Band-center anomaly of the conductance distribution in one-dimensional Anderson localization

2002/08/23 by H. Schomerus, M. Titov
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.67.100201

published as Phys. Rev. B 67, 100201(R) (2003) · 4 pages, 3 figures

arxiv created 2002/08/23 · arxiv updated 2009/11/30

Abstract

We analyze the conductance distribution function in the one-dimensional Anderson model of localization, for arbitrary energy. For energy at the band center the distribution function deviates from the universal form assumed in single-parameter scaling theory. A direct link to the break-down of the random-phase approximation is established. Our findings are confirmed by a parameter-free comparison to the results of numerical simulations.

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