Corbino-geometry Josephson weak links in thin superconducting films
Abstract
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.
Cite
@article{arxiv.1008.5094,
title = {Corbino-geometry Josephson weak links in thin superconducting films},
author = {John R. Clem},
journal= {arXiv preprint arXiv:1008.5094},
year = {2015}
}
Comments
11 pages, 10 figures