Supercurrent: Vector hair for an AdS black hole

By Pallab Basu, Anindya Mukherjee, Hsien-Hang Shieh. 2008

171 citations recorded by the source corpus.

Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601 (2008).] discuss a holographic black hole solution which exhibits a superconductorlike transition. In the superconducting phase the black holes show infinite DC conductivity. This gives rise to the possibility of deforming the solutions by turning on a time independent current (supercurrent), without any electric field. This type of deformation does not exist for normal (nonsuperconducting) black holes, due to the no-hair theorems. In this paper we have studied such a supercurrent solution and the associated phase diagram. Interestingly, we have found a 'special point' (critical point) in the phase diagram where the second order superconducting phase transition becomes first order. Supercurrent in superconducting materials is a well studied phenomenon in condensed matter systems. We have found some qualitative agreement with known results.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/284c7afb221bfc8bed4bfa760f7c2714d055044d

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Citations in the corpus

On Holographic p-wave Superfluids with Back-reaction (2009, background): “[25]? What is the fluid’s response to nonzero superfluid velocities? In similar systems, sufficiently large superfluid velocities also changed the transition from second to first order [31, 32].”
Emergent gauge fields in holographic superconductors (2010, unknown): “Therefore, strictly speaking, these models describe either a superfluid [ 5 , 6] or a superconductor in the gauge-less limit.”
Black holes in asymptotically Lifshitz spacetime (2008, background): “Recently, considerable effort has been put into extending AdS/CFT beyond high-energy physics by constructing gravity models that are conjectured to be dual to various condensed matter systems [4]-[15].”
A theory of first order dissipative superfluid dynamics (2011, methodology): “As has been discussed in detail in [38, 39, 34, 40], to construct a holographic superfluid one needs to spontaneously break a gauge symmetry in an asymptotically AdS geometry.”
Introduction to Holographic Superconductors (2010, methodology): “The superfluid properties of this model have indeed been investigated [4, 8 , 41].”
Holographic Quantum Matter (2016, background): “Bulk gravitational solutions with a nonlinear supercurrent have been constructed in the probe limit in [48; 49; 80; 367] and with full backreaction on the metric in [681].”
A general class of holographic superconductors (2009, background): “(2)Other interesting realizations of holographic superconductors have been introduced in [11, 12, 13, 14, 15, 16, 17, 18].”
Lectures on holographic superfluidity and superconductivity (2009, unknown): “Reference [50] lists more related work.”
Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, background): “This has been discussed at linearized level in [104, 105 (see also [106])] and can indeed be incorporated into the fluid-gravity correspondence [107] (albeit with some effort since the background solutions are only known numerically).”
Analytic holographic superconductor (2010, background): “In this section, we consider a holographic model of a strongly interacting, relativistic, scale invariant superfluid [1, 2, 22, 23].”
Universality class of holographic superconductors (2009, background): “jp 1 For these systems, the U(1) symmetry which is spontaneously broken is a global U(1) symmetry, so it may be more appropriate to use the word holographic superfluids [7, 8].”
Flavor superconductivity from gauge/gravity duality (2009, background): “In particular, gauge/gravity duality models which exhibit properties known from superconductivity have recently been constructed [3–22].”