The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region and scattering states incoming from the superconducting leads. We show that in the limit of a long junction, this current, at low temperatures, can be expressed entirely in terms of properties of the Andreev bound states at the Fermi energy: the normal and Andreev reflection amplitudes at the left- and right-hand S-N interfaces. This has important implications for treating interactions in such systems.

The Josephson current through a long quantum wire

GIULIANO, Domenico;
2013

Abstract

The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region and scattering states incoming from the superconducting leads. We show that in the limit of a long junction, this current, at low temperatures, can be expressed entirely in terms of properties of the Andreev bound states at the Fermi energy: the normal and Andreev reflection amplitudes at the left- and right-hand S-N interfaces. This has important implications for treating interactions in such systems.
quantum wires; quantum transport in one dimension; Josephson junctions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/147864
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