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2014

Lifshitz Superfluid Hydrodynamics

Chapman, Shira, Hoyos, Carlos, Oz, Yaron

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We construct the first order hydrodynamics of quantum critical points with Lifshitz scaling and a spontaneously broken symmetry.

The fluid is described by a combination of two flows, a normal component that carries entropy and a super-flow which has zero viscosity and carries no entropy.
We analyze the new transport effects allowed by the lack of boost invariance and constrain them by the local second law of thermodynamics.
Imposing time-reversal invariance, we find eight new parity even transport coefficients.

Lifshitz Superfluid Hydrodynamics · Around

Built on

E. M. Lifshitz and L. D. Landau, “Course of Theoretical Physics, volume 6, Fluid Mechanics”, Pergamon Press (1959)
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Seth J. Putterman “Superfluid hydrodynamics”, North-Holland series in low temperature physics, Amsterdam (1974)
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S. Weinberg The Quantum Theory of Fields
1995
Earlier work this paper cites.
Coleman, P. and Schofield, A. J., ”Quantum criticality”, Nature
2005
Earlier work this paper cites.

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C. Hoyos, B. S. Kim and Y. Oz, “Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity”, [ arXiv:1309.6794 ]
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J. Bhattacharya, S. Bhattacharyya, S. Minwalla and A. Yarom, “A Theory of first order dissipative superfluid dynamics”, [ arXiv:1105.3733 ]
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Cited in the paper.

Then

C. Hoyos, B. S. Kim and Y. Oz, “Lifshitz Hydrodynamics”, JHEP 1311
Original
2013
Later among the works it cites.
S. Bhattacharyya, S. Jain, S. Minwalla and T. Sharma, “Constraints on Superfluid Hydrodynamics from Equilibrium Partition Functions”, JHEP 1301
2013
Later among the works it cites.
Gegenwart, P. and Si, Q. and Steglich, F., ”Quantum criticality in heavy-fermion metals”, Nature Physics
Original
2045
Closest in time.

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