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Modulational instability and nano-scale energy localization in ferromagnetic spin chain with higher order dispersive interactions

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Kavitha,  L.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Mohamadou,  A.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Kavitha, L., Mohamadou, A., Parasuraman, E., Gopi, D., Akila, N., & Prabhu, A. (2016). Modulational instability and nano-scale energy localization in ferromagnetic spin chain with higher order dispersive interactions. Journal of Magnetism and Magnetic Materials, 404, 91-118. doi:10.1016/j.jmmm.2015.11.036.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-B685-B
Abstract
The nonlinear localization phenomena in ferromagnetic spin lattices have
attracted a steadily growing interest and their existence has been
predicted in a wide range of physical settings. We investigate the onset
of modulational instability of a plane wave in a discrete ferromagnetic
spin chain with physically significant higher order dispersive
octupole-dipole and dipole-dipole interactions. We derive the discrete
nonlinear equation of motion with the aid of Holstein-Primakoff (H-P)
transformation combined with Glauber's coherent state representation. We
show that the discrete ferromagnetic spin dynamics is governed by an
entirely new discrete NLS model with complex coefficients not reported
so far. We report the study of modulational instability (MI) of the
ferromagnetic chain with long range dispersive interactions both
analytically in the frame work of linear stability analysis and
numerically by means of molecular dynamics (MD) simulations. Our
numerical simulations explore that the analytical predictions correctly
describe the onset of instability. It is found that the presence of the
various exchange and dispersive higher order interactions systematically
favors the local gathering of excitations and thus supports the growth
of high amplitude, long-lived discrete breather (DB) excitations. We
analytically compute the strongly localized odd and even modes. Further,
we employ the Jacobi elliptic function method to solve the nonlinear
evolution equation and an exact propagating bubble-soliton solution is
explored. (C) 2015 Elsevier B.V. All rights reserved.