Hall viscosity and conductivity of two-dimensional chiral superconductors

Rose, FelixTechnische Universität München, DEU; Max-Planck-Institut für Quantenoptik, DEU; Munich Center for Quantum Science and Technology (MCQST), DEU (author)

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

Golan, OmriWeizmann Institute of Science, ISR (author)
Moroz, SergejTechnische Universität München, DEU; Munich Center for Quantum Science and Technology (MCQST), DEU(Swepub:kau)sergmoro (author)
Technische Universität München, DEU; Max-Planck-Institut für Quantenoptik, DEU; Munich Center for Quantum Science and Technology (MCQST), DEUWeizmann Institute of Science, ISR (creator_code:org_t)

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