Hall viscosity and conductivity of two-dimensional chiral superconductors

Abstract

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 + 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.

Quantum Hall effective action for anisotropic Dirac semi-metal

“…To shed light on the generic low energy properties of such quantum Hall states, we construct an effective action for systems with a semi-Dirac phase. Our construction contributes to the quest of understanding Hall viscosities; non-dissipative transport coefficients that emerge in the context of topological order [19][20][21][22][23][24][25], fluid dynamics [26][27][28][29][30][31][32][33][34][35][36][37] or active matter [38][39][40][41][42][43]. Initially thought as an elusive transport property, Hall viscosity has been experimentally identified in both hard- [44] and soft- [45] condensed matter experiments.…”

Intrinsic sign problem in fermionic and bosonic chiral topological matter

“…( 3) is valid if this symmetry breaking is explicit, i.e H does not commute with P and T separately. Here we consider the case where H is P, T -symmetric, but these are broken down to PT spontaneously, as in e.g intrinsic topological superfluids and superconductors [61,98,99]. We first generalize Eq.…”