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6,500
Quantum transport in semiconductor-superconductor microjunctions
cond-mat.mes-hall
Recent experiments on conduction between a semiconductor and a superconductor have revealed a variety of new mesoscopic phenomena. Here is a review of the present status of this rapidly developing field. A scattering theory is described which leads to a conductance formula analogous to Landauer's formula in normal-stat...
physics
6,501
Mode-Locking in Quantum-Hall-Effect Point Contacts
cond-mat.mes-hall
We study the effect of an ac drive on the current-voltage (I-V) characteristics of a tunnel junction between two fractional Quantum Hall fluids at filling $\nu ^{-1}$ an odd integer. Within the chiral Luttinger liquid model of edge states, the point contact dynamics is described by a driven damped quantum mechanical pe...
physics
6,502
Spectral Fluctuations in Disordered Metals
cond-mat.mes-hall
This is a review of the properties of spectral fluctations in disordered metals, their relation with Random Matrix Theory and semiclassical picture. We also review the physics of persistent currents in mesoscopic isolated rings, the parametric correlations and curvature distributions.
physics
6,503
Ultrasmall double junction in terms of orthogonal polynomials
cond-mat.mes-hall
The ``orthodox theory'' of a single electron double junction is dealt with. It is shown that the stationary solution of the underlying master equation allows the construction of any time-dependent solution in terms of orthogonal polynomials. The approach pays off if the stationary solution becomes simple. Two special c...
physics
6,504
Inelastic Electron Lifetime in Disordered Mesoscopic Systems
cond-mat.mes-hall
The inelastic quasiparticle lifetime due to the electron-electron interaction (out-scattering time in the kinetic equation formalism) is calculated for finite metallic diffusive systems (quantum dots) in the whole range of parameters. Both cases of ``continuous'' (the inelastic level broadening much exceeds the mean le...
physics
6,505
Surface acoustic wave attenuation by a two-dimensional electron gas in a strong magnetic field
cond-mat.mes-hall
The propagation of a surface acoustic wave (SAW) on GaAs/AlGaAs heterostructures is studied in the case where the two-dimensional electron gas (2DEG) is subject to a strong magnetic field and a smooth random potential with correlation length Lambda and amplitude Delta. The electron wave functions are described in a qua...
physics
6,506
Correlated ground states with (spontaneously) broken time-reversal symmetry
cond-mat.mes-hall
We propose a self-consistent scheme for the determination of the ground-state (GS) properties of interacting electrons in a magnetic field, and of systems whose GS's time-reversal-symmetry (TRS) is spontaneously broken. It is based on a newly-developed many-body perturbation theory that is valid, irrespective of the st...
physics
6,507
Statistics of skyrmions and the 5/2 puzzle
cond-mat.mes-hall
1) For the hard core interaction there is some freedom left in the choice of the exact multiskyrmionic wave function's topology. The statistics of textured quasiholes, analyzed by calculation of the Berry phase, depends on this choice of topology. 2) We find a class of textured two-hole eigenstates of the Coulomb int...
physics
6,508
Transport through a single-band wire connected to measuring leads
cond-mat.mes-hall
Transport through a one-dimensional wire of interacting electrons connected to semi infinite leads is investigated using a bosonization approach. The dynamic nonlocal conductivity is rigorously expressed in terms of the transmission. For abrupt variations of the interaction parameters at the junctions, an incident elec...
physics
6,509
Spin-Excitation-Instability-Induced Quantum Phase Transitions in Double-Layer Quantum Hall Systems
cond-mat.mes-hall
We study intersubband spin density collective modes in double-layer quantum Hall systems at $\nu=2$ within the time-dependent Hartree-Fock approximation. We find that these intersubband spin density excitations may soften under experimentally accessible conditions, signaling a phase transition to a new quantum Hall sta...
physics
6,510
Addition Spectrum Oscillations of Fractional Quantum Hall Dots
cond-mat.mes-hall
Quantum dots in the fractional quantum Hall regime are studied using a Hartree formulation of composite fermion theory. Under appropriate conditions the chemical potential of the dots will oscillate periodically with B due to the transfer of composite fermions between quasi-Landau bands. This effect is analogous to the...
physics
6,511
Measurement of the conductance distribution function at a quantum Hall transition
cond-mat.mes-hall
We study experimentally the reproducible conductance fluctuations between the quantum Hall plateaus in the conductance of two-terminal submicron silicon MOSFETs. For the dramatic fluctuations at the insulator-to-first-plateau transition we find a conductance distribution that is approximately uniform between zero and $...
