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

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

1998-10-24

arxiv.org/abs/cond-mat/9810329v1

Phys. Rev. B 60, 10114 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 2 figures

Scientific paper

10.1103/PhysRevB.60.10114

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 \omega=0, there is delocalized state and the correlation length index \nu is equal to 2.

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