Authors: Maass P.; Rinn B.; Schirmacher W.

Source: Philosophical Magazine B, Volume 79, Numbers 11-12, 1 November 1999 , pp. 1915-1922(8)

Publisher: Taylor and Francis Ltd

Abstract:

An effective medium approximation is given for single-particle hopping in lattices with site energy disorder. Based on this approximation the frequency dependent diffusion coefficient is calculated for a uniform distribution of site energies and the results compared with Monte Carlo simulations. Although the approximation gives a fairly good account of the overall frequency dependence, generally it fails to reproduce the correct zero-frequency limit of the diffusion coefficient. This failure may be resolved by a proper rescaling of the temperature in the effective medium. Possible extensions of the theory are pointed out.

Document Type: Research article

DOI: http://dx.doi.org/10.1080/014186399256060

Publication date: 1999-11-01

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