TY - JOUR
T1 - Discontinuous current-phase relations in small one-dimensional Jsephson junction arrays
AU - Koch, Jens
AU - Le Hur, Karyn
PY - 2008/8/28
Y1 - 2008/8/28
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.101.097007
DO - 10.1103/PhysRevLett.101.097007
M3 - Article
C2 - 18851645
AN - SCOPUS:50649106157
SN - 0031-9007
VL - 101
JO - Physical Review Letters
JF - Physical Review Letters
IS - 9
M1 - 097007
ER -