Josephson-junction arrays with long-range interactions

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.8335· OSTI ID:664872

Harbaugh, J K; Stroud, D ^[1]

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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 Research Foundation
• DOE Contract Number: FG02-90ER45427
• OSTI ID: 664872
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 13 Vol. 56; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRITICAL CURRENT
ELECTRIC CONDUCTIVITY
HYSTERESIS
JOSEPHSON EFFECT
JOSEPHSON JUNCTIONS
SUPERCONDUCTING WIRES