9512129
Orientational Glass Transition
The static behavior of orientational glasses is discussed in terms of a replica theory based on the infinite range random bond--random field model. A general version of the model applicable to dipolar and quadrupolar glasses is presented using a symmetry-adapted representation for the order parameter fields. Numerical ...
1995-12-18
2007-05-23
[ "cond-mat" ]
R. Pirc, B. Tadic, and R. Blinc (Jo\v{z}ef Stefan Institute, Ljubljana, Slovenia)
cond-mat/9512127
Subband energy in two-band delta-doped semiconductors
We study electron dynamics in a two-band delta-doped semiconductor within the envelope-function approximation. Using a simple parametrization of the confining potential arising from the ionized donors in the delta-doping layer, we are able to find exact solutions of the Dirac-type equation describing the coupling of ho...
1995-12-18
2009-10-28
[ "cond-mat" ]
F. Dominguez-Adame
cond-mat/9512119
Two Lane Traffic Simulations using Cellular Automata
We examine a simple two lane cellular automaton based upon the single lane CA introduced by Nagel and Schreckenberg. We point out important parameters defining the shape of the fundamental diagram. Moreover we investigate the importance of stochastic elements with respect to real life traffic.
1995-12-15
2015-06-25
[ "cond-mat", "adap-org", "nlin.AO" ]
Marcus Rickert (1 and 2), Kai Nagel (2), Michael Schreckenberg (3), Andreas Latour (4) ((1) Center for Parallel Computing, Cologne, Germany, (2) TSASA, Los Alamos National Lab, (3) Gerhard-Mercator-University, Duisburg, Germany, (4) Institute of Theoretical Physics, University of Cologne, Germany)
cond-mat/9512118
Absence of gap for infinite half--integer spin ladders with an odd number of legs
A proof is presented for the absence of gap for spin $1/2$ ladders with an odd number of legs, in the infinite leg length limit. This result is relevant to the current discussion of coupled one--dimensional spin systems, a physical realization of which are vanadyl pyrophosphate, (VO)$_2$P$_2$O$_7$, and stoichiometric S...
1995-12-15
2009-10-28
[ "cond-mat" ]
A. G. Rojo
cond-mat/9512120
The spectral gap of the ferromagnetic XXZ chain
We prove that the spectral gap of the spin-1/2 ferromagnetic XXZ chain with Hamiltonian $H=-\sum_x S^{(1)}_xS^{(1)}_{x+1}+S^{(2)}_xS^{(2)}_{x+1} +\Delta S^{(3)}_xS^{(3)}_{x+1}$, is given by $\Delta-1$ for all $\Delta\geq 1$. This is the gap in the spectrum of the infinite chain in any of its ground states, the translat...
1995-12-15
2007-05-23
[ "cond-mat" ]
Tohru Koma (Gakushuin University), Bruno Nachtergaele (Princeton University)
cond-mat/9512122
Role of Layering Oscillations at Liquid Metal Surfaces in Bulk Recrystallization and Surface Melting
The contrasting melting behavior of different surface orientations in metals can be explained in terms of a repulsive or attractive effective interaction between the solid-liquid and the liquid-vapor interface. We show how a crucial part of this interaction originates from the layering effects near the liquid metal sur...
1995-12-15
2009-10-28
[ "cond-mat", "mtrl-th" ]
Orio Tomagnini (1), Furio Ercolessi (2 and 3), Simonetta Iarlori (1), Francesco D. Di Tolla (2 and 3), and Erio Tosatti (2, 3 and 4) ((1) IBM-ECSEC, Rome, Italy, (2) INFM, Italy, (3) SISSA-ISAS, Trieste, Italy, (4) ICTP, Trieste, Italy)
cond-mat/9512117
Big bang simulation in superfluid 3He-B -- Vortex nucleation in neutron-irradiated superflow
We report the observation of vortex formation upon the absorption of a thermal neutron in a rotating container of superfluid $^3$He-B. The nuclear reaction n + $^3$He = p + $^3$H + 0.76MeV heats a cigar shaped region of the superfluid into the normal phase. The subsequent cooling of this region back through the superfl...
