Effective theory of chiral two-dimensional superfluids

TL;DR

This paper develops an effective field theory for a chiral p-wave 2D superfluid, capturing key parity-violating effects and response properties, with implications for vortex behavior and edge phenomena.

Contribution

It introduces a leading-order effective theory for chiral superfluids that respects nonrelativistic invariance and includes novel parity-violating effects.

Findings

Derived particle current and stress tensor responses.

Identified leading chirality effects in vortex density profiles.

Calculated Hall viscosity and edge currents.

Abstract

We construct, to leading orders in the momentum expansion, an effective theory of a chiral $p_x + ip_y$ two-dimensional fermionic superfluid at zero temperature that is consistent with nonrelativistic general coordinate invariance. This theory naturally incorporates the parity and time reversal violating effects such as the Hall viscosity and the edge current. The particle number current and stress tensor are computed and their linear response to electromagnetic and gravitational sources is calculated. We also consider an isolated vortex in a chiral superfluid and identify the leading chirality effect in the density depletion profile.