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Localized vibrational modes in an A3B two-dimensional perfect crystal
Authors:S. V. Dmitriev  N. N. Medvedev  R. R. Mulyukov  O. V. Pozhidaeva  A. I. Potekaev  M. D. Starostenkov
Affiliation:(1) V. D. Kuznetsov Siberial Physical-Technical Institute at Tomsk State University, Tomsk, Russia;(2) Institute of Problems of Metal Superplasticity of the Russian Academy of Sciences, Ufa, Russia;(3) Altai State Technical University, Barnaul, Russia
Abstract:The possibility of existence of nonlinear localized vibrational modes in an A3B two-dimensional crystal with pairwise interatomic bonds is demonstrated. Such modes are easily realized when the difference between masses of atoms A and B is significant and the spectrum of small-amplitude crystal vibrations has a sufficiently wide gap. The influence of the uniform tension/compression deformation on the small-amplitude crystal vibration spectrum and on the existence of nonlinear localized modes is investigated. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 73–79, August, 2008.
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