physics
6,512
Theory of Photoluminescence of the $ν=1$ Quantum Hall State: Excitons, Spin-Waves and Spin-Textures
cond-mat.mes-hall
We study the theory of intrinsic photoluminescence of two-dimensional electron systems in the vicinity of the $\nu=1$ quantum Hall state. We focus predominantly on the recombination of a band of initial ``excitonic states'' that are the low-lying energy states of our model at $\nu=1$. It is shown that the recombination...
physics
6,513
Coherent photon assisted cotunneling in a Coulomb blockade device
cond-mat.mes-hall
We study cotunneling in a double junction Coulomb blockade device under the influence of time dependent potentials. It is shown that the ac-bias leads to photon assisted cotunneling which in some cases may dominate the transport. We derive a general non-perturbative expression for the tunneling current in the presence ...
physics
6,514
Spectral correlations in disordered mesoscopic metals and their relevance for persistent currents
cond-mat.mes-hall
We use the Lanczos method to calculate the variance of the number of energy levels in an energy window of width E below the Fermi energy for non-interacting disordered electrons on a thin three-dimensional ring threaded by an Aharonov-Bohm flux . We find that for small E the flux-dependent part of the variance is well ...
physics
6,515
Symmetry-breaking skyrmion states in fractional quantum Hall systems
cond-mat.mes-hall
We calculate in an analyical fashion the energies and net spins of skyrmions in fractional quantum Hall systems, based on the suggestion that skyrmion states are spontaneously $L_Z$ and $S_Z$ symmetry-breaking states. The quasihole-skyrmion state with a charge $-e/3$ around $\nu$ = 1/3, where the ground state is known ...
physics
6,516
Statistical properties of the low-temperature conductance peak-heights for Corbino discs in the quantum Hall regime
cond-mat.mes-hall
A recent theory has provided a possible explanation for the ``non-universal scaling'' of the low-temperature conductance (and conductivity) peak-heights of two-dimensional electron systems in the integer and fractional quantum Hall regimes. This explanation is based on the hypothesis that samples which show this behavi...
physics
6,517
Critical Conductance and Its Fluctuations at Integer Hall Plateau Transitions
cond-mat.mes-hall
Under periodic boundary condition in the transverse direction, we calculate the averaged zero-temperature two-terminal conductance ($<G>$) and its statistical fluctuations ($<(\dg)^{2n}>$ for $n\le 4$) at the critical point of integer quantum Hall plateau transitions. We find {\it universal} values for $<G>=(0.58\pm0.0...
physics
6,518
Theory of anyon excitons: Relation to excitons of nu=1/3 and nu=2/3 incompressible liquids
cond-mat.mes-hall
Elementary excitations of incompressible quantum liquids (IQL's) are anyons, i.e., quasiparticles carrying fractional charges and obeying fractional statistics. To find out how the properties of these quasiparticles manifest themselves in the optical spectra, we have developed the anyon exciton model (AEM) and compared...
physics
6,519
Conductance fluctuations at the integer quantum Hall plateau transition
cond-mat.mes-hall
We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a two-terminal conductance G for square samples, considering both periodic and open boundary ...
physics
6,520
Coulomb drag in mesoscopic rings
cond-mat.mes-hall
We develop a Luttinger liquid theory of the Coulomb drag of persistent currents flowing in concentric mesoscopic rings, by incorporating non-linear corrections to the electron dispersion relation. We demonstrate that at low temperatures, interactions between electrons in different rings generate an additional phase and...
physics
6,521
Fluctuations of Conductance Peak Spacings in the Coulomb Blockade Regime: Role of Electron-Electron Interaction
cond-mat.mes-hall
We study influence of electron-electron interaction on statistics of Coulomb blockade peak spacings in disordered quantum dots. It is shown that the interaction combined with fluctuations of eigenfunctions of the Fermi sea, enhances the peak spacing fluctuations, in accordance with recent experiments. In addition, acco...
physics
6,522
The Quantum Hall Effect of Interacting Electrons in a Periodic Potential
cond-mat.mes-hall
We consider the influence of an external periodic potential on the fractional quantum Hall effect of two-dimensional interacting electron systems. For many electrons on a torus, we find that the splitting of incompressible ground state degeneracies by a weak external potential diminishes as $\exp ( - L/ \xi)$ at large ...
physics
6,523
Admittance and Nonlinear Transport in Quantum Wires, Point Contacts, and Resonant Tunneling Barriers
cond-mat.mes-hall
We present a discussion of the admittance (ac-conductance) and nonlinear I-V-characteristic for a number of mesoscopic conductors. Our approach is based on a generalization of the scattering approach which now includes the effects of the (long-range) Coulomb interaction. We discuss the admittance of a wire with an impu...
physics
6,524
Transport in a one-dimensional Luttinger liquid
cond-mat.mes-hall
In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects of a single (or perhaps several) spatially localized impurities. Even with thes...
