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arXiv · 0911.4867

Holographic Superconductors with Ho\v{r}ava-Lifshitz Black Holes

Rong-Gen Cai·Hai-Qing Zhang
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Abstract

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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Rong-Gen Cai, Hai-Qing Zhang. 2009-11-25. Holographic Superconductors with Ho\v{r}ava-Lifshitz Black Holes. https://doi.org/10.1103/physrevd.81.066003

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