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Level-Statistics of Disordered Systems: a Single Parametric Formulation

Pragya Shukla
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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 $\to$ 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.

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Pragya Shukla. 2002-10-01. Level-Statistics of Disordered Systems: a Single Parametric Formulation. https://arxiv.org/abs/cond-mat/0210021

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