physics
6,525
Hopf term and the effective Lagrangian for the Skyrmions in a two-dimensional electron gas at small g-factor
cond-mat.mes-hall
We study interacting electrons in two dimensions moving in the lowest Landau level under the condition that the Zeeman energy is much smaller than the Coulomb energy and the filling factor is one. In this case, Skyrmion quasiparticles play an important role. Here, we present a simple and transparent derivation of the c...
physics
6,526
Exact density of states of a two-dimensional electron gas in a strong magnetic field and a long-range correlated random potential
cond-mat.mes-hall
We derive an exact result for the averaged Feynman propagator and the corresponding density of states of an electron in two dimensions in a perpendicular homogeneous magnetic field and a Gaussian random potential with long-range spatial correlations described by a quadratic correlation function.
physics
6,527
nu=1/2 quantum Hall effect in the Aharonov-Casher geometry in a mesoscopic ring
cond-mat.mes-hall
We study the effect of an electric charge in the middle of a ring of electrons in a magnetic field such as $\nu = 1/2$. In the absence of the central charge, a residual current should appear due to an Aharanov-Bohm effect. As the charge varies, periodic currents should appear in the ring. We evaluate the amplitude of t...
physics
6,528
Classical and Quantum Chaos in a quantum dot in time-periodic magnetic fields
cond-mat.mes-hall
We investigate the classical and quantum dynamics of an electron confined to a circular quantum dot in the presence of homogeneous $B_{dc}+B_{ac}$ magnetic fields. The classical motion shows a transition to chaotic behavior depending on the ratio $\epsilon=B_{ac}/B_{dc}$ of field magnitudes and the cyclotron frequency ...
physics
6,529
Electron dynamics in intentionally disordered semiconductor superlattices
cond-mat.mes-hall
We study the dynamical behavior of disordered quantum-well-based semiconductor superlattices where the disorder is intentional and short-range correlated. We show that, whereas the transmission time of a particle grows exponentially with the number of wells in an usual disordered superlattice for any value of the incid...
physics
6,530
Magneto-polarisability of mesoscopic rings
cond-mat.mes-hall
We calculate the average polarisability of two dimensional mesoscopic rings in the presence of an Aharonov-Bohm flux. The screening is taken into account self-consistently within a mean-field approximation. We investigate the effects of statistical ensemble, finite frequency and disorder. We emphasize geometrical effec...
physics
6,531
Duality Near Quantum Hall Transitions
cond-mat.mes-hall
A recent experiment by Shahar et al, on the phase transitions between quantum Hall states and the insulator, found that the current-voltage characteristics in the two phases are related by symmetry. It was suggested in this work that this is evidence for charge-flux duality near quantum Hall transitions. Here we provid...
physics
6,532
Electron Capture into Quantum Wells via Scattering by Electrons, Holes, and Optical Phonons
cond-mat.mes-hall
Electron capture times due to the electron-electron (e-e), electron-hole (e-h) and electron-polar optical phonon (e-pop) interactions are calculated in the GaAs quantum well (QW) with electron and hole densities 10^11 cm^-2. The calculated capture times oscillate as a function of the QW width with the same period but w...
physics
6,533
Landau level mixing and spin degeneracy in the quantum Hall effect
cond-mat.mes-hall
We study dynamics of electrons in a magnetic field using a network model with two channels per link with random mixing in a random intrachannel potential; the channels represent either two Landau levels or two spin states. We consider channel mixing as function of the energy separation of the two extended states and sh...
physics
6,534
Impact of interface roughness on perpendicular transport and domain formation in superlattices
cond-mat.mes-hall
A microscopic calculation of the perpendicular current in doped multiple quantum wells is presented. Interface roughness is shown to affect the resonant transitions as well as to cause a nonresonant background current. The theoretical characteristics exhibit several branches due to the formation of electric field domai...
physics
6,535
Microscopic modelling of perpendicular electronic transport in doped multiple quantum wells
cond-mat.mes-hall
We present a microscopic calculation of transport in strongly doped superlattices where domain formation is likely to occur. Our theoretical method is based on a current formula involving the spectral functions of the system, and thus allows, in principle, a systematic investigation of various interaction mechanisms. T...
physics
6,536
Multifractality beyond the Parabolic Approximation: Deviations from the Log-normal Distribution at Criticality in Quantum Hall Systems
cond-mat.mes-hall
Based on differences of generalized R\'enyi entropies nontrivial constraints on the shape of the distribution function of broadly distributed observables are derived introducing a new parameter in order to quantify the deviation from lognormality. As a test example the properties of the two--measure random Cantor set a...
physics
6,537
Dynamical phenomena in Fibonacci Semiconductor Superlattices
cond-mat.mes-hall
We present a detailed study of the dynamics of electronic wavepackets in Fibonacci semiconductor superlattices, both in flat band conditions and subject to homogeneous electric fields perpendicular to the layers. Coherent propagation of electrons is described by means of a scalar Hamiltonian using the effective-mass ap...
