Holographic Superconductors

By S. Hartnoll, Christopher P. Herzog, G. Horowitz. 2008

1,362 citations recorded by the source corpus.

It has been shown that a gravitational dual to a superconductor can be obtained by coupling anti-de Sitter gravity to a Maxwell field and charged scalar. We review our earlier analysis of this theory and extend it in two directions. First, we consider all values for the charge of the scalar field. Away from the large charge limit, backreaction on the spacetime metric is important. While the qualitative behaviour of the dual superconductor is found to be similar for all charges, in the limit of arbitrarily small charge a new type of black hole instability is found. We go on to add a perpendicular magnetic field B and obtain the London equation and magnetic penetration depth. We show that these holographic superconductors are Type II, i.e., starting in a normal phase at large B and low temperatures, they develop superconducting droplets as B is reduced.

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

View Paper: https://www.semanticscholar.org/paper/58898781c4380a6418929b6c8325e2801030e8cd

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Citations in the corpus

Electron stars for holographic metallic criticality (2010, neutral): “obtain a single equation for A x A00 x+ 1 2 f0 f g0 g A0 x+ !2g f g˙^2 p^+ ^ˆ 2h02 f A x= 0: (5.5) The structure of this equation is similar to that arising in holographic superconductors [48]. There is a ‘mass’ term due to screening in this case rather than electromagnetic symmetry breaking. Th”
Lectures on holographic methods for condensed matter physics (2009, methodology): “The result for several values of q and for a particular value of the mass squared is shown in figure 12, taken from [106].”
Flavor superconductivity from gauge/gravity duality (2009, methodology): “in [3, 7, 13], as well as a realization of a superconducting current from a top-down (super-)gravity model, rather than in a phenomenological bottom-up AdS/QCD model.”
Lectures on holographic superfluidity and superconductivity (2009, methodology): “A similar equation holds for the model with ∆ = 2, but the confirmation requires numerics [48].”
Holography of charged dilaton black holes (2009, methodology): “5) Here we have anticipated, following [32, 33], that gxt will be turned on at the same order as the gauge field perturbation; and we are working to lowest nontrivial order in Ax and gxt.”
Zero temperature limit of holographic superconductors (2009, background): “Assuming translational symmetry and harmonic time dependence, the perturbation satisfies [14]”
Holographic striped phases (2011, background): “These instabilities and the back reacted black branes were first studied in a bottom up context in [1][2][3] and then subsequently embedded into D=11 and D=10 supergravity in [4][5][6][7].”
Analytic calculation of properties of holographic superconductors (2010, methodology): “In recent years it has been shown using the AdSd+1/CFTd correspondence [3] that for d = 3 and d = 4 we can create a strongly coupled superconducting system from its gravitational dual [4–7], also including an external magnetic field [8, 9].”
Superradiance (2015, neutral): “[412].”
Analytic holographic superconductor (2010, background): “As emphasized in this context in [27], that the limits commute implies the system really does become a superconductor below Tc.”
Spatially modulated instabilities of magnetic black branes (2011, background): “Such superfluid black branes were first analysed in phenomenological theories of gravity [1, 2, 3] and then in consistent truncations of D = 10, 11 supergravity [4, 5, 6, 7].”
Holographic Duality with a View Toward Many-Body Physics (2009, background): “If we put a charged boson in this geometry, we find the holographic superconductor phenomenon ([57, 58, 59], for a review see [60]).”
Semi-local quantum liquids (2011, background): “which on the gravity side corresponds to violating the Breitenlohner-Freedman bound [52] of AdS2 [35, 53–55].”
Black hole determinants and quasinormal modes (2009, background): “Examples of situations where this occurs include hydrodynamic poles [34, 35], cyclotron resonances [36, 37], near the onset of bosonic instabilities such as superconductivity [38, 39, 40] and in the vicinity of Fermi surfaces [41, 42, 43, 44].”
Holographic Quantum Matter (2016, background): “In such cases, an instability occurs whenever the effective IR mass in (629) obeys the instability criterion (627), verified explicitly in [185; 311; 340].”