Discontinuous current-phase relations in small one-dimensional Jsephson junction arrays

Jens Koch*, Karyn Le Hur

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We study the Josephson effect in small one-dimensional (1D) Josephson junction arrays. For weak Josephson tunneling, topologically different regions in the charge-stability diagram generate distinct current-phase (I-) relationships. We present results for a three-junction system in the vicinity of charge-degeneracy lines and triple points. We explain the generalization to larger arrays, show that discontinuities of the I- relation at phase π persist and that, at maximum degeneracy, the problem can be mapped to a tight-binding model providing analytical results for arbitrary system size.

Original languageEnglish (US)
Article number097007
JournalPhysical Review Letters
Issue number9
StatePublished - Aug 28 2008

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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