Time-dependent Landauer—Büttiker formalism for superconducting junctions at arbitrary temperatures

Progress in Non-equilibrium Green's Functions

Tuovinen, Riku^1 ; Van Leeuwen, Robert^1,4 ; Perfetto, Enrico^2 ; Stefanucci, Gianluca^2,3,4

Department of Physics, Nanoscience Center, University of Jyväskylä, Jyväskylä

FIN 40014, Finland^1

Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, Rome

I-00133, Italy^2

Laboratori Nazionali di Frascati, Istituto Nazionale di Fisica Nucleare, Via E. Fermi 40, Frascati

00044, Italy^3

European Theoretical Spectroscopy Facility (ETSF), Finland^4

关键词: Arbitrary temperature;    Electronic transport;    Finite temperatures;    Noninteracting;    Particle densities;    Special functions;    Superconducting junctions;    Time dependent;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/696/1/012016/pdf
DOI  :  10.1088/1742-6596/696/1/012016

来源: IOP

【 摘 要 】

We discuss an extension of our earlier work on the time-dependent Landauer- Buttiker 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.