Hard-type anharmonicity gap discrete breather in 2D biatomic crystal

A.S. Semenov1, S.Y. Fomin2, K. Zhou3, E.g. Soboleva4
1Mirny Polytechnic Institute (branch) of North-Eastern Federal University
2Ufa State Aviation Technical University
3Nanyang Technological University
4Yurga Institute of Technology (Branch), National Research Tomsk Polytechnic University


Dependence of the DB localization parameter, β, energy, E, frequency, ω, on the amplitude of the DB.Spatially localized nonlinear oscillations in the form of a discrete breather (DB) is a recently discovered phenomenon widely investigated in different physical systems due to its potential impact on the structure and dynamics of those systems. Our research is focused on the variety of DB in crystals. Depending on the type of the crystal and corresponding phonon spectrum one can get a gap DB or a DB with the frequency above the phonon spectrum. Most of gap DBs previously addressed in the literature were characterized by a soft nonlinearity type with frequencies splitting off from the upper edge of the phonon spectrum gap. In this work we managed to excite a hard nonlinearity type DB with a frequency within the band gap. In order to achieve this goal we have excited four types of delocalized vibrational modes in biatomic crystal with atomic mass difference m1/m2=10 providing the existence of sufficiently wide phonon band gap. Analysis of amplitude-frequency dependences of two of those modes revealed the hard nonlinearity type with the frequency within the spectrum. The fourth mode with moving heavy atoms had the frequency within the band gap growing with the amplitude. Application of localization function with radial symmetry to this delocalized vibrational mode allowed us to obtain a DB with hard nonlinearity type in the band gap. Properties of the DB were analyzed.

Received: 16 June 2017   Revised: 20 July 2017   Accepted: 21 August 2017

Views: 75   Downloads: 25


S. Dolgov, Sov. Phys. Solid State 28, 907 (1986).
A. J. Sievers, S. Takeno. Phys. Rev. Lett. 61, 970 (1988).
S. V. Dmitriev, E. A. Korznikova, Y. A. Baimova, M. G. Velarde, Physics-Uspekhi 59 (5), 446 (2016).
L. Z. Khadeeva, S. V. Dmitriev. Phys. Rev. B. 2011. V 84, 144304.
P. V. Zakharov, M. D. Starostenkov, A. M. Eremin, E. A. Korznikova, S. V. Dmitriev, Phys. Solid State, 59 (2), 223 (2017).
J. A. Baimova, E. A. Korznikova, I. P. Lobzenko, S. V. Dmitriev, Rev. Adv. Mater. Sci. 42, 68 (2015).
G. M. Chechin, S. V. Dmitriev, I. P. Lobzenko, D. S. Ryabov, Phys. Rev. B 90, 045432 (2014).
S. A. Kiselev and A. J. Sievers, Phys. Rev. B 55, 5755 (1997).
M. Haas, V. Hizhnyakov, A. Shelkan, M. Klopov, A. J. Sievers. Phys. Rev. B84, 144303 (2011).
E. A. Korznikova, S. Y. Fomin, S. V. Dmitriev, Materials Science Forum, 845, 211 (2016).
E. A. Korznikova, A. A. Kistanov, K. S. Sergeev, D. A. Shepelev, A. R. Davletshin,, D. I. Bokii, S. V. Dmitriev, Letters on Materials 6 (3), 221 (2016).
E. A. Korznikova, J. A. Baimova, and S. V. Dmitriev, Europhys. Lett. 102(6), 60004 (2013).
E. A. Korznikova, A. V. Savin, Yu. A. Baimova, S. V. Dmitriev, and R. R. Mulyukov, JETP Lett. 96 (4), 222 – 226 (2012).
I. P. Lobzenko, G. M. Chechin, G. S. Bezuglova, Yu. A. Baimova, E. A. Korznikova, S. V. Dmitriev, Phys. Solid State 58 (3), 616 – 622 (2016).
E. Barani, I. P. Lobzenko, E. A. Korznikova, E. G. Soboleva, S. V. Dmitriev, K. Zhou, A. Moradi Marjaneh, Eur. Phys. J. B 90, 38 (2017).
R. T. Murzaev, R. I. Babicheva, K. Zhou, E. A. Korznikova, S. Yu. Fomin, V. I. Dubinko, and S. V. Dmitriev, Eur. Phys. J. B 89 (7), 168 (2016).
A. A. Kistanov, S. V. Dmitriev, A. S. Semenov, V. I. Dubinko, D. A. Terent’ev. Technical Physics Letters. 40(8), 657 (2014).
G. Chechin, D. Ryabov, S. Shcherbinin, Letters on Materials 6, 9 (2016).
E. A. Korznikova, S. Y. Fomin, E. G. Soboleva, S. V. Dmitriev, JETP Letters, 103 (4), 277 (2016).
E. A. Korznikova, S. Y. Fomin, Letters on Materials, 6 (1), 57 (2016)
I. P. Lobzenko, P. V. Lobzenko, A. M. Bayazitov, A. P. Chetverikov, R. I. Machmutova, A. A. Kistanov, Letters on materials, 6 (4), 304 – 308 (2016).
S. V. Dmitriev, E. A. Korznikova, D. I. Bokij, K. Zhou, Phys. Status Solidi B, 253 (7), 1310 – 1317 (2016).
E. A. Korznikova, D. V. Bachurin, S. Y. Fomin, A. P. Chetverikov, S. V. Dmitriev, Eur. Phys. J. B 90 (2), 23 (2017).
G. M. Chechin, G. S. Dzhelauhova, and E. A. Mehonoshina, Phys. Rev. E 74, 036608 (2006).