Abstract
A theoretical analysis of elementary excitations in the form of soliton modes in the alternating cubic spinel ferromagnetic multilayer is presented, using the coherent-state method coupled with the Holstein–Primakoff (HP) representation of spin operators. The Hamiltonian and the equations of motion for a cubic spinel ferromagnetic multilayer are rewritten in dimensionless forms, and two partial differential equations with nonlinear coupling are obtained. By the method of multiple scales, the equations are reduced to a nonlinear Schrodinger equation. Criteria for the existence of bright and dark solitons are studied. It is shown that due to the long-range and static dipole–dipole interactions, there exist different types of magnetic solitary excitations.
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References
Hillebrands, B., Ounadjela, K. (eds.): Spin Dynamics in Confined Magnetic Structures, Vols. I, II, III Springer, Berlin (2002, 2003, 2006)
Mikeska, H.J., Steiner, M.: Adv. Phys. 40, 191 (1991)
Boucher, J.P., Regnault, L.P., Rossat-Mignod, J., Renard, J.P., et al.: Physica B 120, 241 (1983)
Steiner, M., Kakurai, K., Kjems, J.K.: Z. Phys. B 53, 117 (1983)
Tamine, M., Greneche, J.M.: J. Magn. Magn. Mater. 159(1–2), 211–222 (1996)
Huang, G., Shi, Z.-P., Dai, X.: Phys. Rev. B 43, 11197–11206 (1991)
Samarsekara, P.: Int. J. Theor. Phys. 4(15), 187–200 (2007)
Tjon, J., Wright, J.: Phys. Rev. B, Condens. Matter 15, 3407 (1977)
Fogedby, H.C.: J. Phys. A 13, 1467 (1980)
Radcliffe, J.M.: J. Phys. A 4, 313 (1971)
Bhaumik, U., Taraphder, A.: J. Phys. Condens. Matter 18, 8251 (2006)
Dodd, R.K., Eilbeck, J.C., Gibbon, J.D., Morris, H.C.: Solitons and Nonlinear Wave Equations. Academic Press, London (1982)
Iida, K., Qiu, Y., Sato, T.J.: (2010). arXiv:1005.3975v1 [condmat.other], 21 May 2010
Gong, M., Qian, Y., Scarola, V.W., Zhang, C.:. (2012). arXiv:1205.6211
Ivanov, B.A., Sukstanskii, A.L.: Zh. Èksp. Teor. Fiz. 110, 584–599 (1996)
Balalkrishnan, R., Bishop, A.R.: Phys. Rev. Lett. A 55, 537 (1985)
Balalkrishnan, R., Bishop, A.R.: Phys. Rev. B 40, 9194 (1989)
Holstein, T., Primakoff, H.: Phys. Rev. 58, 1098 (1940)
Madelung, O.: Introduction to Solid State Theory. Springer, Berlin (1978)
Glauber, R.J.: Phys. Rev. B 131, 2766 (1963)
de Streke, C.M., Sipe, J.E.: Phys. Rev. A 38, 5149 (1988)
de Streke, C.M., Sipe, J.E.: Phys. Rev. A 39, 5163 (1989)
de Streke, C.M., Sipe, J.E.: J. Opt. Soc. Am. B, Opt. Phys. 6, 1722 (1989)
de Streke, C.M., Sipe, J.E.: Opt. Lett. 14, 871 (1989)
Nietz, V.V.: J. Magn. Magn. Mater. 266, 258–267 (2003)
Boucher, J.P., Pynn, R., Remoissennet, M., Regnault, L.P.: Phys. Rev. Lett. 64, 1557 (1990)
Cao, Y., Musslimani, Z.H., Titi, E.S.: Nonlinearity 21, 879–898 (2008)
Ablowitz, M.J., Segur, H.: Solitons and the Inverse Scattering Transform. SIAM, Philadelphia (1981)
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One of the authors (C.D.) acknowledges the UGC for the Junior Research Fellowship. This work forms part of the Major research Project from UGC, India sanctioned to RA.
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David, C., Arumugam, B. & Rajamani, A. Modeling the Elementary Excitations in an Alternating Cubic Ferrimagnetic Multilayer. J Supercond Nov Magn 27, 215–222 (2014). https://doi.org/10.1007/s10948-013-2243-z
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DOI: https://doi.org/10.1007/s10948-013-2243-z