Gap discrete breathers in 2D and 3D crystals

Received 08 May 2011; Accepted 21 June 2011;
This paper is written in Russian
Citation: S.V. Dmitriev. Gap discrete breathers in 2D and 3D crystals. Lett. Mater., 2011, 1(2) 78-83
BibTex   https://doi.org/10.22226/2410-3535-2011-2-78-83

Abstract

Discrete breather (DB) is spatially localized vibrational mode of large amplitude in a defect-free crystal. The role of DB in condensed matter physics and materials science has been inten-sively studied during last decade. In the present brief review we summarize the results on gap DB in two- and three-dimensional crystals. We cover the following issues: proper-ties of DB in crystals at zero temperature; identification of DB at finite temperature; mechanisms of DB formation; possibil-ity to excite DB with frequency lying inside phonon band; effect of DB on crystal properties; etc.

References (36)

1. S. Flach, A.V. Gorbach, Phys. Rep. 467, 1 (2008).
2. M. E. Manley, Acta Mater. 58, 2926 (2010).
3. S. Flach, C.R. Willis, Phys. Rep. 295, 181 (1998).
4. D.K. Campbell, S. Flach, Yu.S. Kivshar, Phys. Today 57, 43 (2004).
5. M.E. Manley, A.J. Sievers, J.W. Lynn, S.A. Kiselev, N.I.Agladze, Y. Chen, A. Llobet, A. Alatas, Phys. Rev. B 79, 134304 (2009).
6. S.A. Kiselev, A.J. Sievers, Phys. Rev. B 55, 5755 (1997).
7. A.R. Bishop, A. Bussmann-Holder, S. Kamba, M.Maglione, Phys. Rev. B 81, 064106 (2010).
8. S.V. Dmitriev, A.A. Sukhorukov, A.I. Pshenichnyuk, L.Z.Khadeeva, A.M. Iskandarov, Yu.S. Kivshar, Phys. Rev. B80, 094302 (2009).
9. L.Z. Khadeeva, S.V. Dmitriev, Phys. Rev. B 81, 214306(2010).
10. S.V. Dmitriev, N.N. Medvedev, R.R. Mulyukov, O.V.Pozhidaeva, A.I. Potekaev, M.D. Starostenkov, RussianPhysics Journal 51, 858 (2008).[С.В.Дмитриев, МедведевН.Н., Мулюков Р.Р., Пожидаева О.В., Потекаев А.И., Старостенков М.Д. // Изв. вузов. Физика. 2008. Т.51.№ 8. С. 73-79.].
11. V. Dubinko, Nucl. Instr. and Meth. B 267, 2976 (2009).
12. T. Shimada, D. Shirasaki, T. Kitamura, Phys. Rev. B 81, 035401 (2010).
13. Y. Kinoshita, Y. Yamayose, Y. Doi, A. Nakatani, T.Kitamura, Phys. Rev. B 77, 024307 (2008).
14. A.V. Savin, Yu.S. Kivshar, EPL, 89, 46001 (2010).
15. S.V. Dmitriev, L.Z. Khadeeva, Yu. S. Kivshar, NonlinearTheory and Its Applications, submitted.
16. Yu.S. Kivshar, G.P. Agrawal. Optical Solitons: From Fibersto Photonic Crystals (Academic, New York, 2003).
17. S. Flach, K. Kladko, R. S. MacKay, Phys. Rev. Lett. 78, 1207 (1997).
18. L.Z. Khadeeva, S.V. Dmitriev, A.A. Nazarov, FundamentalProblems and Modern Technologies of Materials Science№1, 119 (2008) (in Russian). [Л.З. Хадеева, ДмитриевС.В., Назаров А.А., Фундаментальные проблемы со-временного материаловедения №1 (2008) С. 119].
