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Time-dependent quantum transport with superconducting leads: A discrete-basis Kohn-Sham formulation and propagation scheme

Time-dependent quantum transport with superconducting leads: A discrete-basis Kohn-Sham formulation and propagation scheme

In this work we put forward an exact one-particle framework to study nano-scale Josephson junctions out of equilibrium and propose a propagation scheme to calculate the time-dependent current in response to an external applied bias. Using a discrete basis set and Peierls phases for the electromagnetic field we prove that …