Hall Viscosity and Electromagnetic Response

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.

Figure 1

Pattern of flow in an inhomogeneous electric field.