Journal of High Energy Physics

, 2010:6

The many phases of holographic superfluids

Authors

  • Daniel Arean
    • SISSA
    • INFN -Sezione di Trieste
  • Pallab Basu
    • University of British Columbia
    • SISSA
    • INFN -Sezione di Trieste
Article

DOI: 10.1007/JHEP10(2010)006

Cite this article as:
Arean, D., Basu, P. & Krishnan, C. J. High Energ. Phys. (2010) 2010: 6. doi:10.1007/JHEP10(2010)006

Abstract

We investigate holographic superfluids in AdSd+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.

Keywords

Spontaneous Symmetry BreakingAdS-CFT CorrespondenceBlack Holes

Copyright information

© SISSA, Trieste, Italy 2010