Time-Dependent Density-Functional Theory for Superconductors

Abstract

A density-functional theory is established for strongly correlated inhomogeneous superconductors subject to time-dependent external scalar, vector, and pairing potentials. Hohenberg-Kohn and Kohn-Sham type theorems are formulated for gauge-invariant densities. The central result is a set of time-dependent Bogoliubov-de Gennes equations which include exchange-correlation effects.