Random-Matrix Theory of Parametric Correlations in the Spectra of Disordered Metals and Chaotic Billiards

Preprint

28 October 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9310068

Abstract

We study the response to an external perturbation of the energy levels of a disordered metallic particle, by means of the Brownian-motion model introduced by Dyson in the theory of random matrices, and reproduce the results of a recent microscopic theory of Altshuler, Simons, and Szafer. This establishes the validity of Dyson's basic assumption, that parametric correlations in the energy spectrum are dominated by level repulsion, and therefore solely dependent on the symmetry of the hamiltonian. ***Submitted to Physica A.****

Keywords

PARAMETRIC CORRELATIONS
DISORDERED METALLIC
CHAOTIC BILLIARDS
ENERGY LEVELS
MATRIX THEORY
RANDOM MATRIX
DYSON'S
THEORY
METALS

All Related Versions

Version 1, 1993-10-28, ArXiv
Published version: Physica A: Statistical Mechanics and its Applications, 203 (1), 61.

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