3D Analytical Model of Skyrmions and Skyrmion-like Structures in a Two-sublattice Antiferromagnet with Dzyaloshinskii-Moriya Interaction

TL;DR

This paper develops an analytical model describing skyrmions and skyrmion-like structures in a two-sublattice antiferromagnet, revealing relativistic effects on their size and transformations at different velocities.

Contribution

It introduces a new analytical framework for understanding skyrmion dynamics in antiferromagnets with Dzyaloshinskii-Moriya interaction, including relativistic size contraction and supercritical transformations.

Findings

Relativistic contraction of skyrmion size at subcritical velocities.

Lorentz-like transformations of skyrmion structures at supercritical velocities.

Analytical description of skyrmion behavior in antiferromagnetic materials.

Abstract

The analytical model is developed for description of skyrmions and skyrmion-like magnetic structures in a two-sublattice antiferromagnet with uniaxial magnetic anisotropy and Dzyaloshinskii-Moriya interaction. Relativistic contraction of skyrmion size in the direction of motion is demonstrated for subcritical case when the skyrmion velocity is less than spin wave velocity in antiferromagnet. Lorentz-like supercritical transformation are found for skyrmion-like magnetic structures moving with velocity greater than spin wave velocity in antiferromagnet.