SciPost Phys. 9, 006 (2020) ·
published 14 July 2020
|
· pdf
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. For mixed-dimensional
chiral superconductors, where the Coulomb potential decays as inverse distance,
we find an intermediate behavior between intrinsic two-dimensional
superconductors and superfluids. These results are obtained by means of both
effective and microscopic field theory.
