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The Mechanism of Localization in Weakly Coupled Disordered Grains

2009/06/01 by Sacksteder, Vincent E.
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.0906.0206

Abstract

It is shown that the Wegner model of disorder contains a system of constraints which is important whenever the disorder is not weak and which is responsible for localization in D > 2 dimensions. When the disorder is strong the constraints divide the phase space into an exponentially large number of domains; the localized phase is a glass. This work is based on recently developed field theories which are exactly equivalent to the Wegner model and to an easier variant.

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