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Random-matrix theory of parametric correlations in the spectra of disordered metals and chaotic billiards

1993/10/28 by C. W. J. Beenakker, B. Rejaei · 3 citations
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1016/0378-4371(94)90032-9

published as Physica A 203 (1994) 61 · 24 pages, REVTeX-3.0, INLO-PUB-931028c

arxiv created 1993/10/28 · openalex publication_date 1994/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.****

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