19. S.V. Dmitriev, L.Z. Khadeeva, Fundamental Problemsand Modern Technologies of Materials Science, 8, №1, 12 (2011) (in Russian). [Дмитриев С.В., Хадеева Л.З., Фундаментальные проблемы современного материа-ловедения 8, №1, 12 (2011)].
20. S.V. Dmitriev, A.A. Nazarov, A.I. Potekaev, A.I.Pshenichnyuk, L.Z. Khadeeva, Russian Physics Journal, 52, No. 2, 132 (2009). [С.В. Дмитриев, А.А. Назаров, А.И. Потекаев, А.И. Пшеничнюк, Л.З. Хадеева, Изв.вузов. Физика, 2009, №2, Т. 52, с. 21-26].
21. N.N. Medvedev, M.D. Starostenkov, P.V. Zakharov, O.V. Pozidaeva, Technical Physics Letters, 37, No.2, 98 (2011). [Н.Н. Медведев, М.Д. Старостенков, П.В. Захаров, О.В. Пожидаева, Письма ЖТФ, 37, No. 3, 7 (2011)].
22. S.V. Dmitriev, L.Z. Khadeeva, A.I. Pshenichnyuk, N.N.Medvedev, Physics of the Solid State, 52, 1499 (2010).[С.В. Дмитриев, Хадеева Л.З., А.И. Пшеничнюк, Н.Н.Медведев, ФТТ, 52, 1398 (2010)].
23. L.Z. Khadeeva, S.V. Dmitriev, A.A. Nazarov, A.I.Pshenichnyuk, Journal of Advanced Materials, No. 7, 327(2009) (in Russian). [Л.З. Хадеева, С.В. Дмитриев, А.А.Назаров, А.И. Пшеничнюк, Перспективные материа-лы, №7, 327 (2009)].
24. S.V. Dmitriev, L.Z. Khadeeva, Izvestiya vuzov.Prikladnaya nelineinaya dinamika, 18. №6. 85 (2010) (inRussian) [Дмитриев С.В., Хадеева Л.З. Известия вузов.Прикладная нелинейная динамика. 18. №6. 85 (2010)].
25. S.V. Dmitriev, L.Z. Khadeeva, Physics of the Solid State, 53, 1425 (2011). [Дмитриев С.В., Хадеева Л.З. ФТТ, 53, №7, 1353 (2011)].
26. F. Liu, P. Ming, J. Li, Phys. Rev. B. 76, 064120 (2007).
27. S.V. Dmitriev, J.A. Baimova, A.V. Savin, Yu.S. Kivshar, JETP Lett., 93, No 10, 571 (2011) [С.В. Дмитриев, Ю.А.Баимова, А.В. Савин, Ю.С. Кившарь, Письма в ЖЭТФ93, № 10, 632 (2011).].
28. A.V. Savin, B. Hu, Yu.S. Kivshar, Phys. Rev. B. 80, 195423(2009).
29. A.V. Savin, Yu.S. Kivshar, Letters on Materials, 1, №1, 3 (2011) (in Russian). [Савин А.В., Кившарь Ю.С.Письма о материалах, 1, №1, 3 (2011)].
30. A.V. Savin, Yu.S. Kivshar, Phys. Rev. B. 81, 165418 (2010).
31. М.V. Ivanchenko, O.I. Kanakov, V.D. Shalfeev, S. Flach, Physica D 198, 120 (2004).
32. M. Eleftheriou, S. Flach, Low Temperature Physics 34, 554 (2008).
33. M. Eleftheriou, S. Flach, G.P. Tsironis, Physica D 186, 20(2003).
34. Poletaev G.M., Starostenkov M.D. Physics of the SolidState, 51, №4, 727 (2009). [Полетаев Г.М., СтаростенковМ.Д. ФТТ, 51. №4. 686 (2009)].
35. T. Dauxois, R. Khomeriki, F. Piazza, S. Ruffo, Chaos 15, 015110 (2005).
36. M.E. Manley, arXiv:0905.2988.

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