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Josephson current carried by Andreev levels in superconducting quantum point contacts

arXiv:cond-mat/9811026 · doi:10.1006/spmi.1999.0730

Abstract

The dc Josephson effect in a superconducting quantum point contact, where supercurrent flows through a small number of channels, is reviewd. The central role of Andreev levels is emphasized which carry the whole supercurrent in short symmetric Josephson junctions including tunnel junctions. A simple intuitive view of the dc Josephson effect in a quantum point contact is given in terms of multiple Andreev reflections. The quantization of the critical current in superconducting quantum point contacts is briefly discussed.

8 pages, 4 figures, submitted to Superlattices and Microstructures