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Phys. Rev. D 79, 066002 (2009) [11 pages]

Holographic model of superfluidity

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C. P. Herzog
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA

P. K. Kovtun
Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia, V8P 5C2, Canada

D. T. Son
Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA

Received 30 December 2008; published 4 March 2009

We study a holographic model of a relativistic quantum system with a global U(1) symmetry, at nonzero temperature and density. When the temperature falls below a critical value, we find a second-order superfluid phase transition with mean-field critical exponents. In the symmetry-broken phase, we determine the speed of second sound as a function of temperature. As the velocity of the superfluid component relative to the normal component increases, the superfluid transition goes through a tricritical point and becomes first order.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.066002
DOI:
10.1103/PhysRevD.79.066002
PACS:
11.25.Tq, 04.70.Bw, 74.20.−z