Showing papers by "Alexander D. Mirlin published in 1995"
TL;DR: The distribution of eigenfunction amplitudes and the variance of the inverse participation ratio (IPR) in disordered metallic samples are calculated and a relation is established between the distribution function of the IPR and that of level velocitiesparametric derivatives of energy levels with respect to a random perturbation.
Abstract: We calculate the distribution of eigenfunction amplitudes and the variance of the inverse participation ratio (IPR) in disordered metallic samples. A relation is established between the distribution function of the IPR and that of level velocities\char22{}parametric derivatives of energy levels with respect to a random perturbation.
81 citations
TL;DR: The random banded matrices whose diagonal elements fluctuate much stronger than the off-diagonal ones were introduced recently by Shepelyansky as a convenient model for coherent propagation of two interacting particles in a random potential are treated analytically by using the mapping onto the same supersymmetric nonlinear $\sigma-$model, but with renormalized parameters.
Abstract: The random banded matrices (RBM) whose diagonal elements fluctuate much stronger than the off-diagonal ones were introduced recently by Shepelyansky as a convenient model for coherent propagation of two interacting particles in a random potential. We treat the problem analytically by using the mapping onto the same supersymmetric nonlinear $\sigma-$model that appeared earlier in consideration of the standard RBM ensemble, but with renormalized parameters. A Lorentzian form of the local density of states and a two-scale spatial structure of the eigenfunctions revealed recently by Jacquod and Shepelyansky are confirmed by direct calculation of the distribution of eigenfunction components.
51 citations
TL;DR: In this article, the authors considered the single-particle relaxation rate of 2D electrons subject to a random magnetic field and showed that the broadening of the Landau levels does not depend on magnetic field.
Abstract: We consider the single-particle relaxation rate of 2D electrons subject to a random magnetic field. The density-of-states (DOS) oscillations in a uniform magnetic field (in addition to a random one) are studied. We define a gauge-invariant single-particle relaxation time as a parameter describing the amplitude of DOS oscillations. Unlike the conventional case of random potential scattering, the broadening of the Landau levels does not depend on magnetic field.
20 citations
TL;DR: It is shown that in the vicinity of the Anderson transition as well as in two dimensions, the variance of the number of levels in an energy band of a width E has a linear behavior as a function of E.
Abstract: We present a detailed analysis of the behavior of the two-level correlation function R(s) in the disordered sample. We show that in the vicinity of the Anderson transition as well as in two dimensions, the variance of the number of levels in an energy band of a width E has a linear behavior as a function of E. This is related with an ``anomalous'' contribution to the sum rule for R(s), which comes from the ``ballistic'' region of s.
16 citations
TL;DR: A theory of magneto-oscillations around the 1/2 Landau level filling factor based on a model with a fluctuating Chern-Simons field is presented, in good qualitative agreement with available experimental data, although the experimental value of the amplitude of oscillations exceeds considerably the theoretical estimate.
Abstract: We present a theory of magneto-oscillations around the \ensuremath{
u}=1/2 Landau level filling factor based on a model with a fluctuating Chern-Simons field. The quasiclassical treatment of the problem is appropriate and leads to an unconventional exp[-(\ensuremath{\pi}/${\mathrm{\ensuremath{\omega}}}_{\mathit{c}}$${\mathrm{\ensuremath{\tau}}}_{1/2}^{\mathrm{*}}$${)}^{4}$] behavior of the amplitude of oscillations. This result is in good qualitative agreement with available experimental data, although the experimental value of ${\mathrm{\ensuremath{\tau}}}_{1/2}^{\mathrm{*}}$ exceeds considerably our theoretical estimate.
11 citations
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TL;DR: In this paper, a quasiclassical method based on the path integral formalism was developed to study the influence of disorder on magnetooscillations of the density of states and conductivity.
Abstract: We develop a quasiclassical method based on the path integral formalism, to study the influence of disorder on magnetooscillations of the density of states and conductivity. The treatment is appropriate for electron systems in the presence of a random potential with large correlation length or a random magnetic field, which are characterisitic features of various 2D electronic systems presently studied in experiment. In particular, we study the system of composite fermions in the fractional quantum Hall effect device, which are coupled to the Chern--Simons field and subject to a long--range random potential.
6 citations
01 Jan 1995
TL;DR: In this article, the influence of a random magnetic field on the properties of a charged quantum particle in 2D was considered and a model of spin-charge separation in high-T c superconductors was proposed.
Abstract: In this paper we consider the influence of a random magnetic field on the properties of a charged quantum particle in 2 dimensions. This problem has attracted considerable interest in recent years [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], due to several reasons. First of all, models of this type are supposed to describe effectively a number of important physical systems, such as a state with spin-charge separation in high-T c superconductors [1, 2] and a quantum Hall system near the filling factor v = 1/2 [3,4]. In addition, the direct experimental realization of static random magnetic field has been reported recently [5].
1 citations