Hall viscosity from effective field theory

Alberto Nicolis; Dam Thanh Son

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arXiv · 1103.2137

Hall viscosity from effective field theory

Alberto Nicolis·Dam Thanh Son

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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.

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Alberto Nicolis, Dam Thanh Son. 2011-03-10. Hall viscosity from effective field theory. https://arxiv.org/abs/1103.2137

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