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

TL;DR

This paper derives static and moving soliton solutions for a discrete anisotropic Heisenberg spin chain, predicts their dispersion relations, and explores domain wall structures, enhancing understanding of nonlinear excitations in magnetic materials.

Contribution

It introduces new soliton solutions and dispersion relations for a classical discrete anisotropic Heisenberg spin chain using elliptic functions.

Findings

Derived static and moving soliton solutions

Predicted dispersion relations of nonlinear excitations

Analyzed domain wall structures and their properties

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.