Abstract
Superconductivity in Pb, H under extreme pressure and CaBeSi, in the framework of thedensity functional theory for superconductors, is discussed. A detailed analysis on how theelectron–phonon and electron–electron interactions combine together to determine thesuperconducting gap and critical temperature of these systems is presented. Pb, Hunder pressure and CaBeSi are multigap superconductors. We will address thequestion under which conditions does a system exhibits this phenomenon. Thepresented results contribute to the understanding of multiband and anisotropicsuperconductivity, which has received a lot of attention since the discovery ofMgB2, and show how it is possible to describe the superconducting properties of real materials ona fully ab initio basis.
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