The probability distribution of the conductance at the mobility edge

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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3 pages RevTeX, 6 figures included, submitted to Physica B

Scientific paper

10.1016/S0921-4526(00)00774-2

The probability distribution of the conductance p(g) of disordered 2d and 3d
systems is calculated by transfer matrix techniques. As expected, p(g) is
Gaussian for extended states while for localized states it is log-normal. We
find that at the mobility edge p(g) is highly asymmetric and universal.

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