Existence and stability of localized breather modes in a Heisenberg helimagnet under biquadratic exchange interactions

J. Akhalya () and M. M. Latha
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J. Akhalya: Women’s Christian College
M. M. Latha: Women’s Christian College

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 2, 1-12

Abstract: Abstract Discrete bright and dark type breather modes in a one dimensional Heisenberg helimagnet with biquadratic exchange interactions is studied under semiclassical treatment. The dynamics governed by a nonlinear partial differential equation is solved by applying multiple scales combined with quasi-discreteness approximation and reduced to a Nonlinear Schr $$\ddot{o}$$ o ¨ dinger Equation (NLSE). Based on the solution of NLSE derived by Inverse Scattering Technique (IST), the impact of exchange interaction on the breather modes are analysed. The Modulational Instability (MI) features of the present system is also investigated via linear stability analysis. Graphic Abstract

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00653-z

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