Corbino-geometry Josephson weak links in thin superconducting films

Details Corbino-geometry Josephson weak links in thin superconducting films Corbino-geometry Josephson weak links in thin superconducting films

2010-08-30

arxiv.org/abs/1008.5094v1

Physics

Condensed Matter

Superconductivity

11 pages, 10 figures

Scientific paper

I consider a Corbino-geometry SNS (superconducting-normal-superconducting) Josephson weak link in a thin superconducting film, in which current enters at the origin, flows outward, passes through an annular Josephson weak link, and leaves radially. In contrast to sandwich-type annular Josephson junctions, in which the gauge-invariant phase difference obeys the sine-Gordon equation, here the gauge-invariant phase difference obeys an integral equation. I present exact solutions for the gauge-invariant phase difference across the weak link when it contains an integral number N of Josephson vortices and the current is zero. I then study the dynamics when a current is applied, and I derive the effective resistance and the viscous drag coefficient; I compare these results with those in sandwich-type junctions. I also calculate the critical current when there is no Josephson vortex in the weak link but there is a Pearl vortex nearby.

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