Hall viscosity from effective field theory

Abstract

For two-dimensional non-dissipative fluids with broken parity, we show via effective field theory methods that the infrared dynamics generically exhibit Hall viscosity--a conservative form of viscosity compatible with two-dimensional isotropy. The equality between the Hall viscosity coefficient and the ground state's intrinsic angular momentum density follows straightforwardly from their descending from the same Lagrangian term of the low-energy effective action. We show that for such fluids sound waves are not purely longitudinal, but acquire an elliptical polarization, with transverse-to-longitudinal aspect ratio proportional to frequency. Our analysis is fully relativistic, thus providing a natural description of (2+1) dimensional relativistic fluids with broken parity.

5 pages

References in corpus (5)

• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Viscosity of Quantum Hall Fluids
• The quantum mechanics of perfect fluids
• Effective Lagrangian and Topological Interactions in Supersolids
• Phonons as Goldstone Bosons

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