Dynamic and Static Excitations of a Classical Discrete Anisotropic Heisenberg Ferromagnetic Spin Chain

Abstract

Using Jacobi elliptic function addition formulas and summation identities we obtain several static and moving periodic soliton solutions of a classical anisotropic, discrete Heisenberg spin chain with and without an external magnetic field. We predict the dispersion relations of these nonlinear excitations and contrast them with that of magnons and relate these findings to the materials realized by a discrete spin chain. As limiting cases, we discuss different forms of domain wall structures and their properties.

arXiv commentAccepted for publication in Physica D

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Cited by in corpus (5)

• The Fascinating World of Landau-Lifshitz-Gilbert Equation: An Overview
• Intrinsic Localized Modes of a Classical Discrete Anisotropic Heisenberg Ferromagnetic Spin Chain
• Exact Intrinsic Localized Excitation of an Anisotropic Ferromagnetic Spin Chain in External Magnetic Field with Gilbert Damping, Spin Current and PT-Symmetry
• Spin-transfer torque driven localized spin excitations in the presence of field-like torque
• Decomposition of modified Landau-Lifshitz-Gilbert equation and corresponding analytic solutions