SciPost Phys. 9, 006 (2020) ·
published 14 July 2020

· pdf
We compute the Hall viscosity and conductivity of nonrelativistic
twodimensional chiral superconductors, where fermions pair due to a
shortrange attractive potential, e.g. $p+\mathrm{i}p$ pairing, and interact
via a longrange 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 mixeddimensional
chiral superconductors, where the Coulomb potential decays as inverse distance,
we find an intermediate behavior between intrinsic twodimensional
superconductors and superfluids. These results are obtained by means of both
effective and microscopic field theory.
Dr Rose: "We are grateful to the referee..."
in Report on Hall viscosity and conductivity of twodimensional chiral superconductors