Superfluid Black Holes

Abstract

We present what we believe is the first example of a "$\lambda$-line" phase transition in black hole thermodynamics. This is a line of (continuous) second order phase transitions which in the case of liquid ${}^4$He marks the onset of superfluidity. The phase transition occurs for a class of asymptotically AdS hairy black holes in Lovelock gravity where a real scalar field is conformally coupled to gravity. We discuss the origin of this phase transition and outline the circumstances under which it (or generalizations of it) could occur.

5 pages, 2 figures

References in corpus (6)

• Building an AdS/CFT superconductor
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• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Isolated critical point from Lovelock gravity
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Cited by in corpus (11)

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• Higher Order Corrections to Holographic Black Hole Chemistry
• Peculiar $P-V$ criticality of topological Hořava-Lifshitz black holes
• Circular orbit of a test particle and phase transition of a black hole
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Black holes in quasi-topological gravity and conformal couplings
• Competing s-wave orders from Einstein-Gauss-Bonnet gravity
• Thermodynamic Volume of Cosmological Solitons
• Fractional-order phase transition of charged AdS black holes
• Charged Lovelock black holes in the presence of dark fluid with a nonlinear equation of state