Dispersive hopping transport via sites having a Gaussian distribution of energies

Abstract

Abstract The Monte Carlo technique has been employed to simulate hopping transport through a Gaussian energy distribution of hopping sites located on a cubic lattice having a nearest-neighbour distance of 10−7 cm. Dispersive transport is observed at temperatures where the width of the Gaussian [sgrave] > kT and for electric fields where eE x 10−7/[sgrave] < 1. The dispersive regime is observed over a considerable range in the average number of jumps and in this range both ⟨x⟩ and ⟨x 2⟩ can be described by a mobility and a diffusion constant which are proportional to t α–1 and where α is a function of electric field and [sgrave]/kT.