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Critical currents of Josephson-coupled wire arrays

J. Kent Harbaugh, D. Stroud

DOI 10.1103/PhysRevB.58.R14759 · Physical Review B

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Abstract

We calculate the current-voltage characteristics and critical current Icarray of a two-layer array of Josephson-coupled superconducting wires. If the number of magnetic flux quanta per plaquette is f=p/q, where p and q are mutually prime integers, Icarray(f) is found to have sharp peaks when q is a small integer. To an excellent approximation, it is found in a square array of n2 plaquettes, that Icarray(f)∝(n/q)1/2 for sufficiently large n. This result is interpreted in terms of the commensurability between the array and the assumed q×q unit cell of the ground-state vortex lattice.

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