1995-12-15
2009-10-28
[ "cond-mat", "gr-qc", "hep-th" ]
V.M.H. Ruutu, V.B. Eltsov, A.J. Gill, T.W.B. Kibble, M. Krusius, Yu.G. Makhlin, B. Placais, G.E. Volovik, Wen Xu
cond-mat/9512124
Investigation on the Ground States of a Model Thin-Film Superconductor on a Sphere
We consider the problem of finding the ground state of a model type-II superconductor on the two-dimensional surface of a sphere, penetrated by $N$ vortices. Numerical work shows the ground states to consist of a triangular network of the vortices with twelve five-coordinated centres. Values of $N$ are found with parti...
1995-12-15
2009-10-28
[ "cond-mat" ]
M.J.W. Dodgson (University of Manchester)
cond-mat/9512121
Nonlocal conductivity in the vortex-liquid regime
We investigate the nonlocal conductivity calculated from the time-dependent Ginzburg-Landau equation. When the fluctuations of the vector potential are negligible, the high-temperature (Gaussian) and low-temperature (flux-flow) forms of the uniform conductivity withan an ab plane (sigma_yy) are essentially identical. W...
1995-12-15
2007-05-23
[ "cond-mat" ]
T. Blum and M.A. Moore
cond-mat/9512123
Vortices in a Thin Film Superconductor with a Spherical Geometry
We report results from Monte Carlo simulations of a thin film superconductor in a spherical geometry within the lowest Landau level approximation. We observe the absence of a phase transition to a low temperature vortex solid phase with these boundary conditions; the system remains in the vortex liquid phase for all ac...
1995-12-15
2009-10-28
[ "cond-mat" ]
M.J.W. Dodgson and M.A. Moore (University of Manchester)
cond-mat/9512113
Disclination Asymmetry in Deformable Hexatic Membranes and the Kosterlitz-Thouless Transitions
A disclination in a hexatic membrane favors the development of Gaussian curvature localized near its core. The resulting global structure of the membrane has mean curvature, which is disfavored by curvature energy. Thus a membrane with an isolated disclination undergoes a buckling transition from a flat to a buckled st...
1995-12-14
2009-10-28
[ "cond-mat" ]
Jeong-Man Park and T. C. Lubensky (Univ. of Pennsylvania)
cond-mat/9512112
Erratum: Exact Ground State Energy of the Strong-Coupling Polaron
The polaron has been of interest in condensed matter theory and field theory for about half a century, especially the limit of large coupling constant. It was not until 1983, however, that a proof of the asymptotic formula for the ground state energy was finally given by using difficult arguments involving the large de...
1995-12-14
2009-10-28
[ "cond-mat", "hep-th" ]
E.H. Lieb, L.E. Thomas
cond-mat/9512116
Polymerization in a Ferromagnetic Spin Model with Threshold
We propose a spin model with a new kind of ferromagnetic interaction, which may be called {\it ferromagnetic coupling with threshold}. In this model the contribute of a given spin to the total energy has only two possible values and depends on the number of parallel spins among its nearest and next to the nearest neigh...
1995-12-14
2009-10-28
[ "cond-mat", "hep-th" ]
Emilio N. M. Cirillo, Sebastiano Stramaglia
cond-mat/9512110
Analytical and computational study of magnetization switching in kinetic Ising systems with demagnetizing fields
An important aspect of real ferromagnetic particles is the demagnetizing field resulting from magnetostatic dipole-dipole interaction, which causes large particles to break up into domains. Sufficiently small particles, however, remain single-domain in equilibrium. This makes such small particles of particular interest...
