# Analytic study on backreacting holographic superconductors with dark matter sector

@article{Nakonieczny2014AnalyticSO, title={Analytic study on backreacting holographic superconductors with dark matter sector}, author={Lukasz Nakonieczny and Marek Rogatko}, journal={Physical Review D}, year={2014}, volume={90}, pages={106004} }

The variational method for Sturm-Liouville eigenvalue problem was employed to study analytically properties of the holographic superconductor with dark matter sector, in which a coupling between Maxwell field and another U(1)-gauge field was considered. The backreaction of the dark matter sector on gravitational background in question was also examined.

## 27 Citations

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## References

SHOWING 1-8 OF 8 REFERENCES

### Impurity effect in a holographic superconductor

- Physics
- 2013

A bstractWe consider a holographic superconductor with homogeneous impurities added. We start with the holographic Abelian-Higgs model for s-wave superconductivity, and turn on a coupling between the…

### Minimal Model for an Unbalanced Holographic Superconductor

- Physics
- 2012

We describe the simplest holographic model for an s-wave unbalanced superconductor in 2+1 dimensions. We study its phase diagram and linear response features with particular attention to the…

### Introduction to Holographic Superconductors

- Physics
- 2011

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…

### Holographic superfluids and superconductors in dilaton-gravity

- Physics
- 2012

A bstractWe investigate holographic models of superfluids and superconductors in which the gravitational theory includes a dilatonic field. Dilaton extensions are interesting as they allow us to…

### Landscape of superconducting membranes

- Physics
- 2009

The AdS/CFT correspondence may connect the landscape of string vacua and the 'atomic landscape' of condensed matter physics. We study the stability of a landscape of IR fixed points of N=2 large N…

### Handbook of Exact Solutions for Ordinary Differential Equations

- Mathematics
- 1995

Part 1 First order differential equations: simplest equations with arbitrary functions integrable in a closed form Riccati equations - g(y)y'x=f2(x)y2+f1(x)y+f0(x) Abel equations of the second kind…

### H.B.Zheng, X.Gao, Y.Jiang, and H.S.Zong

- Quantum Grav. 29,
- 2012

### Multilepton Higgs Deacays through the Dark Portal , hep - ph 1308

- Astrophys . J .
- 2005