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Singular Current Density in the Planar Superconductor/Normal Metal/Superconductor Junction



R D. Spal


Interfacial resistivity (p) is crucial in limiting the maximum current density (Jnmax) in certain superconductor/metal junctions: as p decreases, Jnmax keeps rising until ultimately limited by the superconductor's critical current density. This little known effect is theoretically studied in a circuit with junctions formed by two superconducting contacts on the same face of a normal metal rectangular bar. The corresponding singularly perturbed mixed boundary value problem is solved numerically, and Jnmax is computed over a wide range of p and {l}, the gap between the contacts. Scaling behavior is found, and used to obtain an approximate formula for Jnmax (p,{l}).
Journal of Applied Physics
No. 5


conformal mapping, electrical impedance tomography, interfacial resistivity, junction, Laplace's equation


Spal, R. (2002), Singular Current Density in the Planar Superconductor/Normal Metal/Superconductor Junction, Journal of Applied Physics (Accessed April 16, 2024)
Created March 1, 2002, Updated February 19, 2017