Building an AdS/CFT superconductor

@inproceedings{Hartnoll2008BuildingAA,
  title={Building an AdS/CFT superconductor},
  author={Sean A. Hartnoll and Christopher P. Herzog and Gary T. Horowitz},
  year={2008}
}
We show that a simple gravitational theory can provide a holographically dual description of a superconductor. There is a critical temperature, below which a charged condensate forms via a second order phase transition and the (DC) conductivity becomes infinite. The frequency dependent conductivity develops a gap determined by the condensate. We find evidence that the condensate consists of pairs of quasiparticles. 

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References

SHOWING 1-10 OF 17 REFERENCES

String theory and quantum chromodynamics

I review recent progress on the connection between string theory and quantum chromodynamics in the context of the gauge/gravity duality. Emphasis is placed on conciseness and conceptual aspects

Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes

We present a general hydrodynamic theory of transport in the vicinity of superfluid-insulator transitions in two spatial dimensions described by ``Lorentz''-invariant quantum critical points. We

Ohm's law at strong coupling: S duality and the cyclotron resonance

We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting 2+1-dimensional conformal field theories with anti-de Sitter space duals.

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications

We formulate a prescription for computing Minkowski-space correlators from AdS/CFT correspondence. This prescription is shown to give the correct retarded propagators at zero temperature in four

Holographic description of AdS cosmologies

To gain insight in the quantum nature of the big bang, we study the dual field theory description of asymptotically anti-de Sitter solutions of supergravity that have cosmological singularities. The

Hall conductivity from dyonic black holes

A class of strongly interacting $2+1$ dimensional conformal field theories in a transverse magnetic field can be studied using the AdS/CFT duality. We compute zero momentum hydrodynamic response

Quantum critical transport, duality, and M-theory

We consider charge transport properties of 2+1 dimensional conformal field theories at non-zero temperature. For theories with only Abelian U(1) charges, we describe the action of particle-vortex

Ads/CFT correspondence and symmetry breaking

Concepts in High Temperature Superconductivity

The authors discuss concepts used by them and others for studying high temperature superconductivity. These shed some light on basic questions. Suggestions are presented which stimulate thoughtful

Anti-de Sitter space and holography

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of