Geometry-dependent critical currents in superconducting nanocircuits

By J. Clem, K. Berggren. 2011

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In this paper, we calculate the critical currents in thin superconducting strips with sharp right-angle turns, 180? turnarounds, and more complicated geometries, where all the line widths are much smaller than the Pearl length ?=2?2/d. We define the critical current as the current that reduces the Gibbs-free-energy barrier to zero. We show that current crowding, which occurs whenever the current rounds a sharp turn, tends to reduce the critical current, but we also show that when the radius of curvature is less than the coherence length, this effect is partially compensated by a radius-of-curvature effect. We propose several patterns with rounded corners to avoid critical-current reduction due to current crowding. These results are relevant to superconducting nanowire single-photon detectors, where they suggest a means of improving the bias conditions and reducing dark counts. These results also have relevance to normal-metal nanocircuits, as these patterns can reduce the electrical resistance, electromigration, and hot spots caused by nonuniform heating.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/256813e2f79fb7356f23dd2dd38fccf99d7e4541

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