Corbino-geometry Josephson weak links in thin superconducting films

Journal Article · Mon Nov 29 04:00:00 EST 2010 · Physical Review B: Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.82.174515· OSTI ID:1023950

Clem, John R

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.

• Research Organization: Ames Laboratory (AMES), Ames, IA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC02-07CH11358
• OSTI ID: 1023950
• Report Number(s): IS-J 7573
• Journal Information: Physical Review B: Condensed Matter and Materials Physics, Journal Name: Physical Review B: Condensed Matter and Materials Physics Journal Issue: 17 Vol. 82; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
CRITICAL CURRENT
DRAG
EXACT SOLUTIONS
INTEGRAL EQUATIONS
JOSEPHSON JUNCTIONS
ORIGIN
SINE-GORDON EQUATION
SUPERCONDUCTING FILMS
VORTICES