The conductivity of strongly disordered two-dimensional systems

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Abstract
The self-consistent current relaxation theory proposed for a microscopic analysis of the dynamical behaviour of strongly disordered systems is applied to evaluate the frequency-dependent conductivity of a non-interacting electron gas moving in a two-dimensional random potential. The resulting non-linear equations for the current relaxation kernel are solved numerically and discussed analytically. The influence of long-range potential fluctuations as opposed to short-range ones on the relevant conductivity scale is elucidated. The results for the temperature-dependent conductivity are compared quantitatively with a number of experimental data exhibiting a conductor to non-conductor transition.