New types of one-dimensional discrete breathers in a two-dimensional lattice

A.S. Semenov, R.T. Murzaev, Y.V. Bebikhov, A.A. Kudreyko ORCID logo , S.V. Dmitriev show affiliations and emails
Received 26 February 2020; Accepted 29 February 2020;
Citation: A.S. Semenov, R.T. Murzaev, Y.V. Bebikhov, A.A. Kudreyko, S.V. Dmitriev. New types of one-dimensional discrete breathers in a two-dimensional lattice. Lett. Mater., 2020, 10(2) 185-188
BibTex   https://doi.org/10.22226/2410-3535-2020-2-185-188

Abstract

New one-dimensional discrete breathers are excited in a close-packed atomic row of 2D Lennard-Jones triangular lattice, using the one- and two-component delocalized nonlinear vibrational modes of one-dimensional lattice reported by Chechin et al.Discrete breather (DB) is a spatially localized and periodic in time, large-amplitude vibrational mode in a nonlinear lattice. According to some experimental and a number of molecular dynamics studies, crystal lattices support various types of DBs. The final goal in the study of DBs is to understand their impact on macroscopic crystal properties. This aim cannot be achieved without further data collection on the properties of all types of DBs supported by the crystals. Recently k-dimensional DBs in n-dimensional crystal lattices (k < n) have been introduced. Such DBs are delocalized in k dimensions and localized in n − k dimensions. In the present study 2D triangular lattice with the classical Lennard-Jones potential is considered (n = 2) and new types of one-dimensional DBs (k =1) are presented. The DBs are localized in one close-packed atomic row and the vibration amplitudes of the atoms decrease exponentially with the distance from this row. Quite general approach for excitation of such DBs is used, which is based on the delocalized nonlinear vibrational modes (DNVMs) derived by Chechin with co-authors for a nonlinear chain. We find that DNVMs reported by them produce one-component and two-component, one-dimensional DBs with relatively long lifetime in the triangular lattice. Our results contribute to the theory of nonlinear lattice dynamics and eventually will help to understand the role of DBs in crystalline solids.

References (49)

