# 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.

## 164 Citations

### Inhomogeneous magnetic field in AdS/CFT superconductor

- Physics
- 2008

We study the holographically dual description of superconductor in (2+1)-dimensions in the presence of inhomogeneous magnetic field and observe that there exists type I and type II superconductor. A…

### Holographic superconductor model in a spatially anisotropic background

- Physics
- 2014

We investigate an anisotropic model of superconductors in the Einstein-Maxwell-dilaton theory with a charged scalar field. It is found that the critical temperature decreases as the anisotropy…

### General Holographic Superconductor Models in AdS BTZ Black Hole

- PhysicsInternational Journal of Theoretical Physics
- 2015

We study a general holographic superconductor model in the background of AdS BTZ back hole. We explore the properties of the scalar condensation in the phase transitions and find that this model…

### Analytic holographic superconductor

- Physics
- 2010

We investigate a holographic superconductor that admits an analytic treatment near the phase transition. In the dual 3+1-dimensional field theory, the phase transition occurs when a scalar operator…

### Pseudogap and time reversal breaking in a holographic superconductor

- Physics
- 2008

Classical SU(2) Yang-Mills theory in 3+1 dimensional anti-de Sitter space is known to provide a holographic dual to a 2+1 system that undergoes a superconducting phase transition. We study the…

### Effective theory of the quantum Hall effect in AdS/CFT

- Physics
- 2008

Drawing on the connection with superconductivity, we give a simple AdS realization of the quantum Hall effect. The theory includes a statistical gauge field with a Chern-Simons term, in analogy with…

### Characteristic length of an AdS/CFT superconductor

- Physics
- 2008

We investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601 (2008)], which is constructed from a condensate…

### The AdS/CFT relation, quasi-normal modes and applications

- Physics
- 2011

Here we present a fast review of some of developments and new results concerning applications of gravity in the context of the AdS/CFT correspondence, in brane world perturbations as well as in…

### Holographic Superconductors

- Physics
- 2008

: 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…

### Universality class of holographic superconductors

- Physics
- 2009

We study ''holographic superconductors'' in various spacetime dimensions. We compute most of the static critical exponents in the linear perturbations and show that they take the standard mean-field…

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