A Monte Carlo study of r-e-hopping transient currents in thin dielectric layers with macroscopicallynon-homogeneous spatial distritribution of hopping centres centres

The authors report the results of the Monte Carlo simulation of the time-of-flight experiment for variable-range hopping transport in thin dielectric layers, which are spatially inhomogeneous on the macroscopic scale (i.e. on a scale comparable with the layer thickness). In particular, the total density of hopping centres (with Gaussian distribution in energy) is assumed to change exponentially as a function of the distance from the contacts. The results of simulations performed for various system dilutions, various widths of the Gaussian distribution in energy, and various degrees of the layer spatial nonuniformity are discussed.