1995-12-14
2008-12-18
[ "cond-mat", "adap-org", "hep-lat", "mtrl-th", "nlin.AO" ]
Howard L. Richards, Mark A. Novotny, and Per Arne Rikvold
cond-mat/9512114
Phonon-drag effects on thermoelectric power
We carry out a calculation of the phonon-drag contribution $S_g$ to the thermoelectric power of bulk semiconductors and quantum well structures for the first time using the balance equation transport theory extended to the weakly nonuniform systems. Introducing wavevector and phonon-mode dependent relaxation times due ...
1995-12-14
2009-10-28
[ "cond-mat" ]
M.W. Wu, N.J.M. Horing, and H.L. Cui
cond-mat/9512115
Comment on "Spatial Correlation in Quantum Chaotic Systems with Time-Reversal Symmetry: Theory and Experiment" by V. N. Prigodin et al [cond-mat/9504089]
We show that the results of Prigodin et al can be reproduced and simplified by making use of Berry's conjecture that the energy eigenfunctions in a quantized chaotic system are gaussian random variables.
1995-12-14
2009-10-28
[ "cond-mat", "chao-dyn", "nlin.CD" ]
Mark Srednicki
cond-mat/9512109
Sine-Gordon Field Theory for the Kosterlitz-Thouless Transitions on Fluctuating Membranes
In the preceding paper, we derived Coulomb-gas and sine-Gordon Hamiltonians to describe the Kosterlitz-Thouless transition on a fluctuating surface. These Hamiltonians contain couplings to Gaussian curvature not found in a rigid flat surface. In this paper, we derive renormalization-group recursion relations for the si...
1995-12-13
2009-10-28
[ "cond-mat" ]
Jeong-Man Park and T. C. Lubensky (Univ. of Pennsylvania)
cond-mat/9512105
Non-magnetic impurity scattering in a $d_{x^2 - y^2}$ superconductor near a van Hove point: Zn versus Ni in the cuprates
We consider the effect of non-magnetic impurities in a $d_{x^2 - y^2}$ superconductor with $\ef$ close to a van Hove singularity. It is shown that the non-trivial density of states (DOS) allows for resonant scattering already at intermediate potential strengths $|u| \approx 1-2$eV. The residual DOS at $\ef$, and the \t...
1995-12-13
2009-10-28
[ "cond-mat", "supr-con" ]
Roland Fehrenbacher
cond-mat/9512101
Topological Order in the Vortex Glass Phase of High-Temperature Superconductors
The stability of a vortex glass phase with quasi-long-range positional order is examined for a disordered layered superconductor. The role of topological defects is investigated using a detailed scaling argument, supplemented by a variational calculation. The results indicate that topological order is preserved for a {...
1995-12-13
2009-10-28
[ "cond-mat" ]
J. Kierfeld, T. Nattermann, T. Hwa
cond-mat/9512106
Quantum transport in a multiwalled carbon nanotube
We report on electrical resistance measurements of an individual carbon nanotube down to a temperature T=20 mK. The conductance exhibits a ln T dependence and saturates at low temperature. A magnetic field applied perpendicular to the tube axis, increases the conductance and produces aperiodic fluctuations. The data fi...
1995-12-13
2009-10-28
[ "cond-mat" ]
L. Langer, V. Bayot, E. Grivei, J.-P. Issi, J.P. Heremans, C.H. Olk, L. Stockman, C. Van Haesendonck, Y. Bruynseraede
cond-mat/9512102
Memory Loss and Auger Processes in a Many Body Theory of Charge Transfer
Charge transfer between hyperthermal alkali atoms and metallic scattering surfaces is an experimental and theoretical arena for many-body interactions. To model new facets, we use a generalized time-dependent Newns-Anderson Hamiltonian which includes electron spin, multiple atomic orbitals with image shifted levels, in...
