Hall Viscosity and Electromagnetic Response

TL;DR

It is shown that, for Galilean invariant quantum Hall states, the Hall viscosity appears in the electromagnetic response at finite wave numbers q, and the coefficient of the q(2) term in the Hall conductivity is universal in the limit of strong magnetic field.

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.

Figures (1)

• Figure 1: Pattern of flow in an inhomogeneous electric field.