Holographic superconductors in IR modified Hořava–Lifshitz gravity

In the probe limit, we study the holographic [Formula: see text]- and [Formula: see text]-wave superconductors in the IR modified Hořava–Lifshitz gravity and obtain the effect of the gravity parameter [Formula: see text] on the condensate and the AC conductivity. Concretely, for the two models, the increasing [Formula: see text] makes the superconductor phase transition more difficult. Moreover, at the critical point, both systems undergo a second-order phase transition as expected from the mean field theory, and the superfluid density decreases with the temperature linearly, which is consistent with the Ginzburg–Landau theory. Meanwhile, the analytical results back up the numerical results. What is more, in the superconducting phase, the ratio of the energy gap to the critical temperature, i.e. [Formula: see text], decreases with the increasing [Formula: see text]. In addition, our results generalize the previous work on holographic superconductors in Hořava–Lifshitz gravity to some extent.

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