Domenico Giuliano, Ian Affleck
The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region as well as from 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. This has important implications for treating interactions in such systems.
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http://arxiv.org/abs/1209.0496
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