Discontinuous Current-Phase Relations in Small One-Dimensional Josephson Junction Arrays
Jens Koch, Karyn Le Hur
DOI 10.1103/PhysRevLett.101.097007 · Physical Review Letters
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Abstract
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.
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