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Level and Eigenfunction Statistics in Billiards with Surface Scattering
Ya. M. Blanter, A. D. Mirlin, B. A. Muzykantskii
Statistical properties of billiards with diffusive boundary scattering are investigated by means of the supersymmetric sigma-model in a formulation appropriate for chaotic ballisti…
Non-adiabatic scattering of a classical particle in an inhomogeneous magnetic field
F. Evers, A. D. Mirlin, D. G. Polyakov +1
We study the violation of the adiabaticity of the electron dynamics in a slowly varying magnetic field. We formulate and solve exactly a non-adiabatic scattering problem. In partic…
Intensity distribution for waves in disordered media: deviations from Rayleigh statistics
A. D. Mirlin, R. Pnini, B. Shapiro
We study the intensity distribution function, P(I), for monochromatic waves propagating in quasi one-dimensional disordered medium, assuming that a point source and a point detecto…
Weiss Oscillations in Surface Acoustic Wave Propagation
Y. Levinson, O. Entin-Wohlman, A. D. Mirlin +1
The interaction of a surface acoustic wave (SAW) with a a two-dimensional electron gas in a periodic electric potential and a classical magnetic field is considered. We calculate t…
Quantum corrections to the conductivity of fermion - gauge field models: Application to half filled Landau level and high- superconductors
A. D. Mirlin, P. Woelfle
We calculate the Altshuler-Aronov type quantum correction to the conductivity of charge carriers in a random potential (or random magnetic field) coupled to a transverse gauge…
Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices
Alexander D. Mirlin, Yan V. Fyodorov, Frank-Michael Dittes +2
We study statistical properties of the ensemble of large random matrices whose entries decrease in a power-law fashion . Mapping the pro…
Correlations of Eigenfunctions in Disordered Systems
Ya. M. Blanter, A. D. Mirlin
Correlations of eigenfunctions, , in a disordered system are investigated. We derive general formulae expressing these correlation functions…
Phase Transition in a Model with Non-Compact Symmetry on Bethe Lattice and the Replica Limit
Ilya A. Gruzberg, Alexander D. Mirlin
We solve nonlinear vector model on Bethe lattice and show that it exhibits a transition from ordered to disordered state for . If the replica limit …
Spatial structure of anomalously localized states in disordered conductors
Alexander D. Mirlin
The spatial structure of wave functions of anomalously localized states (ALS) in disordered conductors is studied in the framework of the --model approach. These states are resp…
Gor'kov and Eliashberg Linear Response Theory: Rigorous Derivation and Limits of Applicability
Ya. M. Blanter, A. D. Mirlin
A rigorous microscopic calculation of the polarizability of disordered mesoscopic particles within the grand canonical ensemble is given in terms of the supersymmetry method. The p…
Long--time relaxation of current in a 2D weakly disordered conductor
Alexander D. Mirlin
The long-time relaxation of the average conductance in a 2D mesoscopic sample is studied within the method recently suggested by Muzykantskii and Khmelnitskii and based on a saddle…
Distribution of local density of states in disordered metallic samples: logarithmically normal asymptotics
A. D. Mirlin
Asymptotical behavior of the distribution function of local density of states (LDOS) in disordered metallic samples is studied with making use of the supersymmetric --model appr…
Statistical Properties of Random Banded Matrices with Strongly Fluctuating Diagonal Elements
Yan V. Fyodorov, Alexander D. Mirlin
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 coher…
Theory of Shubnikov--De Haas Oscillations Around the Filling Factor of the Landau Level: Effect of Gauge Field Fluctuations
A. G. Aronov, E. Altshuler, A. D. Mirlin +1
We present a theory of magnetooscillations around the Landau level filling factor based on a model with a fluctuating Chern--Simons field. The quasiclassical treatment of t…
Level Statistics in a Metallic Sample: Corrections to the Wigner-Dyson Distribution
Vladimir E. Kravtsov, Alexander D. Mirlin
Deviation of the level correlation function in a mesoscopic metallic sample from the Wigner--Dyson distribution is calculated by using a combination of the renormalization group an…
Localization of Charged Quantum Particles in a Static Random Magnetic Field
A. G. Aronov, A. D. Mirlin, P. Woelfle
We consider a charged quantum particle in a random magnetic field with Gaussian, delta-correlated statistics. We show that although the single particle properties are peculiar, two…