physics
6,538
Charge-Relaxation and Dwell Time in the fluctuating Admittance of a Chaotic Cavity
cond-mat.mes-hall
We consider the admittance of a chaotic quantum dot, capacitively coupled to a gate and connected to two electron reservoirs by multichannel ballistic point contacts. For a dot in the regime of weak-localization and universal conductance fluctuations, we calculate the average and variance of the admittance using random...
physics
6,539
Exact shape of the lowest Landau level in a spin-1/2 system with uncorrelated disorders
cond-mat.mes-hall
Using the path-integral approach developed by Br\'ezin et al. [ Nucl.Phys.B235, 24 (1984) ], we obtain an analytical expression for the density of states of a spin-1/2 disordered two-dimensional electron gas in a strong, perpendicular magnetic field. The density of states of this system illustrates the interplay betwee...
physics
6,540
Nonlinearity in NS transport: scattering matrix approach
cond-mat.mes-hall
A general formula for the current through a disordered normal--superconducting junction is derived, which is valid at finite temperature and includes the full voltage dependence. The result depends on a multichannel scattering matrix, which describes elastic scattering in the normal region, and accounts for the Andreev...
physics
6,541
Hofstadter Rules and Generalized Dimensions of the Spectrum of Harper's Equation
cond-mat.mes-hall
We consider the Harper model which describes two dimensional Bloch electrons in a magnetic field. For irrational flux through the unit-cell the corresponding energy spectrum is known to be a Cantor set with multifractal properties. In order to relate the maximal and minimal fractal dimension of the spectrum of Harper's...
physics
6,542
Persistent currents in continuous one-dimensional disordered rings within the Hartree--Fock approximation
cond-mat.mes-hall
We present numerical results for the zero temperature persistent currents carried by interacting spinless electrons in disordered one dimensional continuous rings. The disorder potential is described by a collection of delta-functions at random locations and strengths. The calculations are performed by a self-consisten...
physics
6,543
Suppresion of Bloch oscillations by weak disorder in semiconductor superlattices
cond-mat.mes-hall
We investigate the dephasing dynamics of Bloch oscillations in semiconductor superlattices by means of a very simple model including disorder and applied electric fields. A thorough numerical study of our model allows us to claim that small, unintentional well width fluctuations can be responsible for fast dephasing of...
physics
6,544
Persistent Current in an Artificial Quantum Dot Molecule
cond-mat.mes-hall
Using an exact diagonalization technique within a generalized Mott-Hubbard Hamiltonian, we predict the existence of a ground state persistent current in coherent two-dimensional semiconductor quantum dot arrays pierced by an external magnetic flux. The calculated persistent current, which arises from the nontrivial dep...
physics
6,545
Interaction effects in multi-subband quantum wires
cond-mat.mes-hall
We investigate the effect of electron-electron interactions on the transport properties of disordered quasi one-dimensional quantum wires with two or more subbands occupied. We apply two alternative methods to solve the logarithmic divergent problem, namely the parquet graph theory and a renormalization group calculati...
physics
6,546
Compressibility, capacitance and ground state energy fluctuations in a weakly interacting quantum dot
cond-mat.mes-hall
We study the effect of electron-electron (e-e) interactions on compressibility, capacitance and inverse compressibility of electrons in a quantum dot or a small metallic grain. The calculation is performed in the random-phase approximation. As expected, the ensemble-averaged compressibility and capacitance decreases as...
physics
6,547
Effect of Umklapp Scattering on the Conductance in Quantum Wires
cond-mat.mes-hall
We investigate the system-size dependence as well as the temperature dependence of the conductance in 1D electron systems, paying particular attention to the effect of Umklapp scattering. By taking into account the renormalization of the external potential due to electron-electron interaction, the correction to the con...
physics
6,548
Microscopic analytical theory of a correlated, two-dimensional N-electron gas in a magnetic field
cond-mat.mes-hall
We present a microscopic, analytical theory describing a confined N-electron gas in two dimensions subject to an external magnetic field. The number of electrons N and strength of the electron-electron interaction can be arbitrarily large, and all Landau levels are included implicitly. A possible connection with the In...
physics
6,549
Comment on ``New Class of Resonances at the Edge of the Two-Dimensional Electron Gas:'' self-consistent electronic structure
cond-mat.mes-hall
Self-consistent electronic structure calculations, for devices recently fabricated and studied by Zhitenev et al. for capacitance spectroscopy in the quantum Hall regime, demonstrate that reproducible resonances in the coupling between adiabatically free edge states and isolated ``puddles'' of electrons of higher filli...
