Spin Hall effect of vorticity

TL;DR

This paper explores the spin Hall effect of vorticity in easy-plane magnets, revealing how vorticity flow generates transverse spin currents and analyzing the transition from superfluid to diffusive spin transport.

Contribution

It introduces the concept of the spin Hall effect of vorticity and studies its behavior across the BKT transition, highlighting the roles of dissipation and spin non-conservation.

Findings

Vorticity flow induces transverse spin currents.

The effect varies across the BKT transition.

Dissipation and spin non-conservation influence transport regimes.

Abstract

Using mapping between topological defects in an easy-plane magnet and electrical charges, we study interplay between vorticity and spin currents. We demonstrate that the flow of vorticity is accompanied by the transverse spin current generation -- an effect which can be termed as the spin Hall effect of vorticity. We study this effect across the BKT transition and establish the role of dissipation and spin non-conservation in the crossover from spin superfluidity to diffusive spin transport. Our results pave the way for low power computing devices relying on vorticity and spin flows.