Effect of magnetic pair breaking on Andreev bound states and resonant supercurrent in quantum dot Josephson junctions

Tkachov, Grigory and Richter, Klaus (2007) Effect of magnetic pair breaking on Andreev bound states and resonant supercurrent in quantum dot Josephson junctions. PHYSICAL REVIEW B, 75 (13): 134517. ISSN 2469-9950, 2469-9969

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: SUPERCONDUCTING ALLOYS; IMPURITIES; EQUATION;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Dec 2020 08:16
Last Modified: 21 Dec 2020 08:16
URI: https://pred.uni-regensburg.de/id/eprint/33000

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