Introduction to Holographic Superconductors

By G. Horowitz. 2010

529 citations recorded by the source corpus.

These lectures give an introduction to the theory of holographic superconductors. These are superconductors that have a dual gravitational description using gauge/gravity duality. After introducing a suitable gravitational theory, we discuss its properties in various regimes: the probe limit, the effects of backreaction, the zero temperature limit, and the addition of magnetic fields. Using the gauge/gravity dictionary, these properties reproduce many of the standard features of superconductors. Some familiarity with gauge/gravity duality is assumed. A list of open problems is included at the end.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f2821e841d43488ca9b9aa4818fbb1f665e2fe7c

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Citations in the corpus

Numerical methods for finding stationary gravitational solutions (2015, background): “[26] G.”
n-ary algebras: a review with applications (2010, background): “by the unexpected and recent application of mathematical aspects of M-theory holography to condensed matter physics (see [314, 315] for reviews).”
Complete phase diagrams for a holographic superconductor/insulator system (2010, background): “aneously breaks a U(1) symmetry. In this way, the ﬁeld theory exhibits many properties shared by superconductors andsuperﬂuids. This basic construction has been extended invariousways (forreviews see [7, 8, 9, 10]). Such systems are called holographic superconductors. Above the phase transition, the”
Introduction to holographic superconductor models (2015, unknown): “[7, 8, 9, 10] for reviews.”
A Holographic View on Physics out of Equilibrium (2010, background): “An excellent account of these efforts can be found in the reviews [12, 13, 7, 14].”
Holography of dyonic dilaton black branes (2010, background): “There is hope and excitement that these developments might lead to a better understanding of some quantum critical theories occurring in Nature, for example in superfluid-insulator transitions or in cuprate materials which exhibit high Tc superconductivity [1, 2, 3, 4, 5].”
Superradiance (2015, background): “[18] triggered a flurry of activity in this field that goes well beyond the scope of this work (for a somehow outdated review see [413]).”
Gauge gravity duality for d-wave superconductors: prospects and challenges (2010, background): “graphic superconductor has come to mean a strongly interacting eld theory that undergoes a superconducting or super uid phase transition and that has in addition a dual gravitational description. See [4, 5, 6] for reviews. Holographic superconductors are interesting because they describe condensed p”
Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “For a charged scalar the condensed phase is the well-studied holographic superconductor [93, 94]; for reviews see [51, 52].”
Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “[17] triggered a flurry of activity in this field that goes well beyond the scope of this work (for a somehow outdated review see [316]).”
Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, background): “For a charged scalar field coupled to Einstein–Maxwell theory a similar situation occurs: at small temperatures charged scalar hair forms and the resulting “hairy black holes” are thermodynamically preferred [90–97].”
What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “The critical properties of the theory at s = sc have been studied [7, 14], and an interesting result is obtained: the Fermi surface excitations damp the gauge bosons so that they become ineffective in coupling to the critical b fluctuations.”