# Hydrodynamics of three-dimensional skyrmions in frustrated magnets

## TL;DR

This paper investigates the behavior and detection of three-dimensional skyrmions in frustrated magnets, revealing their dynamics, how they can be electrically injected and detected, and their unique transport signatures.

## Contribution

It introduces a new theoretical framework for skyrmion nucleation, dynamics, and electrical detection in SO(3) frustrated magnetic systems, including novel spin-transfer torque and pumping force expressions.

## Key findings

- Derived spin-transfer torque expression for skyrmion charge injection
- Identified algebraic decay of nonlocal drag signals due to topological charge flow
- Contrasted skyrmion-mediated effects with spin supercurrent phenomena

## Abstract

We study the nucleation and collective dynamics of Shankar skyrmions [R. Shankar, Journal de Physique 38, 1405 (1977)] in the class of frustrated magnetic systems described by an SO(3) order parameter, including multi-lattice antiferromagnets and amorphous magnets. We infer the expression for the spin-transfer torque that injects skyrmion charge into the system and the Onsager-reciprocal pumping force that enables its detection by electrical means. The thermally-assisted flow of topological charge gives rise to an algebraically decaying drag signal in nonlocal transport measurements. We contrast our findings to analogous effects mediated by spin supercurrents.