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

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

1993-10-28

arxiv.org/abs/cond-mat/9310068v1

Physica A 203 (1994) 61

Physics

Condensed Matter

24 pages, REVTeX-3.0, INLO-PUB-931028c

Scientific paper

10.1016/0378-4371(94)90032-9

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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