Superconductivity from gauge/gravity duality with flavor

By M. Ammon, Johanna Erdmenger, M. Kaminski, Patrick Kerner. 2008

192 citations recorded by the source corpus.

Abstract We consider thermal strongly-coupled N = 2 SYM theory with fundamental matter at finite isospin chemical potential. Using gauge/gravity duality, i.e. a probe of two flavor D7-branes embedded in the AdS black hole background, we find a critical temperature at which the system undergoes a second order phase transition. The critical exponent of this transition is one half and coincides with the result from mean field theory. In the thermodynamically favored phase, a flavor current acquires a vev and breaks an Abelian symmetry spontaneously. This new phase shows signatures known from superconductivity, such as an infinite dc conductivity and a gap in the frequency-dependent conductivity. The gravity setup allows for an explicit identification of the degrees of freedom in the dual field theory, as well as for a dual string picture of the condensation process.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4eeffe08c97f8fc091a9a465dbf0884c2d6b0514

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Citations in the corpus

Introduction to Holographic Superconductors (2010, background): “This leads to another way to realize holographic superconductors (in the probe limit) in string theory: one can use the SU(2) gauge field realized on a pair of branes [4, 51].”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “Previous holographic studies of anisotropic plasmas include solutions dual to non-commutative SYM theories at finite temperature [10, 11, 12, 13, 14], gravity duals of p-wave superconductors[15, 16, 17, 18, 19, 20, 21], solutions dual to N = 4 SYM theory coupled to electromagnetic fields with [22, 2”
On Holographic p-wave Superfluids with Back-reaction (2009, background): “One string theory realization of SU(2) gauge fields in AdS space is type IIB supergravity in (4 + 1)-dimensional AdS space (times a five-sphere) plus two coincident D7-branes that provide the SU(2) gauge fields [20, 21, 22, 23].”
Lectures on holographic methods for condensed matter physics (2009, background): “For AdS/CFT work on p-wave superconductors see for instance [107, 108, 109, 110, 111, 112].”
Introduction to holographic superconductor models (2015, background): “[87, 88, 89] by embedding a probe of two coincident D7-branes in the AdS black hole background.”
Gauge gravity duality for d-wave superconductors: prospects and challenges (2010, methodology): “See [13] for a similar construction using an M -theory truncation and [14] for a p-wave construction using probe D-branes.”
Landscape of superconducting membranes (2009, methodology): “The minimal bulk action for a holographic superconductor must describe the dynamics of the metric, a Maxwell field and at least one charged field that can condense and sponta(2)Making approximations to the nonabelian DBI action, holographic p wave superconductors [20, 21, 22] can be obtained in stri”
Spatially modulated instabilities of magnetic black branes (2011, methodology): “They were first studied using D-brane probes in [8].”
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].”
Holographic striped phases (2011, methodology): “They were studied using D-brane probes in [8].”
Analytical study on holographic superconductors in external magnetic field (2010, background): “This study has been further extended by investigating how the condensate behaves when the external magnetic field is added to the system [7–13], where the spatially dependent Maxwell sectors have to be considered in the full solutions.”