Pairing of Solitons in Two-Dimensional S=1 Magnets

TL;DR

This paper investigates the behavior of topological solitons in a two-dimensional S=1 magnet model, revealing how symmetry perturbations cause odd-charged solitons to become unstable and form pairs, highlighting new soliton dynamics.

Contribution

It introduces the analysis of soliton pairing in a non-Heisenberg S=1 magnet model near SU(3) symmetry, showing how perturbations affect soliton stability and interactions.

Findings

Odd topological charge solitons become unstable under symmetry perturbations.

Solitons with odd charge tend to bind into pairs.

The model highlights the role of SU(3) symmetry in soliton stability.

Abstract

We discuss the structure of topological solitons in a general non-Heisenberg model of isotropic two-dimensional magnet with spin S=1, in the vicinity of a special point where the model symmetry is enhanced to SU(3). It is shown that upon perturbing the SU(3) symmetry, solitons with odd topological charge become unstable and bind into pairs.