Analysis of s-wave, p-wave and d-wave holographic superconductors in Horava-Lifshitz gravity

Abstract

In this work, the s-wave, p-wave and d-wave holographic superconductors in the Horava-Lifshitz gravity are investigated in the probe limit. For this approach, it is shown that the equations of motion for different wave states in Einstein gravity can be written as a unified form, and condensates take place in all three cases. This scheme is then generalized to Horava-Lifshitz gravity, and a unified equation for multiple holographic states is obtained. Furthermore, the properties of the condensation and the optical conductivity are studied numerically. It is found that, in the case of Horava-Lifshitz gravity, it is always possible to find some particular parameters in the corresponding Einstein case where the condensation curves are identical. For fixed scalar field mass m, a nonvanishing alpha makes the condensation easier than in Einstein gravity for s-wave superconductor. However, the p-wave and d-wave superconductors have T-c greater than the s-wave.