Spin waves scattering on a Bloch point

TL;DR

This paper demonstrates that spin wave dynamics near a Bloch point can be mapped to a quantum electron in a monopole field, enabling analytical solutions for wave spectrum and scattering properties.

Contribution

It introduces a formal equivalence between spin wave perturbations around a Bloch point and a quantum monopole problem, providing analytical insights.

Findings

Analytical spectrum of spin waves near a Bloch point

Explicit scattering solutions in the monopole field

Mapping of spin wave dynamics to quantum monopole system

Abstract

We show that, after a transformation, the dynamics of linear perturbations (spin waves) around a singular Bloch point soliton is formally equivalent to a quantum system of an electron in a magnetic monopole field. The analytical solution to this problem is known and allows us to find the spectrum and the scattering of a wave in a Bloch point field.