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.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 73–79, August, 2008.
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Dmitriev, S.V., Medvedev, N.N., Mulyukov, R.R. et al. Localized vibrational modes in an A 3 B two-dimensional perfect crystal. Russ Phys J 51, 858–865 (2008). https://doi.org/10.1007/s11182-009-9112-z
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DOI: https://doi.org/10.1007/s11182-009-9112-z