Statistics of Rare Events in Disordered Conductors

Abstract

Asymptotic behavior of distribution functions of local quantities in disordered conductors is studied in the weak disorder limit by means of an optimal fluctuation method. It is argued that this method is more appropriate for the study of seldom occurring events than the approaches based on nonlinear $\sigma$-models because it is capable of correctly handling fluctuations of the random potential with large amplitude as well as the short-scale structure of the corresponding solutions of the Schrödinger equation. For two- and three-dimensional conductors new asymptotics of the distribution functions are obtained which in some cases differ significantly from previously established results.

17 pages, REVTeX 3.0 and 1 Postscript figure

References in corpus (4)

• Nearly Localized States in Weakly Disordered Conductor
• Experimental studies of Chaos and Localization in Quantum Wavefunctions
• Multifractality: generic property of eigenstates of 2D disordered metals.
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