Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles
Statistical Mechanics
2009-11-10 v2
Abstract
We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders and non-interacting electrons behaves in a way similar to that of the single parametric Brownian ensembles \cite{dy}. The latter appear during a Poisson Wigner-Dyson transition, driven by a random perturbation. The analogy provides the analytical evidence for the single parameter scaling of the level-correlations in disordered systems as well as a tool to obtain them at the critical point for a wide range of disorders.
Keywords
Cite
@article{arxiv.cond-mat/0401129,
title = {Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles},
author = {Pragya Shukla},
journal= {arXiv preprint arXiv:cond-mat/0401129},
year = {2009}
}
Comments
19 Pages, 10 Figures, Published Version