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The many phases of holographic superfluids

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Abstract

We investigate holographic superfluids in AdS d+1 with d =3, 4 in the nonbackreacted approximation for various masses of the scalar field. In d =3 the phase structure is universal for all the masses that we consider: the critical temperature decreases as the superfluid velocity increases, and as it is cranked high enough, the order of the phase transition changes from second to first. Surprisingly, in d = 4 we find that the phase structure is more intricate. For sufficiently high mass, there is always a second order phase transition to the normal phase, no matter how high the superfluid velocity. For some parameters, as we lower the temperature, this transition happens before a first order transition to a new super conducting phase. Across this first order transition, the gap in the transverse conductivity jumps from almost zero to about half its maximum value. We also introduce a double scaling limit where we can study the phase transitions(semi-)analytically in the large velocity limit. The results corroborate and complement our numerical results. In d =4, this approach has the virtue of being fully analytically tractable.

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Authors and Affiliations

  1. SISSA, via Bonomea 265, I-34136, Trieste, Italy

    Daniel Arean & Chethan Krishnan

  2. INFN -Sezione di Trieste, Via Valerio, 2, 34127, Trieste, Italia

    Daniel Arean & Chethan Krishnan

  3. University of British Columbia, Vancouver, V6T 1Z1, Canada

    Pallab Basu

Authors
  1. Daniel Arean
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  2. Pallab Basu
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  3. Chethan Krishnan
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Correspondence to Chethan Krishnan.

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ArXiv ePrint: 1006.5165

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Arean, D., Basu, P. & Krishnan, C. The many phases of holographic superfluids. J. High Energ. Phys. 2010, 6 (2010). https://doi.org/10.1007/JHEP10(2010)006

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