Conductance distribution in 3D Anderson insulators: deviation from log-normal form

Details Conductance distribution in 3D Anderson insulators: deviation from log-normal form Conductance distribution in 3D Anderson insulators: deviation from log-normal form

2004-10-14

arxiv.org/abs/cond-mat/0410372v1

Europhys. Lett. vol. 68, pp 867-873 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1209/epl/i2004-10289-y

We 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.

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