Localization of Phonons in Two Component Superlattice with Random Thicknesses of the Layers
arXiv:cond-mat/9810329 · doi:10.1103/PhysRevB.60.10114
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.
15 pages, 2 figures