Holographic model of superfluidity

By Christopher P. Herzog, P. Kovtun, D. Son. 2008

303 citations recorded by the source corpus.

We study a holographic model of a relativistic quantum system with a global U(1) symmetry, at nonzero temperature and density. When the temperature falls below a critical value, we find a second-order superfluid phase transition with mean-field critical exponents. In the symmetry-broken phase, we determine the speed of second sound as a function of temperature. As the velocity of the superfluid component relative to the normal component increases, the superfluid transition goes through a tricritical point and becomes first order.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1aa1b271311588cddcc2b2504e94fbd5a48488a6

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Citations in the corpus

Introduction to holographic superconductor models (2015, background): “So strictly speaking, what one has realized is a dual theory of superfluid [158, 159, 160, 161] rather than superconductor.”
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.”
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].”
Analytic holographic superconductor (2010, background): “Here we define Ai(0) ≡ ξi whereas in [22], ξi was defined to be the phase gradient of the scalar.”
Holographic Quantum Matter (2016, background): “This final result can be derived directly from superfluid hydrodynamics [367].”
Lectures on holographic methods for condensed matter physics (2009, background): “21 The result for the real (dissipative) part of the conductivity at low temperatures for several values of q and for a particular value (21)A full treatment of transport at finite momentum in the superconducting phase will have to allow for mixing of the conserved currents with excitations of the s”
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].”
Holographic stress tensor for non-relativistic theories (2009, background): “There have also been attempts to model interesting condensed matter systems using a corresponding gravitational dual [6, 7, 8, 9].”
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.”
A general class of holographic superconductors (2009, background): “7 A similar behavior was first observed in [19], in the case of holographic superfluids in the presence of a non-zero fluid velocity.”
Introduction to Holographic Superconductors (2010, background): “The superfluid properties of this model have indeed been investigated [34, 6, 3].”
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]-[14].”
Holographic superconductors with various condensates (2008, background): “(For other work on holographic superconductors, see [4]-[12].”
Lectures on holographic superfluidity and superconductivity (2009, unknown): “[44]).”