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Abstract: We investigate holographic superfluids in AdS {d+1} with d=3,4 in thenon-backreacted approximation for various masses of the scalar field. In d=3the phase structure is universal for all the masses that we consider: thecritical temperature decreases as the superfluid velocity increases, and as itis cranked high enough, the order of the phase transition changes from secondto first. Surprisingly, in d=4 we find that the phase structure is moreintricate. For sufficiently high mass, there is always a second order phasetransition to the normal phase, no matter how high the superfluid velocity. Forsome parameters, as we lower the temperature, this transition happens before afirst order transition to a new superconducting phase. Across this first ordertransition, the gap in the transverse conductivity jumps from almost zero toabout half its maximum value. We also introduce a double scaling limit where wecan study the phase transitions semi-analytically in the large velocitylimit. The results corroborate and complement our numerical results. In d=4,this approach has the virtue of being fully analytically tractable.

Autor: Daniel Arean, Pallab Basu, Chethan Krishnan


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