Skyrmions and Hall viscosity

TL;DR

This paper explores how magnetic Skyrmions influence Hall viscosity and proposes experimental methods to detect their signatures through electric and thermal Hall conductivities, grounded in field theory Ward identities.

Contribution

It introduces a simple experimental identification method for Skyrmion contributions to Hall viscosity using existing data and theoretical Ward identities.

Findings

Skyrmion charge density affects electric Hall conductivity signatures.

In neutral systems, Skyrmion charge density relates to thermal Hall conductivity.

Experimental data shows signatures consistent with theoretical predictions.

Abstract

We discuss the contribution of magnetic Skyrmions to the Hall viscosity and propose a simple way to identify it in experiments. The topological Skyrmion charge density has a distinct signature in the electric Hall conductivity that is identified in existing experimental data. In an electrically neutral system, the Skyrmion charge density is directly related to the thermal Hall conductivity. These results are direct consequences of the field theory Ward identities, which relate various physical quantities based on symmetries and have been previously applied to quantum Hall systems.