Theory of One-Dimensional Hopping Conductivity

Abstract
The frequency-dependent conductivity σ(ω) in a one-dimensional hopping-model system, formed of two sublattices with one species of particles, is investigated by means of the three-site approximation of the path probability method (PPM) and the Monte Carlo simulation (MCS). In a strong-coupling case, where the two-site approximation is rather in poor agreement with the MCS, the three-site approximation is satisfactory enough to reproduce the MCS within the present model.

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