Holographic superconductor models with $R{F}^2$ corrections

We investigate the effect of the $R{F}^2$ correction on the holographic superconductor model in the background of AdS black hole. We find that, similar to the effect caused by the Weyl correction, the higher $R{F}^2$ correction term can make it easier for the scalar operator to condense and result in the larger deviations from the expected relation in the gap frequency. However, if a non-trivial hair for the black hole has been triggered, we observe that the $R{F}^2$ correction and the Weyl correction do play different roles in the behavior of the condensation, which can be used to support the existing findings.