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Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles

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Published Article
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DOI: 10.1088/0953-8984/17/10/020
arXiv ID: cond-mat/0401129
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arXiv
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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 $\to$ 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.

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