Soliton-Magnon Scattering in Two-Dimensional Isotropic Ferromagnets

TL;DR

This paper investigates how magnons scatter off topological solitons in two-dimensional isotropic ferromagnets, providing analytical solutions and insights into the interaction effects on magnon spectra and soliton dynamics.

Contribution

It offers the first analytical solutions for magnon scattering by 2D Belavin-Polyakov solitons, including exact results for specific modes and approximations for others.

Findings

Exact scattering solutions for m=1 mode

Long- and short-wave approximations for other modes

Derived magnon density of states related to soliton interaction

Abstract

It is studied the scattering of magnons by the 2d topological Belavin-Polyakov soliton in isotropic ferromagnet. Analytical solutions of the scattering problem are constructed: (i) exactly for any magnon wave vectors for the partial wave with the azimuthal number m=1 (translational mode), and (ii) in the long- and short-wave limits for the rest modes. The magnon mode frequencies are found for the finite size magnets. An effective equation of the soliton motion is constructed. The magnon density of states, connected with the soliton-magnon interaction, is found in a long-wave approximation.