physics
6,550
Landau level bosonization of a 2D electron gas
cond-mat.mes-hall
In this work we introduce a bosonization scheme for the low energy excitations of a 2D interacting electron gas in the presence of an uniform magnetic field under conditions where a large integral number of Landau levels are filled. We give an explicit construction for the electron operator in terms of the bosons. We s...
physics
6,551
A different view of the quantum Hall plateau-to-plateau transitions
cond-mat.mes-hall
We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other completely filled Landau levels, each contributing a single unit of quantum conductan...
physics
6,552
Chiral Metal as a Heisenberg Ferromagnet
cond-mat.mes-hall
The two dimensional surface of an integer quantum hall multilayer is mapped onto a Heisenberg spin-chain with ferromagnetic coupling. Using this mapping it is shown non-perturbatively that the surface states constitute a very anisotropic metal in the infinite size limit. For multilayers of finite size, two diffusive me...
physics
6,553
Topological Excitations in Double-Layer Quantum Hall systems
cond-mat.mes-hall
Double-layer quantum Hall systems with spontaneous broken symmetry can exhibit a novel manybody quantum Hall effect due to the strong interlayer coherence. When the layer separation becomes close to the critical value, quantum fluctuations can destroy the interlayer coherence and the quantum Hall effect will disappear....
physics
6,554
Current Carrying States in a Random Magnetic Field
cond-mat.mes-hall
We report results of a numerical study of noninteracting electrons moving in two dimensions, in the presence of a random potential and a random magnetic field for a sequence of finite sizes, using topological properties of the wave functions to identify extended states. Our results are consistent with the existence of ...
physics
6,555
Coulomb blockade threshold in inhomogeneous one-dimensional arrays of tunnel junctions
cond-mat.mes-hall
A general expression is given for the change in free energy when a charge tunnels through a junction in a one-dimensional array of N metallic islands with arbitrary capacitances and arbitrary background charges. This is used to obtain expressions for the (average) threshold voltage of the Coulomb blockade for a few cha...
physics
6,556
Level Curvatures and Conductances: A Numerical Study of the Thouless Relation
cond-mat.mes-hall
The Thouless conjecture states that the average conductance of a disordered metallic sample in the diffusive regime can be related to the sensitivity of the sample's spectrum to a change in the boundary conditions. Here we present results of a direct numerical study of the conjecture for the Anderson model. They were o...
physics
6,557
Current noise, electron-electron interactions, and quantum interference
cond-mat.mes-hall
It is shown that electron-electron interactions lead to a novel quantum-interference contribution to non-equilibrium current noise in mesoscopic conductors. The corresponding noise spectrum is obtained in detail for diffusive systems. It is found to be quadratic in the applied voltage and to exhibit a power-law frequen...
physics
6,558
Skyrmions in Quantum Hall Systems with Realistic Force-Laws
cond-mat.mes-hall
We study the charged excitations of quantum Hall systems at integer filling fractions $\nu=2n+1$, for a force-law that takes account of the finite width of the electron gas. For typical values of this width, in the limit of vanishing Zeeman energy we find that the low-energy excitations are ``skyrmions'' not only at $\...
physics
6,559
Spectral Function Analysis of Fermi Liquids and of Composite Fermions in a Finite Magnetic Field: Renormalised Gaps
cond-mat.mes-hall
We consider the self-energy and quasiparticle spectrum, for both electrons interacting with phonons, and composite fermions interacting with gauge fluctuations. In both cases we incorporate the singular structure arising from Landau level quantization in a finite field. This is then used to determine the renormalised g...
physics
6,560
Electron Refrigeration in the Tunneling Approach
cond-mat.mes-hall
The qualities of electron refrigeration by means of tunnel junctions between superconducting and normal--metal electrodes are studied theoretically. A suitable approximation of the basic expression for the heat current across those tunnel junctions allows the investigation of several features of the device such as its ...
physics
6,561
A new uncertainty Relation (revised version)
cond-mat.mes-hall
We formulate according to the quantum mechanical uncertainty relation a new quantum electrodynamical uncertainty relation $\Delta \breve{A} . \Delta l \sim \hbar/e$ where $\breve{A}$ and $\Delta l \geq l_B$ are the electromagnetic pure gauge potential, the position uncertainty and the magnetic length, respectively. The...
physics
6,562
Scaling Behavior and Universality near the Quantum Hall Transition
cond-mat.mes-hall
A two-dimensional lattice system of non-interacting electrons in a homogeneous magnetic field with half a flux quantum per plaquette and a random potential is considered. For the large scale behavior a supersymmetric theory with collective fields is constructed and studied within saddle point approximation and fluctuat...
physics
6,563
Electron-Hole Correlation in Fractional Quantum Hall Systems
cond-mat.mes-hall
The 2D system of electron confined to the lowest Landau level is described using a representation of the density matrix depending both on electron and hole coordinates. Condensation of the electron system into a fractional quantum Hall state is associated to clustering of particle and hole coordinates. The correlation ...