1995-12-13
2009-10-28
[ "cond-mat", "atom-ph", "chem-ph" ]
A.V. Onufriev and J. B. Marston
cond-mat/9512103
First-principles studies of modulated Co/Cu superlattices with strongly and weakly exchange-biased Co-monolayers leading to a ferrimagnetic ground state
First-principles calculations have been performed in order to determine effective exchange integrals between strongly and weakly exchange-biased Co monolayers in the modulated CoCu$_2$/CoCu$_n$ superlattices. For $3\le n\le 6$ it has been found that the respective exchange integrals have opposite signs and differ for $...
1995-12-13
2007-05-23
[ "cond-mat" ]
S. Krompiewski (1), F. S\"uss (2) and U. Krey (2) ((1) Inst.of Molecular Physics, Polish Academy of Sciences, Poznan, (2) Inst.of Physics II, University of Regensburg, Regensburg)
cond-mat/9512107
Kosterlitz-Thouless Transitions on Fluctuating Surfaces
We investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it. In the former, both disclinations and Gaussian curvature contribute to the charge density. In the latter, there is a linear coupling between a sc...
1995-12-13
2007-05-23
[ "cond-mat" ]
Jeong-Man Park and T.C. Lubensky (University of Pennsylvania)
cond-mat/9512100
Boltzmann equation approach for transport in systems subject to microwave irradiation
We calculate the electronic transport properties of a system which is irradiated by a homogeneous microwave field. Within a Boltzmann equation approach, a general expression for the conductivity tensor is derived and evaluated for a quasi one-dimensional ballistic quantum wire and a two dimensional system with impurity...
1995-12-13
2009-10-28
[ "cond-mat" ]
Tobias Brandes (Gakushuin, Japan)
cond-mat/9512104
Strong coupling probe for the Kardar-Parisi-Zhang equation
We present an exact solution of the {\it deterministic} Kardar-Parisi-Zhang (KPZ) equation under the influence of a local driving force $f$. For substrate dimension $d \le 2$ we recover the well-known result that for arbitrarily small $f>0$, the interface develops a non-zero velocity $v(f)$. Novel behaviour is found in...
1995-12-13
2009-10-28
[ "cond-mat" ]
T.J. Newman, Harald Kallabis
cond-mat/9512108
Topological Defects on Fluctuating Surfaces: General Properties and the Kosterlitz-Thouless Transition
We investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it. The Coulomb-gas Hamiltonian includes charge densities arising from disclinations and from Gaussian curvature. There is an interaction coupling th...
1995-12-13
2009-10-28
[ "cond-mat" ]
Jeong-Man Park and T. C. Lubensky (Univ. of Pennsylvania)
cond-mat/9512091
Quantum Monte Carlo evidence for superconductivity in the three-band Hubbard model in two dimensions
A possibility of the electronic origin of the high-temperature superconductivity in cuprates is probed with the quantum Monte Carlo method by revisiting the three-band Hubbard model comprising Cu$3d_{x^2-y^2}$ and O$2p_\sigma$ orbitals. The $d_{x^2-y^2}$ pairing correlation is found to turn into an increasing function ...
1995-12-12
2009-10-28
[ "cond-mat" ]
Kazuhiko Kuroki, Hideo Aoki
cond-mat/9512089
Electron-phonon interactions on a single-branch quantum Hall edge
We consider the effect of electron-phonon interactions on edge states in quantum Hall systems with a single edge branch. The presence of electron-phonon interactions modifies the single-particle propagator for general quantum Hall edges, and, in particular, destroys the Fermi liquid even at integer filling. The effect ...
1995-12-12
2009-10-28
[ "cond-mat" ]
O. Heinonen, Sebastian Eggert
cond-mat/9512095
Spatial structure of anomalously localized states in disordered conductors
The spatial structure of wave functions of anomalously localized states (ALS) in disordered conductors is studied in the framework of the $\sigma$--model approach. These states are responsible for slowly decaying tails of various distribution functions. In the quasi-one-dimensional case, properties of ALS governing the...
