Magnetic Solitons for Non Heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations

TL;DR

This paper develops a theoretical framework for analyzing magnetic solitons in non-Heisenberg anisotropic systems, deriving dispersion relations and soliton solutions for quadrupole excitations using mean field and coherent state methods.

Contribution

It introduces a novel approach to derive dispersion equations and soliton solutions for quadrupole branches in non-Heisenberg anisotropic magnetic models.

Findings

Derived dispersion relations for dipole and quadrupole spin waves.

Obtained soliton solutions for quadrupole excitations.

Provided a theoretical basis for understanding nonlinear excitations in anisotropic magnetic systems.

Abstract

We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We drive equations describing non-Heisenberg non-isotropic model using coherent states in real parameters and then obtain dispersion equations of spin wave of dipole and quadrupole branches for a small linear excitation from the ground state. In final, soliton solution for quadrupole branches for these linear equations obtained.