Dimension dependence of the conductance distribution in the non-metallic regimes

Abstract

We study numerically the form of the conductance distribution in the non-metallic regime for (1) weakly disordered systems which become insulating due to increase of the system length and (2) cubic d-dimensional systems, in which localization occours due to the increase of the disorder strength. In the three dimensional systems, we prove that the one-channel approximation of the conductance in the insulating regime is not sufficient. Obtained statistics of the conductance indicates that the one-parameter scaling holds also in the strongly insulating regime.