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arXiv · 0910.4692

Distribution of conductance for Anderson Insulators: A theory with a single parameter

Andrew Douglas·K. A. Muttalib
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Abstract

We obtain an analytic expression for the full distribution of conductance for a strongly disordered three dimensional conductor within a perturbative approach based on the transfer-matrix formulation. Our results confirm numerical evidence that the log-normal limit of the distribution is not reached even in the deeply insulating regime. We show that the variance of the logarithm of the conductance scales as a fractional power of the mean, while the skewness changes sign as one approaches the Anderson metal-insulator transition from the deeply insulating limit, all described as a function of a single parameter. The approach suggests a possible single parameter description of the Anderson transition that takes into account the full nontrivial distribution of conductance.

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Andrew Douglas, K. A. Muttalib. 2009-10-25. Distribution of conductance for Anderson Insulators: A theory with a single parameter. https://doi.org/10.1103/physrevb.80.161102

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