Universality of the critical conductance distribution in various dimensions
Igor Travenec, Peter Markos
Abstract
We study numerically the metal - insulator transition in the Anderson model on various lattices with dimension 2 < d 4 (bifractals and Euclidian lattices). The critical exponent ν and the critical conductance distribution are calculated. We confirm that ν depends only on the 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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