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Original Articles

A Monte Carlo investigation of the nearest-available-neighbour distribution in three dimensions A model for electron-hole recombination in semiconductors

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Pages 329-342 | Received 14 Apr 1987, Accepted 20 Jul 1987, Published online: 20 Aug 2006
 

Abstract

A Monte Carlo calculation is presented of the range-dependent survival probability of an initially randomly distributed electron-hole population recombining according to a nearest-available-neighbour rule. It confirms a previous prediction of an asymptotic power-law behaviour in three dimensions, with exponent −(3/2). The distribution of surviving electrons and holes in the asymptotic region takes the form of two interlacing electron and hole networks. The relevance of the nearest-available-neighbour recombination model as an approximation to real systems is discussed.

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