described by with deviations of less than 8%. This is roughly twice the BCS value 3.5 indicating that the holo- graphic superconductors are strongly coupled. However, the authors in Refs. [16, 42] found that this relation is not stable in the presence of the Gauss-Bonnet correction terms. And Cai et al. [36] got a relation with the accuracy more than 93% for a planar Hoˇrava-Lifshit z black hole with the condition of the detailed balance. We now examine this result for the Hoˇrava -Lifshitz gravity considered here. In order to compute the electrical conductivity, we should study the electromagnetic perturbation in this Hoˇrava-Lifshitz black hole background, and then ca lculate the linear response to the perturba- tion. In the probe approximation, the e ff ect of the perturbation of metric can be ignored. Assuming that the perturbation of the vector potential is translational symmetric and has a time dependence as δ A$_{x}$ = A$_{x}$ ( r ) e − i ω $^{t}$, we find that the Maxwell equation in the Hoˇrava-Lifshitz bl ack hole background reads where a prime denotes the derivative with respect to r . An ingoing wave boundary condition near the horizon is given by In the asymptotic AdS region ( r → ∞ ), the general behavior should be By using AdS / CFT correspondence and the Ohm’s law, we know that the conductivity can be ex- pressed as [8] ω$_{g}$ T$_{c}$ ≈ 8 , (4.1) ω$_{g}$ T$_{c}$ ≈ 13 (4.2) A ′′ x + f ′ f A ′ x + ( ω 2 f 2 − 2 ψ 2 f ) A$_{x}$ = 0 , (4.3) A$_{x}$ ( r ) ∼ f ( r $_{)}$− 2 i ω L 2 3 r + . (4.4) A$_{x}$ = A (0) + A (1) r + · · · . (4.5) σ = 〈 J$_{x}$ 〉 E$_{x}$ = − i 〈 J$_{x}$ 〉 ω A$_{x}$ = A (1) i ω A (0) . (4.6) 10