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Title: 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}
}