Multiple Andreev and elastic interface scattering in superconductor-normal-metal-superconductor junctions

A. Golub; B. Horovitz

doi:10.1103/PhysRevB.50.15882

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Multiple Andreev and elastic interface scattering in superconductor-normal-metal-superconductor junctions

A. Golub, B. Horovitz

DOI 10.1103/PhysRevB.50.15882 · Physical Review B

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Abstract

Current-voltage characteristics of superconductor-normal-metal-superconductor junctions are calculated. Multiple Andreev reflections and the effect of normal elastic scattering at the superconductor-normal-metal interfaces are considered. The normal reflections of quasiparticles appear due to the mismatches in Fermi velocities and effective masses of superconductors and weak link. The wave-packet solution of nonequilibrium time-dependent Bogoliubov–de Gennes equations was obtained with the help of the boundary conditions on the wave function of the quasiparticle. At voltages of interest for multiple Andreev reflections (eV<2Δ), the result is applied to the rather thick weak links where the density of bound Andreev states is small.