Theory of hopping conduction by the path-probability method

Abstract
Based on the pair approximation of the path-probability method, the frequency-dependent conductivity σ(ω) is formulated both in the ordered and in the disordered phase in a binary system. Especially in the disordered phase, the effects of pair correlation on σ(ω) are analytically shown and discussed. The present method is found to provide information in a more organized way than in the commonly adopted master-equation method.

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