Non-minimal coupling Gauss-Bonnet holographic superconductors

Abstract

By employing the gauge/gravity duality, we disclose the effects of the non-minimal coupling between the scalar and Maxwell fields on the holographic superconductors in the probe limit. As the background spacetime, we consider a five dimensional Gauss-Bonnet (GB) black hole with a flat horizon. We find out that the critical temperature decreases for larger values of GB coupling constant or smaller values of non-minimal coupling constant, which means that the condensation is harder to form. In addition, we study the electrical conductivity in the holographic setup. We show that at low frequency regime, Kramers-Kronig relation connects both parts of conductivity to each other, while at high frequency, two parts go up with constant slope.