Holographic Superconductors with the General $R{F}^2$ type Couplings

Abstract

We explore the effects of the general non-minimally coupled $R{F}^2$-type couplings on the holographic s-wave superconductors numerically in the Schwarzschild-AdS background. We calculate the condensation and conductivity of the model for the coupling parameters $a_1$ and $\beta$. We obtain that the bigger deviations of the parameter $a_1$ from the minimal case lead to the larger deviations of the gap frequency from the universal value ${\omega }_g/T_c\approx 8$. Moreover the smaller $\beta$ and $a_1$ cause to gradually stronger and narrower coherence peak.

12 pages, 14 figures

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