Semi classical modeling of isotropic Non-Heisenberg magnets for spin S=1 and linear quadrupole excitation dynamics

TL;DR

This paper develops a semi-classical model for isotropic Non-Heisenberg magnets with spin S=1, deriving equations for linear quadrupole excitations and showing the non-dissipative nature of the optical spin wave branch.

Contribution

It introduces a semi-classical framework using generalized coherent states to describe quadrupole dynamics in Non-Heisenberg magnets with isotropic exchange.

Findings

Optical spin wave branch is non-dissipative.

Derived dissipative spin wave equations for dipole and quadrupole modes.

Applicable to one-dimensional isotropic Non-Heisenberg models.

Abstract

In this paper, equations describing one-dimensional Non-Heisenberg model are studied by use of generalized coherent states in real parameterization and then dissipative spin wave equation for dipole and quadrupole branches is obtained if there is a small linear excitation from the ground state. Finally, it is shown that for such exchange-isotropy Hamiltonians, optical branch of spin wave is non-dissipative.