Phenomenological model of vortex dynamics in arrays of Josephson junctions

A phenomenological model for arrays of Josephson junctions is developed in the continuum limit. This model gives a unified treatment of various types of behavior in arrays, such as charge solitons, vortices, collective modes, and the mass of the vortex. This model is then used to describe vortex dyn...

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Bibliographic Details
Published in:Physical review. B, Condensed matter Condensed matter, 1991-05, Vol.43 (13), p.10218-10228
Main Authors: Orlando, TP, Mooij, JE, van der Zant HS
Format: Article
Language:English
Subjects:
656100 - Condensed Matter Physics- Superconductivity
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FLUX
MATHEMATICAL MODELS
ORDER PARAMETERS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
QUASI PARTICLES
SOLITONS
SUPERCONDUCTING DEVICES
SUPERCONDUCTING JUNCTIONS
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Summary:A phenomenological model for arrays of Josephson junctions is developed in the continuum limit. This model gives a unified treatment of various types of behavior in arrays, such as charge solitons, vortices, collective modes, and the mass of the vortex. This model is then used to describe vortex dynamics when there is no pinning. We calculate the flux-flow resistivity due to vortex motion as well as consider the possibility of ballistic motion of vortices. We compare these results to the analogous situations in a conventional superconductor as well as for granular systems.
ISSN:0163-1829
1095-3795
DOI:10.1103/PhysRevB.43.10218