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Title: Josephson-junction arrays with long-range interactions

Journal Article · · Physical Review, B: Condensed Matter
;  [1]
  1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

We calculate the current-voltage (IV) characteristics of a Josephson-junction array with long-range interactions. The array consists of two sets of equally spaced parallel superconducting wires placed at right angles. A Josephson junction is formed at every point wherever the wires cross. We treat each such junction as an overdamped resistively shunted junction, and each wire segment between two junctions as a similar resistively shunted junction with a much higher critical current. The IV characteristics are obtained by solving the coupled Josephson equations numerically. We find that, for a sufficiently large number of wires, the critical current saturates at a finite value because of the wire inductance, in excellent agreement with experiment. The calculated IV characteristics also show a striking hysteresis, even though each of the individual junctions is {ital nonhysteretic}. The hysteresis results from a global redistribution of current flow on the upper and lower voltage branches, and is also in excellent agreement with experiment. {copyright} {ital 1997} {ital The American Physical Society}

Research Organization:
Purdue Univ., West Lafayette, IN (United States)
DOE Contract Number:
FG02-90ER45427
OSTI ID:
664872
Journal Information:
Physical Review, B: Condensed Matter, Vol. 56, Issue 13; Other Information: PBD: Oct 1997
Country of Publication:
United States
Language:
English

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