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

摘要

Two component superlattice film of 2N layers is considered and dimensionallyquantised spectrum of phonon-s is found. The problem of localization ofphonon-s in the superlattice with random thicknesses of the layers isinvestigated. The Landauer resistance of the transport of phonon-s iscalculated exactly. For short range disorder the numerical analyses shows, thatat frequency \omega=0, there is delocalized state and the correlation lengthindex \nu is equal to 2.