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In this work, the s-wave, p-wave and d-wave holographic superconductors inthe Ho\v{r}ava-Lifshitz gravity are investigated in the probe limit. For thepresent approach, it is shown that the equations of motion for different wavestates in Einstein gravity can be written into a unified form, and condensatestake place in all three cases. This scheme is then generalized toHo\v{r}ava-Lifshitz gravity, and an unified equation for multiple holographicstates is obtained. Furthermore, the properties of the condensation and theoptical conductivity are studied numerically. It is found that, in the case ofHo\v{r}ava-Lifshitz gravity, it is always possible to find some particularparameters in the corresponding Einstein case where the condensation curves areidentical. For fixed scalar field mass $m$, a non-vanishing $\alpha$ becomesthe condensation easier than in Einstein gravity for s-wave superconductor.However, the p-wave and d-wave superconductors have $T_c$ greater than s-waveone.

Analysis of s-wave, p-wave and d-wave holographic superconductors in Ho\v{r}ava-Lifshitz gravity