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

Abstract

In this work, the s-wave, p-wave and d-wave holographic superconductors in the Hořava–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 Hořava–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 Hořava–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 [Formula: see text] makes the condensation easier than in Einstein gravity for s-wave superconductor. However, the p-wave and d-wave superconductors have T[Formula: see text] greater than the s-wave.