Level-Statistics of Disordered Systems: a Single Parametric Formulation
Disordered Systems and Neural Networks
2009-09-29 v1 Mesoscale and Nanoscale Physics
Abstract
We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders behaves in a way similar to that of the single parametric Brownian ensembles. The latter appear during aPoisson Wigner-Dyson transition, driven by a random perturbation. The analogy provides the analytical evidence for the single parameter scaling behaviour in disordered systems as well as a tool to obtain the level-correlations at the critical point for a wide range of disorders.
Cite
@article{arxiv.cond-mat/0210021,
title = {Level-Statistics of Disordered Systems: a Single Parametric Formulation},
author = {Pragya Shukla},
journal= {arXiv preprint arXiv:cond-mat/0210021},
year = {2009}
}
Comments
4 Pages, 4 Figures