# Models of holographic superconductivity

@article{Aprile2009ModelsOH, title={Models of holographic superconductivity}, author={F. Aprile and Jorge G Russo}, journal={Physical Review D}, year={2009}, volume={81}, pages={026009} }

We construct general models for holographic superconductivity parametrized by three couplings which are functions of a real scalar field and show that under general assumptions they describe superconducting phase transitions. While some features are universal and model independent, important aspects of the quantum critical behavior strongly depend on the choice of couplings, such as the order of the phase transition and critical exponents of second-order phase transitions. In particular, we…

## 72 Citations

### Holographic superconductor models in the non-minimal derivative coupling theory

- Physics
- 2010

We study a general class of holographic superconductor models via the Stuckelberg mechanism in the non-minimal derivative coupling theory in which the charged scalar field is kinetically coupling to…

### 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…

### Phenomenological models of holographic superconductors and hall currents

- Physics
- 2010

We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real…

### Introduction to holographic superconductor models

- Physics
- 2015

In the last years it has been shown that some properties of strongly coupled superconductors can be potentially described by classical general relativity living in one higher dimension, which is…

### Holographic model of a two-band superconductor

- Physics
- 2014

We construct a holographic two-band superconductor model with interband Josephson coupling. We investigate the effects the Josephson coupling has on the superconducting condensates and the critical…

### Observing various phase transitions in the holographic model of superfluidity

- Physics
- 2012

We study the gravity duals of supercurrent solutions in the AdS black hole background with general phase structure to describe both the first and the second order phase transitions at finite…

### Holographic competition of phases and superconductivity

- Physics
- 2015

A bstractWe use a holographic theory to model and study the competition of four phases: an antiferromagnetic phase, a superconducting phase, a metallic phase and a striped phase, using as control…

### Holographic superconductors from Einstein-Maxwell-Dilaton gravity

- Physics
- 2010

We construct holographic superconductors from Einstein-Maxwell-dilaton gravity in 3 + 1 dimensions with two adjustable couplings α and the charge q carried by the scalar field. For the values of α…

## References

SHOWING 1-10 OF 31 REFERENCES

### A general class of holographic superconductors

- Physics
- 2010

We introduce a simple generalization of the basic holographic superconductor model in which the spontaneous breaking of a global U(1) symmetry occurs via the Stückelberg mechanism. This more general…

### Holographic approach to phase transitions

- Physics
- 2010

We provide a description of phase transitions at finite temperature in strongly coupled field theories using holography. For this purpose, we introduce a general class of gravity duals to…

### 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…

### Holographic superconductors with various condensates

- Physics
- 2008

We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2+1 and 3+1 superconductors. We also compute a correlation…

### Ground states of holographic superconductors

- Physics
- 2009

We investigate the ground states of the Abelian Higgs model in AdS{sub 4} with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the…

### Building a holographic superconductor.

- PhysicsPhysical review letters
- 2008

It is shown that a simple gravitational theory can provide a holographically dual description of a superconductor and evidence is found that the condensate consists of pairs of quasiparticles.

### 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…

### Holographic superconductors with higher curvature corrections

- Physics
- 2009

We study (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity both numerically and analytically. It is found that higher curvature corrections make condensation harder. We…

### Low-temperature behavior of the Abelian Higgs model in Anti-de Sitter space

- Physics
- 2009

We explore the low-temperature behavior of the Abelian Higgs model in AdS4, away from the probe limit in which back-reaction of matter fields on the metric can be neglected. Over a significant range…

### Superconductors from superstrings.

- PhysicsPhysical review letters
- 2009

We establish that in a large class of strongly coupled (3+1)-dimensional N=1 quiver conformal field theories with gravity duals, adding a chemical potential for the R charge leads to the existence of…