TOPOLOGY OF AN INFINITE CLUSTER IN THE THEORY OF PERCOLATION AND ITS RELATIONSHIP TO THE THEORY OF HOPPING CONDUCTION.

A. S. Skal, B. I. Shklovskii

Research output: Contribution to journalArticle

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Abstract

Qualitative and quantitative information on the topology and characteristic lengths of an infinite cluster in the theory of percolation is obtained by numerical experiments on a computer. A new concept of the correlation radius of an infinite cluster is introduced. The topology of an infinite cluster is used to find the preexponential factor in the expression for the hopping resistivity of a lightly doped semiconductor.

Original languageEnglish (US)
Pages (from-to)1029-1032
Number of pages4
JournalSov Phys Semicond
Volume8
Issue number8
StatePublished - Jan 1 1975

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