The 3+1 holographic superconductor with Weyl corrections

In this Letter we study 3+1 holographic superconductors with Weyl corrections. We find that the critical temperature of a superconductor with Weyl corrections increases as we amplify the Weyl coupling parameter γ, indicating the condensation will be harder when the parameter γ decreases. We also calculate the conductivity and the ratio of gap frequency over critical temperature ωg/Tc numerically for various coupling parameters. We find that the ratio ωg/Tc becomes larger when the Weyl coupling parameter γ decreases. We also notice that when γ<0 there is an extra spike that appears inside the gap.