Fourth sound of holographic superfluids
arXiv:0903.1353 · doi:10.1088/1126-6708/2009/07/070
Abstract
We compute fourth sound for superfluids dual to a charged scalar and a gauge field in an AdS_4 background. For holographic superfluids with condensates that have a large scaling dimension (greater than approximately two), we find that fourth sound approaches first sound at low temperatures. For condensates that a have a small scaling dimension it exhibits non-conformal behavior at low temperatures which may be tied to the non-conformal behavior of the order parameter of the superfluid. We show that by introducing an appropriate scalar potential, conformal invariance can be enforced at low temperatures.
arXiv comment20 pages, 6 figures; removed a discussion on a variant of fourth sound
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