Fourth sound of holographic superfluids

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.

20 pages, 6 figures; removed a discussion on a variant of fourth sound

References in corpus (7)

• Building an AdS/CFT superconductor
• Nonlinear Fluid Dynamics from Gravity
• Holographic Superconductors with Various Condensates
• Colorful horizons with charge in anti-de Sitter space
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
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• Scanning the Parameter Space of Holographic Superconductors
• Statical Structures of the BCS-like Holographic Superfluid in AdS4 Spacetime