Abstract

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

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