Abstract

The localization of one-electron states in the large (but finite) disorder limit is investigated. The inverse participation number shows a nonmonotonic behavior as a function of energy owing to the anomalous behavior of few-site localization. The two-site approximation is solved analytically and is shown to capture the essential features found in numerical simulations on one-, two-, and three-dimensional systems. Further improvement has been obtained by solving a three-site model.

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