1995-12-12
2009-10-28
[ "cond-mat" ]
Alexander D.Mirlin
cond-mat/9512092
Dynamical Franz-Keldysh effect
We introduce and analyze the properties of dynamical Franz-Keldysh effect, i.e. the change of density-of-states, or absorption spectra, of semiconductors under the influence of {\it time-dependent} electric fields. In the case of a harmonic time-dependence, we predict the occurence of significant fine structure, both b...
1995-12-12
2009-10-28
[ "cond-mat" ]
A. P. Jauho and K. Johnsen (MIC, Tech. Univ. of Denmark)
cond-mat/9512090
Composite quasiparticle formation and the low-energy effective Hamiltonians of the one- and two-dimensional Hubbard Model
We investigate the effect of hole doping on the strong-coupling Hubbard model at half-filling in spatial dimensions $D\ge 1$. We start with an antiferromagnetic mean-field description of the insulating state, and show that doping creates solitons in the antiferromagnetic background. In one dimension, the soliton is top...
1995-12-12
2009-10-28
[ "cond-mat" ]
Junwu Gan, Dung-Hai Lee and Per Hedegard
cond-mat/9512093
Electron Structure Near Abrupt Edges in 2DEG under Strong Magnetic Field
Energies and wave functions of edge states in twodimensional electron gas are evaluated for a finite step potential barrier model. The spectrum, instead of smooth bending of Landau branches in the vicinity of the barrier acquires a steplike form; unexpected edge plateaus and significant energy gap reduction take place ...
1995-12-12
2015-06-25
[ "cond-mat" ]
I.Bartos and B.Rosenstein
cond-mat/9512094
Insulator-to-metal transition in Kondo insulators under strong magnetic field
Magnetization curve and changes of the single-particle excitation spectra by magnetic field are calculated for the periodic Anderson model at half-filling in infinite spatial dimension by using the exact diagonalization method. It is found that the field-induced insulator-to-metal transition occurs at a critical field ...
1995-12-12
2009-10-28
[ "cond-mat" ]
Tetsuro Saso and Masatoshi Itoh (Dept. Physics, Saitama Univ. Japan)
cond-mat/9512096
Magnetic Properties of the t-J Model in the Dynamical Mean-Field Theory
We present a theory for the spin correlation function of the t-J model in the framework of the dynamical mean-field theory. Using this mapping between the lattice and a local model we are able to obtain an intuitive expression for the non-local spin susceptibility, with the corresponding local correlation function as i...
1995-12-12
2009-10-28
[ "cond-mat" ]
Thomas Pruschke, Qi Qin, Thomas Obermeier and Joachim Keller (University of Regensburg, Germany)
cond-mat/9512099
Conformal Field Theory Approach to the Kondo Effect
Recently, a new approach, based on boundary conformal field theory, has been applied to a variety of quantum impurity problems in condensed matter and particle physics. A particularly enlightening example is the multi-channel Kondo problem. In this review some earlier approaches to the Kondo problem are discussed, the ...
1995-12-12
2011-04-15
[ "cond-mat", "hep-th" ]
Ian Affleck
cond-mat/9512098
Destruction of integer quantum Hall effect at strong disorder: A numerical study
A breakdown of integer quantum Hall effect (IQHE) at strong disorder is studied numerically in a lattice model. We find a generic sequence by which the integer quantum Hall plateaus disappear: higher IQHE plateaus always vanish earlier than lower ones. We show that extended levels between these plateaus do not float up...
1995-12-12
2007-05-23
[ "cond-mat" ]
D.N. Sheng, Z. Y. Weng, and Q. Gao
cond-mat/9512081
Signatures of electron correlations in the transport properties of quantum dots
The transition matrix elements between the correlated $N$ and $N\!+\!1$ electron states of a quantum dot are calculated by numerical diagonalization. They are the central ingredient for the linear and non--linear transport properties which we compute using a rate equation. The experimentally observed variations in the ...
