Generalizing Thiele Equation

TL;DR

This paper extends the Thiele equation to include transverse velocity for skyrmion motion, explaining disparities in Hall angles and revealing new physical insights near angular momentum compensation points.

Contribution

The authors generalize the Thiele equation with transverse velocity, providing a new framework to analyze skyrmion and antiskyrmion Hall angles and their disparities.

Findings

Disparity in skyrmion and antiskyrmion Hall angles explained

Differences in Hall angles near angular momentum compensation point identified

A physical quantity responsible for Hall angle disparity proposed

Abstract

We generalize the Thiele equation with a transverse velocity to the skyrmion motion described by the collective coordinate of magnetization vector. It is applied to investigate significant disparity in the existing data sets of skyrmion and antiskyrmion Hall angles. Our analysis further reveals interesting differences of these Hall angles near the angular momentum compensation point. We identify a possible physical quantity that is responsible for the disparity.