Brownian-motion model for parametric correlations in the spectra of disordered metals
- 28 June 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (26) , 4126-4129
- https://doi.org/10.1103/physrevlett.70.4126
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 [A. Szafer and B. L. Altshuler, Phys. Rev. Lett. 70, 587 (1993)]. This establishes the validity of Dyson’s basic assumption, that parametric correlations in the energy spectrum are dominated by ‘‘level repulsion,’’ and therefore soley dependent on the symmetry of the Hamiltonian.Keywords
This publication has 15 references indexed in Scilit:
- Universal correlation in the spectra of disordered systems with an Aharonov-Bohm fluxPhysical Review Letters, 1993
- Transitions between universality classes of random matricesPhysical Review Letters, 1990
- Self-consistent perturbation theory for random matrix ensemblesJournal of Physics A: General Physics, 1990
- Stochastic formulation of energy-level statisticsPhysical Review A, 1988
- Random matrix theory in semiclassical quantum mechanics of chaotic systemsJournal of Physics A: General Physics, 1988
- Supersymmetry and theory of disordered metalsAdvances in Physics, 1983
- A Class of Matrix EnsemblesJournal of Mathematical Physics, 1972
- Random Matrices in PhysicsSIAM Review, 1967
- The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum MechanicsJournal of Mathematical Physics, 1962
- A Brownian-Motion Model for the Eigenvalues of a Random MatrixJournal of Mathematical Physics, 1962