Hall Viscosity and Electromagnetic Response

TL;DR

This paper demonstrates that in Galilean invariant quantum Hall states, the Hall viscosity influences the electromagnetic response at finite wave numbers, revealing a universal q^2 contribution to the Hall conductivity in strong magnetic fields.

Contribution

It establishes a direct link between Hall viscosity and electromagnetic response, highlighting the universal nature of the q^2 term in Hall conductivity at high magnetic fields.

Findings

Hall viscosity affects electromagnetic response at finite wave numbers.

The q^2 coefficient in Hall conductivity is universal in strong magnetic fields.

Hall viscosity contribution appears in the small q expansion of Hall conductivity.

Abstract

We show that, for Galilean invariant quantum Hall states, the Hall viscosity appears in the electromagnetic response at finite wave numbers q. In particular, the leading q dependence of the Hall conductivity at small q receives a contribution from the Hall viscosity. The coefficient of the q^2 term in the Hall conductivity is universal in the limit of strong magnetic field.