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Superconductivity in intercalated graphite CaC6 and H under extreme pressure,in the framework of superconducting density functional theory, is discussed. Adetailed analysis on how the electron-phonon and electron-electron interactionscombine together to determine the superconducting gap and critical temperatureof these systems is presented. In particular, we discuss the effect on thecalculated Tc of the anisotropy of the electron-phonon interaction and of thedifferent approximations for screening the Coulomb repulsion. These resultscontribute to the understanding of multigap and anisotropic superconductivity,which has received a lot of attention since the discovery of MgB2, and show howit is possible to describe the superconducting properties of real materials ona fully ab-initio basis.

Role of Coulomb interaction in the superconducting properties of CaC6 and H under pressure