physics
6,564
Quantum Fluctuations in the Equilibrium State of a Thin Superconducting Loop
cond-mat.mes-hall
We study the oscillatory flux dependence of the supercurrent in a thin superconducting loop, closed by a Josephson junction. Quantum fluctuations of the order parameter in the loop affect the shape and renormalize the amplitude of the supercurrent oscillations. In a short loop, the amplitude of the sinusoidal flux depe...
physics
6,565
Diagrammatic analysis of the two-state quantum Hall system with chiral invariance
cond-mat.mes-hall
The quantum Hall system in the lowest Landau level with Zeeman term is studied by a two-state model, which has a chiral invariance. Using a diagrammatic analysis, we examine this two-state model with random impurity scattering, and find the exact value of the conductivity at the Zeeman energy $E = \Delta$. We further s...
physics
6,566
Plasmons, Magnetoplasmons and the ν= 1/2 Quantum Hall Effect
cond-mat.mes-hall
We address the problem of separating the short-distance, high-energy physics of cyclotron motion from the long- distance, low-energy physics within the Lowest Landau Level in field theoretic treatments of the Fractional Quantum Hall Effect. We illustrate our method for the case $\nu =1/2$. By a sequence of field transf...
physics
6,567
Nonuniversal Critical Conductance Fluctuations of Chiral Surface States in the Bulk Integral Quantum Hall Effect -- An Exact Calculation
cond-mat.mes-hall
The chiral surface electrons in the bulk quantum Hall effect probably form the first extended system in which conductance fluctuations can be calculated non-perturbatively in the presence of disorder. By use of the Kubo formula with appropriate boundary conditions, we calculate exactly the variance of conductance with ...
physics
6,568
Quasi-particle behavior of composite fermions in the half-filled Landau level
cond-mat.mes-hall
We calculate the effect of infrared fluctuations of the Chern-Simons gauge field on the single-particle Green's function of composite fermions in the half-filled Landau level via higher-dimensional bosonization on a curved Fermi surface. We find that composite fermions remain well-defined quasi-particles, with an effec...
physics
6,569
Shot noise in mesoscopic systems
cond-mat.mes-hall
This is a review of shot noise, the time-dependent fluctuations in the electrical current due to the discreteness of the electron charge, in small conductors. The shot-noise power can be smaller than that of a Poisson process as a result of correlations in the electron transmission imposed by the Pauli principle. This ...
physics
6,570
N electrons in a quantum dot: Two-point Pade approximants
cond-mat.mes-hall
We present analytic estimates for the energy levels of N electrons (N = 2 - 5) in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the confinement plane. The relevant scaled energy is shown to be a smooth function of the parameter \beta=(effective Rydberg/effective dot energy)^{1/...
physics
6,571
Orbital Magnetism in Two-dimensional Integrable Systems
cond-mat.mes-hall
We study orbital magnetism of a degenerate electron gas in a number of two-dimensional integrable systems, within linear response theory. There are three relevant energy scales: typical level spacing, the energy related to the inverse time of flight across the system, and the Fermi energy. Correspondingly, there are th...
physics
6,572
Reflection symmetry at a B=0 metal-insulator transition in two dimensions
cond-mat.mes-hall
We report a remarkable symmetry between the resistivity and conductivity on opposite sides of the B=0 metal-insulator transition in a two-dimensional electron gas in high-mobility silicon MOSFET's. This symmetry implies that the transport mechanisms on the two sides are related.
physics
6,573
Quantum Transport in Two-Channel Fractional Quantum Hall Edges
cond-mat.mes-hall
We study the effect of backward scatterings in the tunneling at a point contact between the edges of a second level hierarchical fractional quantum Hall states. A universal scaling dimension of the tunneling conductance is obtained only when both of the edge channels propagate in the same direction. It is shown that th...
physics
6,574
Skyrmion Liquid Phase of the Quantum Ferromagnet in Two Dimensions
cond-mat.mes-hall
The two-dimensional quantum ferromagnet filled with a liquid of skyrmions is studied theoretically in the context of the quantum Hall effect near electronic filling factor $\nu = 1$. A cross-over between the classical ferromagnetic phase at $\nu =1$ and a classical paramagnetic phase at $\nu \neq 1$ is obtained, which ...
physics
6,575
Photoluminescence signature of skyrmions at ν= 1
cond-mat.mes-hall
The photoluminescence spectrum of quantized Hall states near filling factor \nu = 1 is investigated theoretically. For \nu >= 1 the spectrum consists of a right-circularly polarized (RCP) line and a left-circularly polarized (LCP) line, whose mean energy: (1) does not depend on the electron g factor for spin-1/2 quasie...
