Abstract
This paper deals with spin deviation vs site number in an antiferromagnet with next nearest neighbour interactions along with bilinear, anisotropic, and Dzyaloshinski–Moriya (D–M) interactions. The nature of propagation of spin waves for different parametric choices is studied. By introducing Holstein–Primakoff representation of spin operators, we obtain a set of coupled partial differential equations. The equations are then analysed using sine–cosine function method and the results show that the spin wave propagates in the form of soliton.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The paper contents are purely theoretical and did not need any data.]
References
K. Nakamura, T. Sasada, Solitons and wave trains in ferromagnets. Phys. Lett. A 48, 321 (1974)
M. Lakshmanan, Continuum spin system as an exactly solvable dynamical system. Phys. Lett. A 61, 53 (1977)
L.A. Takhtajan, Integration of the continuous Heisenberg spin chain through the inverse scattering method. Phys. Lett. A 64, 235 (1977)
J. Tjon, J. Wright, Solitons in the continuous Heisenberg spin chain. Phys. Rev. B 15, 3470 (1977)
M. Daniel, M.D. Kruskal, M. Lakshmanan, K. Nakamura, Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: nonintegrability and chaos. J. Math. Phys. 33, 771 (1992)
M. Lakshmanan, Continuum spin system as an exactly solvable dynamical system. Phys. Lett. A 61, 53 (1977)
H.J. Mikeska, Solitons in a one-dimensional magnet with an easy plane. J. Phys. C Solid State Phys. 11, 29 (1978)
A.S.T. Piros, S.L. Talim, B.V. Costa, Solitons in one-dimensional antiferromagnetic chains. Phys. Rev. B 39, 7149 (1989)
R. Balakrishnan, A.R. Bishop, Nonlinear excitations on a ferromagnetic chain. Phys. Rev. Lett. 55, 537 (1985)
R.J. Glauber, Coherent and Incoherent states of the radiation field. Phys. Rev. 131, 2766 (1963)
J.P. Nguenang, T.C. Kofane, E. Yomba, J.D. Yo, Solitary wave in a classical ferromagnetic chain under weak dipolar interactions. Phys. Scr. 60, 5 (1999)
D. Lissouck, J.P. Nguenang, Solitary magnon excitations in a one-dimensional antiferromagnet with D-M interactions. J. Phys. Condens. Matter 19, 096202 (2007)
R. Lai, A. Sievers, Nonlinear nanoscale localization of magnetic excitations in atomic lattices. Phys. Rep. 314, 236 (1999)
W.M. Liu, G.H. He, B.L. Zhou, Solitary magnon localization in antiferromagnet KCuF3. Phys. Scr. 50, 441 (1994)
W.M. Liu, B.L. Zhou, Solitons in an order-parameter-preserving antiferromagnet. J. Phys. Condens. Matter 26, 063116 (1993)
C. Christal Vasanthi, M.M. Latha, Nonlinear dynamics of inhomogeneous antiferromagnetic system with Dzyaloshinski-Moriya interactions. Phys. Scr. 88, 065012 (2013)
T. Anitha, C. ChristalVasanthi, M.M. Latha, Dromions in (2+1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions. Phys. A 415, 115 (2014)
T. EvangelineRabecca, M.M. Latha, Localized spin excitations in an antiferromagnetic spin system with D-M interaction. Choas 26, 063116 (2016)
I. Dzyaloshinsky, A Thermodynamic theory of weak ferromagnetism of antiferromagnetics. J. Phys. Chem. Solids 4, 211 (1958)
T. Moriya, Anisotropic superexchange interaction and weak ferromagnetism. Phys. Rev. B 120, 91 (1960)
M. Daniel, R. Amuda, Soliton in an inhomogeneous weak ferromagnet with the Dzialoshinski-Moriya interaction. Phys. Rev. B 53, 6 (1996)
M. Daniel, L. Kavitha, R. Amuda, Soliton spin excitations in an anisotropic Heisenberg ferromagnet with octupole-dipole interaction. Phys. Rev. B 59, 13774 (1999)
M. Daniel, L. Kavitha, Localized spin excitations in an anisotropic Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions. Phys. Rev. B 63, 172302 (2001)
M. Capone, S. Caprara, Antiferromagnetic integer spin chains in a staggered magnetic field: approaching the thermodynamic limit through the infinite-size density-matrix renormalization group. Phys. Rev. B 64, 184418 (2001)
M. Bortz, F. Gohmann, Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic XXZ-chain at finite temperatures. Eur. Phys. J. B 46, 399 (2005)
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A. Jarlet Jeyaseeli: Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli - 627 012, Tamilnadu, India.
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Jeyaseeli, A.J., Latha, M.M. Intrinsic localized spin waves in an antiferromagnetic spin system with next nearest neighbour interactions. Eur. Phys. J. B 94, 220 (2021). https://doi.org/10.1140/epjb/s10051-021-00216-6
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DOI: https://doi.org/10.1140/epjb/s10051-021-00216-6