Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-09-07
Phys. Rev. B 75, 134517 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 6 eps figures, new results added
Scientific paper
10.1103/PhysRevB.75.134517
We propose a model for resonant Josephson tunneling through quantum dots that accounts for Cooper pair-breaking processes in the superconducting leads caused by a magnetic field or spin-flip scattering. The pair-breaking effect on the critical supercurrent $I_c$ and the Josephson current-phase relation $I(\phi)$ is largely due to the modification of the spectrum of Andreev bound states below the reduced (Abrikosov-Gorkov) quasiparticle gap. For a quantum dot formed in a quasi-one-dimensional channel, both $I_c$ and $I(\phi)$ can show a significant magnetic field dependence induced by pair breaking despite the suppression of the orbital magnetic field effect in the channel. This case is relevant to recent experiments on quantum dot Josephson junctions in carbon nanotubes. Pair-breaking processes are taken into account via the relation between the Andreev scattering matrix and the quasiclassical Green functions of the superconductors in the Usadel limit.
Richter Klaus
Tkachov Grygoriy
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