physics
6,576
Anomalous temperature dependence of the supercurrent through a chaotic Josephson junction
cond-mat.mes-hall
We calculate the supercurrent through a Josephson junction consisting of a phase-coherent metal particle (quantum dot), weakly coupled to two superconductors. The classical motion in the quantum dot is assumed to be chaotic on time scales greater than the ergodic time $\tau_{erg}$, which itself is much smaller than the...
physics
6,577
Corrections to the universal behavior of the Coulomb-blockade peak splitting for quantum dots separated by a finite barrier
cond-mat.mes-hall
Building upon earlier work on the relation between the dimensionless interdot channel conductance g and the fractional Coulomb-blockade peak splitting f for two electrostatically equivalent dots, we calculate the leading correction that results from an interdot tunneling barrier that is not a delta-function but, rather...
physics
6,578
An exact expression of the collective excitation energy gap of fractional quantum Hall effect
cond-mat.mes-hall
We have exactly solved the eigenequation of a two-dimensional Dirac fermion moving on the surface of a sphere under the influence of a radial magnetic field B, and obtained an exact expression of the collective excitation energy gap for the filling factors $\nu=p/(2mp\pm 1)$, m and p are non-zero integers, which is ver...
physics
6,579
Electric field effects in Fibonacci superlaticces
cond-mat.mes-hall
We present a throughout study of transmission and localization properties of Fibonacci superlattices, both in flat band conditions and subject to homogeneous electric fields perpendicular to the layers. We use the transfer matrix formalism to determine the transmission coefficient and the degree of localization of the ...
physics
6,580
Nonequilibrium transport and population inversion in double quantum dot systems
cond-mat.mes-hall
We present a microscopic theory for both equilibrium and nonequilibrium transport properties of coupled double quantum dots (DQD). A general formula for current tunneling through the DQD is derived by the nonequilibrium Green's function method. Using a Hartree-Fock approach, effects of multi-level coupling and nonequil...
physics
6,581
Nonlinear Transport through Coupled Double Quantum Dot Systems
cond-mat.mes-hall
We investigate sequential tunneling transport through a semiconductor double quantum dot structure by combining a simple microscopic quantum confinement model with a Mott-Hubbard type correlation model. We calculate nonperturbatively the evolution of the Coulomb blockade oscillations as a function of the interdot barri...
physics
6,582
Quantum interference from sums over closed paths for electrons on a three-dimensional lattice in a magnetic field: total energy, magnetic moment, and orbital susceptibility
cond-mat.mes-hall
We study quantum interference effects due to electron motion on a three-dimensional cubic lattice in a continuously-tunable magnetic field of arbitrary orientation and magnitude. These effects arise from the interference between magnetic phase factors associated with different electron closed paths. The sums of these p...
physics
6,583
Analytical results on quantum interference and magnetoconductance for strongly localized electrons in a magnetic field: Exact summation of forward-scattering paths
cond-mat.mes-hall
We study quantum interference effects on the transition strength for strongly localized electrons hopping on 2D square and 3D cubic lattices in the presence of a magnetic field B. These effects arise from the interference between phase factors associated with different electron paths connecting two distinct sites. For ...
physics
6,584
Thermal activation of exclusonic quasiparticles in the fractional quantum Hall effect
cond-mat.mes-hall
Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this note we study the effects of exclusion statistics on thermal activation of quasiparticle pairs in the approximation of generalized ideal gas. The distribution function for thermally activated quasipart...
physics
6,585
Interaction dependence of composite fermion effective masses
cond-mat.mes-hall
We estimate the composite fermion effective mass for a general two particle potential r^{-\alpha} using exact diagonalization for polarized electrons in the lowest Landau level on a sphere. Our data for the ground state energy at filling fraction \nu=1/2 as well as estimates of the excitation gap at \nu=1/3, 2/5 and 3/...
physics
6,586
Spectral Compressibility at the Metal-Insulator Transition of the Quantum Hall Effect
cond-mat.mes-hall
The spectral properties of a disordered electronic system at the metal-insulator transition point are investigated numerically. A recently derived relation between the anomalous diffusion exponent $\eta$ and the spectral compressibility $\chi$ at the mobility edge, $\chi=\eta/2d$, is confirmed for the integer quantum H...
physics
6,587
Mesoscopic Behavior Near a Two-Dimensional Metal-Insulator Transition
cond-mat.mes-hall
We study conductance fluctuations in a two-dimensional electron gas as a function of chemical potential (or gate voltage) from the strongly insulating to the metallic regime. Power spectra of the fluctuations decay with two distinct exponents (1/v_l and 1/v_h). For conductivity $\sigma\sim 0.1 e^{2}/h$, we find a third...
