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Theory of hopping conduction by the path-probability method.

Based on the pair approximation of the path-probability method, the frequency-dependent conductivity sigma(..omega..) 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 sigma(..omega..) 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.