Phys. Rev. Lett. 101, 097007 (2008) [4 pages]Discontinuous Current-Phase Relations in Small One-Dimensional Josephson Junction ArraysReceived 21 February 2008; published 28 August 2008 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-ϕ) 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-ϕ 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.097007
DOI:
10.1103/PhysRevLett.101.097007
PACS:
74.81.Fa, 73.23.−b, 74.50.+r
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