Dark solitons in ferromagnetic chains with first- and second-neighbor interactions

• Authors: Marina Primatarowa , Radostina Kamburova
• Languages of publication: EN

Abstracts

EN

We present a study of the ferromagnetic spin chain with both first- and second-neighbor interactions. We obtain the condition for the appearance and stability of bright and dark solitons for arbitrary wave number in the Brillouin zone. The influence of the second-neighbor interaction and the anisotropy on the soliton properties is considered. The scattering of dark solitons from point defects in the discrete spin chain is investigated numerically.

Keywords

EN

solitons nonlinear Schrödinger equation soliton-impurity interaction

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 5
• Pages: 1102-1108

Dates

published

1 - 10 - 2012

online

21 - 11 - 2012

Contributors

author

Marina Primatarowa

• Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria

author

Radostina Kamburova

• Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria

References

• [1] H.J. Mikeska, M. Steiner, Adv. Phys. 40, 191 (1991)
• [2] J. Tjon, J. Wright, Phys. Rev. B 15, 3470 (1977)
• [3] D.I. Pushkarov, Kh.I. Pushkarov, Phys. Lett. 61 A, 339 (1977)
• [4] G. Huang, Z.P. Shi, X. Dai, R. Tao, J. Phys.: Condens. Matter B 2, 8355 (1990)
• [5] R.F. Wallis, D.L. Mills, A.D. Boardman, Phys. Rev. B 52, R3828 (1995)
• [6] S. Rakhmanova, D.L. Mills, Phys. Rev. B 58, 11458 (1998)
• [7] A.N. Slavin, Yu.S. Kivshar, E.A. Ostrovskaya, H. Benner, Phys. Rev. Lett. 82, 2583 (1999)
• [8] B. Bischof, A.N. Slavin, H. Benner, Yu.S. Kivshar, Phys. Rev. B 71, 104424 (2005)
• [9] C.E. Zaspel, J.H. Mantha, Yu.G. Rapoport, V.V. Grimalsky, Phys. Rev. B 64, 064416 (2001)
• [10] B.A. Ivanov, A.Yu. Galkin, R.S. Khymyn, A.Yu. Merkulov, Phys. Rev. B 77, 064402 (2008)
• [11] Yu.S. Kivshar, B. Luther-Davies, Phys. Reports 298, 81 (1998)
• [12] Yu.S. Kivshar, W. Królikowski, A.O. Chubykalo, Phys. Rev. E 50, 5020 (1994)
• [13] P.G. Kevrekidis, I.G. Kevrekidis, A.R. Bishop, E.S. Titi, Phys. Rev. E 65, 046613 (2002)
• [14] K. Forinash, M. Peyrard, B. Malomed, Phys. Rev. E 49, 3400 (1994)
• [15] S. Burtsev, D.J. Kaup, B.A. Malomed, Phys. Rev. E 52, 4474 (1995)
• [16] A.A. Sukhorukov, Yu.S. Kivshar, O. Bang, J.J. Rasmussen, P.L. Christiansen, Phys. Rev. E 63, 036601 (2001)
• [17] D.J. Frantzeskakis, G. Theocharis, F.K. Diakonos, P. Schmelcher, Yu.S. Kivshar, Phys. Rev. A 66, 053608 (2002)
• [18] M.T. Primatarowa, R.S. Kamburova, K.T. Stoychev, J. Optoel. Adv. Mat. 11, 1388 (2009)
• [19] R. Lai, S.A. Kiselev, A.J. Sievers, Phys. Rev. B 56, 5345 (1997)
• [20] M.T. Primatarowa, K.T. Stoychev, R.S. Kamburova, Eur. Phys. J. B 29, 291 (2002)
• [21] V.N. Serkin, A. Hasegawa, T.L. Belyaeva, Phys. Rev. Lett. 98, 074102 (2007) [PubMed]
• [22] T.L. Belyaeva, V.N. Serkin, C. Hernandez-Tenorio, F. Garcia-Santibañez, J. Modern Optics 57, 1087 (2010)
• [23] V.N. Serkin, A. Hasegawa, T.L. Belyaeva, J. Modern Optics 57, 1456 (2010)
• [24] M.T. Primatarowa, K.T. Stoychev, R.S. Kamburova, Phys. Rev. B 52, 15291 (1995)
• [25] M.T. Primatarowa, R. S. Kamburova, J. Phys.: Conf. Ser. 253, 012022 (2010)

Identifiers

DOI

10.2478/s11534-012-0118-8