The probability distribution of the conductance at the mobility edge

Marc Ruhlander, C. M. Soukoulis

Published 2000-10-31Version 1

The probability distribution of the conductance p(g) of disordered 2d and 3d systems is calculated by transfer matrix techniques. As expected, p(g) is Gaussian for extended states while for localized states it is log-normal. We find that at the mobility edge p(g) is highly asymmetric and universal.