Circular and Annular Two-Dimensional Josephson Junction: Statics and Dynamics |
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Authors: | R Pawlikowski J Zagrodziski and T Nikiciuk |
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Affiliation: | (1) Institute of Physics, Polish Academy of Sciences, 02-668 Warszawa, Poland;(2) Institute of Theoretical Physics, University of Bialystok, 15-424 Bialystok, Poland |
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Abstract: | We present the results of the numerical analysis of circular and annular two-dimensional planar Josephson junctions. The static and dynamical states of a junction with or without an externally applied uniform magnetic field have been investigated. Our model is based on the assumption that junction electrodes are sufficiently long and have a uniform cross section. Such a configuration allows to find analytically and numerically the boundary conditions, which are given by the surface current distribution on the electrodes. We found static and dynamical states of a large-area two-dimensional junction and present some of the resulting patterns. Surprisingly, in contrast to a circular one-dimensional structure (ring), we found that in a circular or annular large-area junction, the fluxons circulating along the junction border do not exist. The boundary conditions play an essential role and determine the trajectory of fluxons. Finally, we analyze a junction surrounding a current-carrying wire. |
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Keywords: | large-area Josephson junctions sine-Gordon equation |
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