Hall viscosity and conductivity of two-dimensional chiral superconductors

Understand

We compute the Hall viscosity and conductivity of non-relativistic two-dimensional chiral superconductors, where fermions pair due to a short-range attractive potential, e.g.

• $p+\mathrm{i}p$ pairing, and interact via a long-range repulsive Coulomb force.
• For a logarithmic Coulomb potential, the Hall viscosity tensor contains a contribution that is singular at low momentum, which encodes corrections to pressure induced by an external shear strain.
• Due to this contribution, the Hall viscosity cannot be extracted from the Hall conductivity in spite of Galilean symmetry.