Electron-phonon interaction and pairing mechanism in superconducting Ca-intercalated bilayer graphene

Using the ab initio anisotropic Eliashberg theory including Coulomb interactions, we investigate the electron-phonon interaction and the pairing mechanism in the recently-reported superconducting Ca-intercalated bilayer graphene. We find that C6CaC6 can support phonon-mediated superconductivity with a critical temperature T-c = 6.8-8.1 K, in good agreement with experimental data. Our calculations indicate that the low-energy Ca-xy vibrations are critical to the pairing, and that it should be possible to resolve two distinct superconducting gaps on the electron and hole Fermi surface pockets.