physics
6,588
Coulomb drag in double layer electron systems at even denominator filling factors
cond-mat.mes-hall
An interacting double layer system, with uniform positive background, is studied at finite temperature in the presense of a strong magnetic field corresponding to half filling in each layer. By mapping this system to composite fermions in zero field, we investigate the momentum transfer rate between the layers. As a re...
physics
6,589
Impurity bands and sequential resonant tunneling in the presence of terahertz fields
cond-mat.mes-hall
A theoretical and experimental study of transport in a low doped multiple quantum well structure shows that impurity bands are essential in understanding the electronic transport both with and without terahertz irradiation. A full self-contained model, which involves only the nominal parameters of the sample, agrees qu...
physics
6,590
Electron conduction within Landau level tails of medium-mobility GaAs / AlGaAs heterostructures
cond-mat.mes-hall
The temperature dependence of both components of the resistivity tensor $\varrho_{xx}(T)$ and $\varrho_{xy}(T)$ has been studied at T $\geq$ 4.2 K within IQHE plateaux around filling factors \nu=2 and \nu=4 of medium- -mobility GaAs/AlGaAs heterostructures. In the middle of the mobility gap standard activated conductiv...
physics
6,591
Boundary Conditions for Bulk and Edge States in Quantum Hall Systems
cond-mat.mes-hall
For two dimensional Schroedinger Hamiltonians we formulate boundary conditions that split the Hilbert space according to the chirality of the eigenstates on the boundary. With magnetic fields, and in particular, for Quantum Hall Systems, this splitting corresponds to edge and bulk states. Applications to the integer an...
physics
6,592
Resistivity due to a Domain Wall in Ferromagnetic Metal
cond-mat.mes-hall
The resistivity due to a domain wall in ferromagnetic metallic wire is calculated based on the linear response theory. The interaction between conduction electrons and the wall is expressed in terms of a classical gauge field which is introduced by the local gauge transformation in the electron spin space. It is shown ...
physics
6,593
Fine structure in the off-resonance conductance of small Coulomb blockade systems
cond-mat.mes-hall
We show how a fine, multiple-peak structure can arise in the off-resonance, zero-bias conductance of Coulomb blockade systems. In order to understand how this effect comes about one must abandon the orthodox, mean-field understanding of the Coulomb blockade phenomenon and consider quantum fluctuations in the occupation...
physics
6,594
Generalized thermodynamic potentials for mesoscopic conductors in the presence of transport
cond-mat.mes-hall
It is shown that the nonequilibrium steady-state of a phase-coherent conductor can be described by a generalized thermodynamic potential based on the concept of partial densities of states. This is possible due to the fact that dissipation takes place only in the contacts for the emitted carriers. Long-range Coulomb in...
physics
6,595
Transition from ν=8/5 to ν=5/3 in the low Zeeman energy limit
cond-mat.mes-hall
Skyrmions in the FQHE at filling fractions above \nu=1/3 are studied within the anyon model and by exact diagonalization. Relations to the composite fermion theory are pointed out. We find that unpolarized quasiparticles above \nu=1/3 are stable below B\approx 0.02T. At low Zeeman energy the polarization in the range \...
physics
6,596
Screening of persistent currents in mesoscopic metal rings
cond-mat.mes-hall
The effect of the Coulomb-interaction on persistent currents in disordered mesoscopic metal rings threaded by a magnetic flux $\phi$ is studied numerically. We use the simplest form of ``self-consistent'' Hartree theory, where the spatial variations of the self-consistent Hartree potential are ignored. In this approxim...
physics
6,597
Quantum Coulomb Blockade in Chaotic Systems
cond-mat.mes-hall
We study the Coulomb blockade in a chaotic cavity connected to a lead by a perfectly transmitting quantum channel. In contrast to the previous theories, we show that the quantum fluctuations of charge, resulting from the perfect transmission, do not destroy the Coulomb blockade completely. The oscillatory dependence of...
physics
6,598
Quantum Intermittency in Almost-Periodic Lattice Systems Derived from their Spectral Properties
cond-mat.mes-hall
Hamiltonian tridiagonal matrices characterized by multi-fractal spectral measures in the family of Iterated Function Systems can be constructed by a recursive technique here described. We prove that these Hamiltonians are almost-periodic. They are suited to describe quantum lattice systems with nearest neighbours coupl...
physics
6,599
Non-Fermi-Liquid Behavior of Compressible States of Electrons on the Lowest Landau Level
cond-mat.mes-hall
Experiments show that at even denominator fractions (EDFs) ($\nu=1/2, 3/4, 3/2$,...) the two-dimensional electron gas in a strong magnetic field becomes compressible, has no energy gap, and demonstrates the presence of an ostensible Fermi surface. Since this phenomenon results from a minimization of the interaction, ra...
physics