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26 April 2024
 
  » arxiv » cond-mat/0410372

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Conductance distribution in 3D Anderson insulators: deviation from log-normal form
P. Markos ; K. A. Muttalib ; P. Wolfle ; J. R. Klauder ;
Date 14 Oct 2004
Journal Europhys. Lett. vol. 68, pp 867-873 (2004)
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
AbstractWe show how a recent proposal to obtain the distribution of conductances in three dimensions (3D) from a generalized Fokker-Planck equation for the joint probability distribution of the transmission eigenvalues can be implemented for all strengths of disorder by numerically evaluating certain correlations of transfer matrices. We then use this method to obtain analytically, for the first time, the 3D conductance distribution in the insulating regime and provide a simple understanding of why it differs qualitatively from the log-normal distribution of a quasi one-dimensional wire.
Source arXiv, cond-mat/0410372
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