Level Correlations for Metal-Insulator Transition

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the level-statistics of a disordered system undergoing the Anderson type metal-insulator transition. The disordered Hamiltonian is a sparse random matrix in the site representation and the statistics is obtained by taking an ensemble of such matrices. It is shown that the transition of levels due to change of various parameters e.g. disorder, system size, hopping rate can be mapped to the perturbation driven evolution of the eigenvalues of an ensemble subjected to Wigner-Dyson type perturbation with an initial state given by a Poisson ensemble; the mapping is then used to obtain desired level-correlations.
Latex file, 7 pages, No figures

Keywords

Disordered Systems and Neural Networks, Mesoscale and Nanoscale Physics, Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/17277

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0101321
 http://arxiv.org/abs/cond-mat/0101321

Collections

arXiv