The statistics of the conductance in two- and three-dimensional disordered systems

Publisher Website
Google Scholar
Abstract
The statistical properties of the conductance of disordered two- and three-dimensional systems are examined by numerical means. It is found that, as in one dimension, the distributions are not well behaved when the eigenstates are expected to be localised. For strongly localised states the variance of the distribution increases exponentially with system size or disorder, irrespective of dimensionality. The authors results indicate that the bulk of the distribution may be characterised by one parameter in the regime where scaling is expected to be valid. The degree to which conductance fluctuations are related to fluctuations in the density of states is explored, and it is found that these will also lead to exponentially divergent fluctuations in the conductance at zero temperature.

This publication has 7 references indexed in Scilit: