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arXiv · 1408.5911

Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation

Sergej Moroz·Carlos Hoyos
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Abstract

We present a theory of Galilean-invariant conventional and chiral $p_x \pm ip_y$ fermionic superfluids at zero temperature in two spatial dimensions in terms of a dual gauge theory. Our formulation is general coordinate invariant. The parity-violating effects are encoded in the Wen-Zee term that gives rise to the Hall viscosity and edge current. We show that the relativistic superfluid with the Euler current reduces to the chiral superfluid in the limit $c\to\infty$. Using Newton-Cartan geometry we construct the covariant formulation of the effective theory and calculate the energy current.

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Sergej Moroz, Carlos Hoyos. 2014-08-25. Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation. https://doi.org/10.1103/physrevb.91.064508

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