Time-dependent Landauer—Büttiker formalism for superconducting junctions at arbitrary temperatures
Tuovinen, R., van Leeuwen, R., Perfetto, E., & Stefanucci, G. (2016). Time-dependent Landauer—Büttiker formalism for superconducting junctions at arbitrary temperatures. In Progress in Non-equilibrium Green’s Functions (PNGF VI) (pp. 012016). Journal of Physics: Conference Series, 696. Institute of Physics Publishing Ltd.. doi:10.1088/1742-6596/696/1/012016
Published inJournal of Physics: Conference Series;696
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We discuss an extension of our earlier work on the time-dependent Landauer– Büttiker formalism for noninteracting electronic transport. The formalism can without complication be extended to superconducting central regions since the Green’s functions in the Nambu representation satisfy the same equations of motion which, in turn, leads to the same closed expression for the equal-time lesser Green’s function, i.e., for the time-dependent reduced one-particle density matrix. We further write the finite-temperature frequency integrals in terms of known special functions thereby considerably speeding up the computation. Simulations in simple normal metal – superconductor – normal metal junctions are also presented.