1995-12-12
2009-10-28
[ "cond-mat" ]
Kristian Jauregui, Wolfgang H\"ausler, Dietmar Weinmann and Bernhard Kramer
cond-mat/9512097
Mechanism of thermally activated c-axis dissipation in layered High-T$_c$ superconductors at high fields
We propose a simple model which explains experimental behavior of $c$-axis resistivity in layered High-T$_c$ superconductors at high fields in a limited temperature range. It is generally accepted that the in-plane dissipation at low temperatures is caused by small concentration of mobile pancake vortices whose diffusi...
1995-12-12
2009-10-28
[ "cond-mat", "supr-con" ]
A.E. Koshelev
cond-mat/9512087
Time correlations in 1D quantum impurity problems
We develop in this letter an analytical approach using form- factors to compute time dependent correlations in integrable quantum impurity problems. As an example, we obtain for the first time the frequency dependent conductivity $G(\omega)$ for the tunneling between the edges in the $\nu=1/3$ fractional quantum Hall e...
1995-12-12
2009-10-28
[ "cond-mat", "hep-th" ]
F. Lesage, H. Saleur, S. Skorik
cond-mat/9512069
Roughening Transition in a One-Dimensional Growth Process
A class of nonequilibrium models with short-range interactions and sequential updates is presented. The models describe one dimensional growth processes which display a roughening transition between a smooth and a rough phase. This transition is accompanied by spontaneous symmetry breaking, which is described by an ord...
1995-12-11
2009-10-28
[ "cond-mat" ]
Uri Alon, Martin Evans, Haye Hinrichsen and David Mukamel
cond-mat/9512072
Domain Wall in the Spin-S Quantum Ising Chain
Domain walls in the spin S quantum Ising chain at zero temperature are considered. Quantum effects prevent the walls from being sharp and delocalize the exact eigenstates. The absence of a characteristic length of the domain walls is reflected in the finite-size scaling of the spectrum of the Hamiltonian.
1995-12-11
2007-05-23
[ "cond-mat" ]
Malte Henkel
cond-mat/9512088
Bound states and scattering in quantum waveguides coupled laterally through a boundary window
We consider a pair of parallel straight quantum waveguides coupled laterally through a window of a width $ \ell $ in the common boundary. We show that such a system has at least one bound state for any $ \ell>0 $. We find the corresponding eigenvalues and eigenfunctions numerically using the mode--matching method, and ...
1995-12-11
2009-10-28
[ "cond-mat", "quant-ph" ]
P. Exner, P. \v{S}eba, M. Tater, D. Van\v{e}k
cond-mat/9512080
One Dimensional Lattice Models of Electrons with 1/r^2 Hopping and Exchange
This talk reviews some recent progresses in the studies of low dimensional electronic models of strong correlations.
1995-12-11
2007-05-23
[ "cond-mat" ]
Ch. Gruber and D. F. Wang
cond-mat/9512086
Geodesics around a dislocation
One method of gaining some insight into the motion of particles in a medium with topological defects (e.g., electrons in a dislocated metal) is to look at the geodesics of the medium around the defect. In this work the Hamilton-Jacobi equation for the geodesics in a continuous medium containing a torsional defect, an e...
1995-12-11
2009-10-28
[ "cond-mat" ]
Fernando Moraes (IAS, Princeton)
cond-mat/9512070
An algorithm for series expansions based on hierarchical rate equations
We propose a computational method to obtain series expansions in powers of time for general dynamical systems described by a set of hierarchical rate equations. The method is generally applicable to problems in both equilibrium and nonequilibrium statistical mechanics such as random sequential adsorption, diffusion-rea...
1995-12-11
2009-10-28
[ "cond-mat" ]
Chee Kwan Gan and Jian-Sheng Wang (National University of Singapore)
cond-mat/9512085
A magnetic field diagnostic for sonoluminescence
This study is motivated by the extraordinary process of single bubble sonoluminescence (SBSL), where an acoustically driven spherical shock is thought to power the emitted radiation. We propose new experiments using an external magnetic field which can induce anisotropies in both the shock propagation and radiation pat...
