The 3+1 holographic superconductor with Weyl corrections

In this paper 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 $\gamma$, indicating the condensation will be harder when the parameter $\gamma$ decreases. We also calculate the conductivity and the ratio of gap frequency over critical temperature ${\omega }_g\mathrm{/}{T}_c$ numerically for various coupling parameters. We find that the ratio ${\omega }_g\mathrm{/}{T}_c$ becomes larger when the Weyl coupling parameter $\gamma$ decreases. We also notice that when $\gamma <0$ there is an extra spike that appears inside the gap.