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Localization of Phonons in Two Component Superlattice with Random Thicknesses of the Layers

David G. Sedrakyan, Ara G. Sedrakyan

cond-mat.dis-nnarXiv:cond-mat/9810329

Abstract

Two component superlattice film of 2N layers is considered and dimensionally quantised spectrum of phonon-s is found. The problem of localization of phonon-s in the superlattice with random thicknesses of the layers is investigated. The Landauer resistance of the transport of phonon-s is calculated exactly. For short range disorder the numerical analyses shows, that at frequency ω=0, there is delocalized state and the correlation length index νis equal to 2.

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