# Skyrmion-generated spinmotive forces in inversion broken ferromagnets

## TL;DR

This paper analytically investigates the spinmotive force generated by moving magnetic skyrmions in inversion broken ferromagnets, revealing how skyrmion structure and spin-orbit couplings influence the induced electrical voltage.

## Contribution

It provides explicit formulas for the spin-dependent electric fields caused by Rashba and Dresselhaus SOCs in skyrmion dynamics, advancing understanding of skyrmion-induced voltages.

## Key findings

- SMF depends on skyrmion type and polarity
- Explicit formulas for electric fields from SOCs are derived
- Estimates of voltage signals for experiments are provided

## Abstract

We present an analytical study on the spinmotive force (SMF) generated by translational motion of magnetic skyrmion. A SMF refers to an electrical voltage induced by dynamical magnetic textures, which reflects the spatiotemporal variation of the magnetization. The dynamics of a skyrmion thus can be detected by a SMF measurement, which may play an important role in future skyrmion-based technologies. We find the dependence of the SMF on skyrmion structure (e.g., skyrmion or anti-skyrmion, N\'{e}el or Bloch type, and the polarity of the skyrmion core) and Rashba and Dresselhaus spin-orbit couplings (SOCs). To this end, we derive explicit formulae for the spin-dependent electric fields originating from the two SOCs. Our findings offer a comprehensive understanding of the phenomenon and an estimation of the electrical voltage signal associated with a moving skyrmion for a given experiment.