1. A. S. Dolgov. Sov. Phys. Solid State. 28, 907 (1986).
2. A. J. Sievers, S. Takeno. Phys. Rev. Lett. 61, 970 (1988). Crossref
3. J. B. Page. Phys. Rev. B. 41, 7835 (1990). Crossref
4. S. Flach, C. R. Willis. Phys. Rep. 295, 181 (1998). Crossref
5. S. V. Dmitriev, E. A. Korznikova, J. A. Baimova, M. G. Velarde. Phys. Usp. 59, 446 (2016). Crossref
6. T. Shimada, D. Shirasaki, T. Kitamura. Phys. Rev. B. 81, 035401 (2010). Crossref
7. Y. Yamayose, Y. Kinoshita, Y. Doi, A. Nakatani, T. Kitamura. Europhys. Lett. 80, 40008 (2007). Crossref
8. Y. Kinoshita, Y. Yamayose, Y. Doi, A. Nakatani, T. Kitamura. Phys. Rev. B. 77, 024307 (2008). Crossref
9. B. Liu, J. A. Baimova, S. V. Dmitriev, X. Wang, H. Zhu, K. Zhou. J. Phys. D: Appl. Phys. 46, 305302 (2013). Crossref
10. G. M. Chechin, S. V. Dmitriev, I. P. Lobzenko, D. S. Ryabov. Phys. Rev. B. 90, 045432 (2014). Crossref
11. L. Z. Khadeeva, S. V. Dmitriev, Y. S. Kivshar. JETP Lett. 94, 539 (2011). Crossref
12. J. A. Baimova, S. V. Dmitriev, K. Zhou. Europhys. Lett. 100, 36005 (2012). Crossref
13. I. P. Lobzenko, G. M. Chechin, G. S. Bezuglova, Yu. A. Baimova, E. A. Korznikova, S. V. Dmitriev. Phys. Solid State. 58, 633 (2016). Crossref
14. I. Evazzade, I. P. Lobzenko, E. A. Korznikova, I. A. Ovid’Ko, M. R. Roknabadi, S. V. Dmitriev. Phys. Rev. B. 95, 035423 (2017). Crossref
15. E. Barani, E. A. Korznikova, A. P. Chetverikov, K. Zhou, S. V. Dmitriev. Phys. Lett. A. 381, 3553 (2017). Crossref
16. S. A. Kiselev, A. J. Sievers. Phys. Rev. B. 55, 5755 (1997). Crossref
17. L. Z. Khadeeva, S. V. Dmitriev. Phys. Rev. B. 81, 214306 (2010). Crossref
18. A. Riviere, S. Lepri, D. Colognesi, F. Piazza. Phys. Rev. B. 99, 024307 (2019). Crossref
19. N. K. Voulgarakis, G. Hadjisavvas, P. C. Kelires, G. P. Tsironis. Phys. Rev. B. 69, 113201 (2004). Crossref
20. R. T. Murzaev, D. V. Bachurin, E. A. Korznikova, S. V. Dmitriev. Phys. Lett. A. 381, 1003 (2017). Crossref
21. N. N. Medvedev, M. D. Starostenkov, M. E. Manley. J. Appl. Phys. 114, 213506 (2013). Crossref
22. M. D. Starostenkov, A. I. Potekaev, S. V. Dmitriev, P. V. Zakharov, A. M. Eremin, V. V. Kulagina. Russ. Phys. J. 58, 1353 (2016). Crossref
23. P. V. Zakharov, E. A. Korznikova, S. V. Dmitriev, E. G. Ekomasov, K. Zhou. Surf. Sci. 679, 1 (2019). Crossref
24. M. Haas, V. Hizhnyakov, A. Shelkan, M. Klopov, A. J. Sievers. Phys. Rev. B. 84, 144303 (2011). Crossref
25. O. V. Bachurina. Comp. Mater. Sci. 160, 217 (2019). Crossref
26. O. V. Bachurina. Model. Simul. Mater. Sci. Eng. 27, 055001 (2019). Crossref
27. R. T. Murzaev, A. A. Kistanov, V. I. Dubinko, D. A. Terentyev, S. V. Dmitriev. Comp. Mater. Sci. 98, 88 (2015). Crossref
28. D. A. Terentyev, A. V. Dubinko, V. I. Dubinko, S. V. Dmitriev, E. E. Zhurkin, M. V. Sorokin. Model. Simul. Mater. Sc. 23, 085007 (2015). Crossref
29. R. T. Murzaev, R. I. Babicheva, K. Zhou, E. A. Korznikova, S. Y. Fomin, V. I. Dubinko, S. V. Dmitriev. Eur. Phys. J. B. 89, 168 (2016). Crossref
30. O. V. Bachurina, R. T. Murzaev, A. S. Semenov, E. A. Korznikova, S. V. Dmitriev. Phys. Solid State. 60, 989 (2018). Crossref
31. V. Dubinko, D. Laptev, D. Terentyev, S. V. Dmitriev, K. Irwin. Comp. Mater. Sci. 158, 389 (2019). Crossref
32. B. Mihaila, C. P. Opeil, F. R. Drymiotis, J. L. Smith, J. C. Cooley, M. E. Manley, A. Migliori, C. Mielke, T. Lookman, A. Saxena, A. R. Bishop, K. B. Blagoev, D. J. Thoma, J. C. Lashley, B. E. Lang, J. Boerio-Goates, B. F. Woodfield, G. M. Schmiedeshoff. Phys. Rev. Lett. 96, 076401 (2006). Crossref
33. M. E. Manley. Acta Mater. 58, 2926 (2010). Crossref
34. D. Xiong, D. Saadatmand, S. V. Dmitriev. Phys. Rev. E. 96, 042109 (2017). Crossref
35. J. Wang, S. V. Dmitriev, D. Xiong. Phys. Rev. Research. 2, 013179 (2020). Crossref
36. V. Popov. Facta Universitatis, Series: Mechanical Engineering. 17, 39 (2019). Crossref
37. J. Baimova. Letters on Materials. 6, 31 (2016). Crossref
38. G. M. Chechin, V. P. Sakhnenko. Physica D. 117, 43 (1998). Crossref
39. G. M. Chechin, D. S. Ryabov, K. G. Zhukov. Physica D. 203, 121 (2005). Crossref
40. G. M. Chechin, D. S. Ryabov, S. A. Shcherbinin. Letters on Materials. 6, 9 (2016). Crossref
41. S. Yu. Fomin, E. A. Korznikova. Letters on Materials. 6, 57 (2016). Crossref
42. A. A. Kistanov, A. S. Semenov, S. V. Dmitriev. J. Exp. Theor. Phys. 119, 766 (2014). Crossref
43. E. Barani, I. P. Lobzenko, E. A. Korznikova, E. G. Soboleva, S. V. Dmitriev, K. Zhou, A. M. Marjaneh. Eur. Phys. J. B. 90, 38 (2017). Crossref
44. D. U. Abdullina, M. N. Semenova, A. S. Semenov, E. A. Korznikova, S. V. Dmitriev. Eur. Phys. J. B. 92, 249 (2019). Crossref
45. V. M. Burlakov, S. Kiselev. Sov. Phys. JETP. 72, 854 (1991).
46. K. Ikeda, Y. Doi, B. F. Feng, T. Kawahara. Physica D. 225, 184 (2007). Crossref
47. E. A. Korznikova, D. V. Bachurin, S. Yu. Fomin, A. P. Chetverikov, S. V. Dmitriev. Eur. Phys. J. B. 90, 23 (2017). Crossref
48. S. A. Shcherbinin, M. N. Semenova, A. S. Semenov, E. A. Korznikova, G. M. Chechin, S. V. Dmitriev. Phys. Solid State. 61, 2139 (2019). Crossref
49. O.V. Bachurina, R. T. Murzaev, D. V. Bachurin. Journal of Micromechanics and Molecular Physics. 04, 1950001 (2019). Crossref

Similar papers

Funding

1. Russian Foundation for Basic Research - 18-32-00171
2. Russian Foundation for Basic Research - 19-02-00971
3. State Assignment of IMSP RAS - No. AAAAA17‑117041310220‑8