Holographic superconductors with Hořava-Lifshitz black holes

Rong-Gen Cai; Hai-Qing Zhang

doi:10.1103/PhysRevD.81.066003

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Holographic superconductors with Hořava-Lifshitz black holes

Rong-Gen Cai, Hai-Qing Zhang

DOI 10.1103/PhysRevD.81.066003 · Physical Review D

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Abstract

We discuss the phase transition of planar black holes in Hořava-Lifshitz gravity by introducing a Maxwell field and a complex scalar field. We calculate the condensate of the charged operators in the dual conformal field theories when the mass square of the complex scalar field is m2=−2/L2 and m2=0, respectively. We compute the electrical conductivity of the Hořava-Lifshitz 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.