Three-dimensional static vortex solitons in incommensurate magnetic crystals

TL;DR

This paper predicts a new type of three-dimensional magnetic soliton in ferromagnets, characterized by vortex structures and influenced by Dzyaloshinsky-Moriya interaction and external magnetic fields.

Contribution

It introduces a novel class of static 3D vortex solitons in magnetic crystals, analyzing their structure, energy dependence, and existence conditions.

Findings

Static 3D vortex solitons with finite energy are predicted.

Solitons have a Hopf index H=0 and vortex structure.

Energy dependence on external magnetic field is characterized.

Abstract

A new type of three-dimensional magnetic soliton in easy-axis ferromagnets is predicted by taking simultaneous account of the Dzyaloshinsky-Moriya interaction and an external magnetic field. The numerically obtained static three-dimensional solitons with a finite energy are characterized by a Hopf topological index H=0 and have a vortex structure. The structure of these solitons and the dependence of their energy on the external field are determined. The asymptotic behavior of these solitons is investigated and a necessary condition for their existence is found.