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Universality of the critical conductance distribution in various dimensions

Igor Travenec·Peter Markos
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Abstract

We study numerically the metal - insulator transition in the Anderson model on various lattices with dimension $2 < d \le 4$ (bifractals and Euclidian lattices). The critical exponent $ν$ and the critical conductance distribution are calculated. We confirm that $ν$ depends only on the {\it spectral} dimension. The other parameters - critical disorder, critical conductance distribution and conductance cummulants - depend also on lattice topology. Thus only qualitative comparison with theoretical formulae for dimension dependence of the cummulants is possible.

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Igor Travenec, Peter Markos. 2001-08-07. Universality of the critical conductance distribution in various dimensions. https://doi.org/10.1103/physrevb.65.113109

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