Holographic Superconductors with Hořava-Lifshitz Black Holes

Details Holographic Superconductors with Hořava-Lifshitz Black Holes Holographic Superconductors with Hořava-Lifshitz Black Holes

2009-11-25

arxiv.org/abs/0911.4867v2

Phys.Rev.D81:066003,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 7 figures,refs added

Scientific paper

10.1103/PhysRevD.81.066003

We discuss the phase transition of planar black holes in Ho\v{r}ava-Lifshitz gravity by introducing a Maxwell field and a complex scalar field. We calculate the condensates of the charged operators in the dual CFTs when the mass square of the complex scalar filed is $m^2=-2/L^2$ and $m^2=0$, respectively. We compute the electrical conductivity of the \hl superconductor in the probe approximation. In particular, it is found that there exists a spike in the conductivity for the case of the operator with scaling dimension one. These results are quite similar to those in the case of Schwarzschild-AdS black holes, which demonstrates that the holographic superconductivity is a robust phenomenon associated with asymptotic AdS black holes.

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