Density Functional Theory for Superconductors: new functionals and applications

Density functional theory for superconductors (SCDFT) is a fully parameter-free approach that allows for accurate predictions of the critical temperature and other properties of superconductors. We report on the most recent extensions of this theoretical framework, in particular the development of new functionals to: \begin{itemize} \item incorporate in a correct fashion Migdal's theorem; \item compute the excitation spectrum; \item include spin-fluctuation mediated pairing \end{itemize} Applications and predictions are shown for a set of materials including conventional and unconventional superconductors.