Corbino-geometry Josephson weak links in thin superconducting films

TitleCorbino-geometry Josephson weak links in thin superconducting films
Publication TypeJournal Article
Year of Publication2010
AuthorsClem JR
Journal TitlePhysical Review B
Volume82
Pages174515
Date Published11
Type of ArticleArticle
ISBN Number1098-0121
Accession NumberWOS:000293784900005
Keywordsbarriers, JUNCTIONS, nonlocal interaction, phase
Abstract

I consider a Corbino-geometry 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.

DOI10.1103/PhysRevB.82.174515
Alternate JournalPhys. Rev. B