Conduction in a random lattice under a potential gradient

Abstract

A quasiclassical approach is adopted to find the time of traversal of a carrier across a random lattice. It is shown that probability distributions of the stable type are involved and that means and variances may be infinite under certain conditions of site spacing. These probability distributions are employed to find the spectral density of current or conductivity fluctuations which appear to be consistent with the observations on thin films and semiconductor devices.