Abstract
The existence of localized spin excitations and spin deviations along the site in an inhomogenity induced one-dimensional antiferromagnet (AFM) with Dzyaloshinski-Moriya (D-M) interaction has been studied. A discrete set of coupled nonlinear partial differential equations that governs the dynamics is arrived. The quantum localised spin modes are calculated in the presence of different inhomogenities. The multiple-scale method is employed and multi wave soliton solutions are constructed and depicted graphically.
Graphical abstract
Similar content being viewed by others
References
K. Nakamura, T. Sasada, Phys. Lett. A 48, 321 (1974)
M. Lakshmanan, Phys. Lett. A 61, 53 (1977)
L.A. Takhtajan, Phys. Lett. A 64, 235 (1977)
J. Tjon, J. Wright, Phys. Rev. B 15, 3470 (1977)
H.C. Fogedby, J. Phys. A: Math. Gen. 13, 1467 (1980)
R. Ferrer, Phys. Rev. B 40, 11007 (1989)
H.J. Mikeska, J. Phys. C: Solid State Phys. 11, L29 (1978)
C. Christal Vasanthi, M.M. Latha, Phys. Scr. 88, 065012 (2013)
T. Evangeline Rebecca, M.M. Latha, Chin. J. Phys. 55, 1103 (2017)
A.V. Sadovnikov, S.A. Odintsov, E.N. Beginin, S.E. Sheshukova, Y.P. Sharaevskii, S.A. Nikitov, Phys. Rev. B 96, 144428 (2017)
A.V. Sadovnikov, A.A. Grachev, S.E. Sheshukova, Y.P. Sharaevskii, A.A. Serdobintsev, D.M. Mitin, S.A. Nikitov, Phys. Rev. Lett. 120, 257203 (2018)
A.V. Sadovnikov, E.N. Beginin, S.E. Sheshukova, Y.P. Sharaevskii, A.I. Stognii, N.N. Novitski, V.K. Sakharov, Y.V. Khivintsev, S.A. Nikitov, Phys. Rev. B 99, 054424 (2019)
A.V. Sadovnikov, S.A. Odintsov, E.N. Beginin, A.A. Grachev, V.A. Gubanov, S.E. Sheshukova, Y.P. Sharaevskii, S.A. Nikitov, JETP Lett. 107, 1 (2017)
I. Dzyaloshinsky, J. Phys. Chem. Solids 4, 241 (1958)
T. Moriya, Phys. Rev. 120, 91 (1960)
M. Daniel, R. Amuda, J. Phys. A: Math. Gen. 28, 5529 (1995)
M. Daniel, R. Amuda, Phys. Rev. B 53, R2930 (1996)
M. Daniel, L. Kavitham, Phys. Rev. B 63, 172302 (2001)
M. Daniel, L. Kavitha, Phys. Lett. A 295, 121 (2002)
D. Lissouck, J.-P. Nguenang, J. Phys.: Condens. Matter 19, 096202 (2007)
S.R. Bickham, S.A. Kiselev, A.J. Sievers, Phys. Rev. B 47, 14206 (1993)
V.M. Burlakov, S.A. Kiselev, V.N. Pyrkov, Phys. Rev. B 42, 4921 (1990)
G.X. Huang, Z.P. Shi, Z.X. Xu, Phys. Rev. B 47, 14561 (1993)
T. Rossler, J.B. Page, Physica B 219, 387 (1996)
S.V. Rakhmanova, A.V. Shchegrov, Phys. Rev. B 57, R14012 (1998)
R.F. Wallis, D.L. Mills, A.D. Boardman, Phys. Rev. B 52, R3828 (1995)
S.W. Kim, S. Kim, Phys. Rev. B 66, 212408 (2002)
R. Lai, S.A. Kiselev, A.J. Sievers, Phys. Rev. B 56, 5345 (1997)
G.X. Huang, S.D. Zhang, B. Hu, Phys. Rev. B 58, 9194 (1998)
R. Lai, S.A. Kiselev, A.J. Sievers, Phys. Rev. B 54, R12665 (1996)
S.V. Rakhmanova, Phys. Lett. A 252, 77 (1999)
T. Evangeline Rebecca, M.M. Latha, Chaos 26, 063116 (2016)
C. Kittel, inQuantum theory of Solids (Wiley, New York, 1963), Vol. 4
R. Lai, A.J. Sievers, Phys. Rep. 314, 147 (1999)
R. Lai, A.J. Sievers, J. Appl. Phys. 81, 3972 (1997)
G.P. Tsironis, A.R. Bishop, A.V. Savin, A.V. Zolotaryuk, Phys. Rev. E 60, 6610 (1999)
S. Rakhmanova, D.L. Mills, Phys. Rev. B 54, 13 (1996)
L. De-Jun, W. Xiao-Yun, M. Xian-Wu, X. Jing, Commun. Theor. Phys. (Beijing, China) 50, 1177 (2008)
A.V. Sadovnikov, A.A. Grachev, E.N. Beginin, S.E. Sheshukova, Y.P. Sharaevskii, S.A. Nikitov, Phys. Rev. Appl. 7, 014013 (2017)
A.V. Sadovnikov, A.A. Grachev, V.A. Gubanov, S.A. Odintsov, A. Martyshkin, S.E. Sheshukova, Yu.P. Sharaevskii, S.A. Nikitov, Appl. Phys. Lett. 112, 142402 (2018)
A.V. Sadovnikov, E.N. Beginin, K.V. Bublikov, S.V. Grishin, S.E. Sheshukova, Yu.P. Sharaevskii, S.A. Nikitov, J. Appl. Phys. 118, 203906 (2015)
A.V. Sadovnikov, V.A. Gubanov, A.S. Sheshukova, Yu.P. Sharaevskii, S.A. Nikitov, Phys. Rev. Appl. 9, 051002 (2018)
S.A. Odintsov, A.V. Sadovnikov, A.A. Grachev, E.N. Beginin, Y.P. Sharaevskii, S.A. Nikitov, JETP Lett. 104, 8 (2016)
M. Sato, A.J. Siever, Nature 432, 486 (2004)
S. Takeno, K. Kawasaki, Phys. Rev. B 45, 5083 (1992)
L. Kavitha, M. Daniel, J. Phys. A: Math. Gen. 36, 10471 (2003)
Y.S. Kivshar, Phys. Lett. A 161, 80 (1991)
G.X. Huang, Z.P. Shi, X.X. Dai, R. Tao, J. Phys.: Condens. Matter 2, 10059 (1990)
Y. Glauber, Phys. Rev. 131, 2766 (1963)
H.G. Solari, E.S. Hernandez, Phys. Rev. C 26, 2310 (1982)
W.M. Zhang, D.H. Feng, H. Gilmore, Rev. Mod. Phys. 62, 867 (1990)
M. Remoissenet Phys. Rev. B 33, 2386 (1986)
W.X. Ma, T. Huang, Y. Zhang, Phys. Scr. 82, 065003 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Evangeline Rebecca, T., Ludvin Felcy, A. & Latha, M.M. Localized spin excitations in a site-dependent antiferromagnetic spin system with D-M interaction. Eur. Phys. J. B 92, 188 (2019). https://doi.org/10.1140/epjb/e2019-100060-5
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2019-100060-5