Magnetic solitons in frustrated ferromagnetic spin chain

TL;DR

This paper investigates classical magnetic solitons in a frustrated ferromagnetic spin chain, analyzing their existence, energy dependence on anisotropy, and behavior near phase transitions, with implications for quantum models and finite-size effects.

Contribution

It provides a detailed analysis of soliton solutions near phase transitions in a frustrated spin chain, including their energy dependence, existence conditions, and comparison with quantum bound states.

Findings

Solitons persist in the spiral phase with size restrictions.

Soliton energy depends on small anisotropy parameter.

Finite-size effects influence soliton formation and stability.

Abstract

We study the classical anisotropic ferromagnetic spin chain with frustration. The behavior of soliton and kink solutions in the vicinity of the ground state phase transition from the ferromagnetic to the spiral phase is studied. The dependence of the soliton energy on small anisotropy parameter is established using scaling estimates and numerical minimization of the energy functional. Conditions of the existence of the solitons are determined. It is shown that solitons survive in the spiral phase though with some restrictions on their size. A comparison of the energies of the classical solitons and the bound magnon complexes in the quantum model shows the functional similarity between them. The influence of the finite-size effects on the soliton states is studied and it is shown that the localized solitons originate from the uniform state when the system size exceeds some critical value depending on the anisotropy.