Universality of the critical conductance distribution in various dimensions

Details Universality of the critical conductance distribution in various dimensions Universality of the critical conductance distribution in various dimensions

2001-08-07

arxiv.org/abs/cond-mat/0108110v1

Phys. Rev. B 65 (2002) 113109

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevB.65.113109

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 $\nu$ and the critical conductance distribution are calculated. We confirm that $\nu$ 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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