Corbino-geometry Josephson weak links in thin superconducting films
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.
- Authors:
- Publication Date:
- Research Org.:
- Ames Lab., Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1023950
- Report Number(s):
- IS-J 7573
Journal ID: 1098-0121; TRN: US1104762
- DOE Contract Number:
- DE-AC02-07CH11358
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review B: Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 82; Journal Issue: 17
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; CRITICAL CURRENT; DRAG; EXACT SOLUTIONS; INTEGRAL EQUATIONS; JOSEPHSON JUNCTIONS; ORIGIN; SINE-GORDON EQUATION; SUPERCONDUCTING FILMS; VORTICES
Citation Formats
Clem, John R. Corbino-geometry Josephson weak links in thin superconducting films. United States: N. p., 2010.
Web. doi:10.1103/PhysRevB.82.174515.
Clem, John R. Corbino-geometry Josephson weak links in thin superconducting films. United States. https://doi.org/10.1103/PhysRevB.82.174515
Clem, John R. 2010.
"Corbino-geometry Josephson weak links in thin superconducting films". United States. https://doi.org/10.1103/PhysRevB.82.174515.
@article{osti_1023950,
title = {Corbino-geometry Josephson weak links in thin superconducting films},
author = {Clem, John R},
abstractNote = {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.},
doi = {10.1103/PhysRevB.82.174515},
url = {https://www.osti.gov/biblio/1023950},
journal = {Physical Review B: Condensed Matter and Materials Physics},
number = 17,
volume = 82,
place = {United States},
year = {Mon Nov 29 00:00:00 EST 2010},
month = {Mon Nov 29 00:00:00 EST 2010}
}