1995-12-11
2009-10-28
[ "cond-mat" ]
Tom Chou and Eric G. Blackman (LASSP, Cornell University and Institute of Astronomy, Cambridge University)
cond-mat/9512079
Free Energies of Isolated 5- and 7-fold Disclinations in Hexatic Membranes
We examine the shapes and energies of 5- and 7-fold disclinations in low-temperature hexatic membranes. These defects buckle at different values of the ratio of the bending rigidity, $\kappa$, to the hexatic stiffness constant, $K_A$, suggesting {\em two} distinct Kosterlitz-Thouless defect proliferation temperatures. ...
1995-12-11
2009-10-28
[ "cond-mat" ]
Michael W. Deem (Harvard University), David R. Nelson (Harvard University)
cond-mat/9512083
Low-Energy Excitations in an Incipient Antiferromagnet
We present fully self-consistent calculations in the fluctuation exchange approximation for the half-filled Hubbard model in 2D. A non-fermi liquid state evolves with decreasing temperature in this self-consistent model of coupled spin fluctuations and quasiparticles. The mean field phase transition to long-range antif...
1995-12-11
2015-06-25
[ "cond-mat" ]
D.W. Hess, J.J. Deisz, and J.W. Serene
cond-mat/9512084
Incipient antiferromagnetism and low-energy excitations in the half-filled two-dimensional Hubbard model
We present single-particle and thermodynamic properties of the half-filled single-band Hubbard model in 2D calculated in the self-consistent fluctuation exchange approximation. The low-energy excitations at moderate temperatures and small $U$ are quasiparticles with a short lifetime. As the temperature is lowered, coup...
1995-12-11
2009-10-28
[ "cond-mat" ]
J.J. Deisz(a), D.W. Hess(b), and J.W. Serene(a) ((a) Department of Physics, Georgetown University (b) Complex Systems Theory Branch, Naval Research Laboratory, Washington, D.C)
cond-mat/9512077
Statistics of skyrmions in Quantum Hall systems
We analyze statistical interactions of skyrmions in the quantum Hall system near a critical filling fraction in the framework of the Ginzburg-Landau model. The phase picked up by the wave-function during an exchange of two skyrmions close to $\nu=1/(2n+1)$ is $\pi[S+1/2(2n+1)]$, where $S$ is the skyrmion's spin. In the...
1995-12-11
2009-10-28
[ "cond-mat" ]
Jacek Dziarmaga
cond-mat/9512073
Magnetization of a Diffusive Ring: Beyond the Perturbation Theory
Average persistent current over a set of diffusive metallic rings with fixed number of electrons is considered. We study the the case where the phase breaking time is much greater than an inverse average inter-level distance. In such a situation, many return events for an electron have to be taken into account. As a re...
1995-12-11
2008-02-03
[ "cond-mat" ]
V. V. Afonin and Yu. M. Galperin
cond-mat/9512082
Coulomb Blockade of Tunneling Through a Double Quantum Dot
We study the Coulomb blockade of tunneling through a double quantum dot. The temperature dependence of the linear conductance is strongly affected by the inter-dot tunneling. As the tunneling grows, a crossover from temperature-independent peak conductance to a power-law suppression of conductance at low temperatures i...
1995-12-11
2009-10-28
[ "cond-mat" ]
K.A. Matveev (MIT), L.I. Glazman (U. Minn.), and H.U. Baranger (Bell Labs)
cond-mat/9512074
On the Phase Diagram of the q->1 Extended Potts Model and Lattice Animal Collapse
The phase diagram of the two-dimensional extended q-states Potts model is investigated in the q->1 limit. This is equivalent to studying the phase diagram of a two-dimensional infinite interacting lattice animal. An exact solution on the Bethe lattice and a Migdal-Kadanoff renormalization group calculation predict a li...
1995-12-11
2007-05-23
[ "cond-mat" ]
Malte Henkel