Fluxon dynamics in three stacked Josephson junctions

C. Gorria, P. L. Christiansen, Yu. B. Gaididei, V. Muto, N. F. Pedersen, and M. P. Soerensen
Phys. Rev. B 66, 172503 – Published 11 November 2002
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Abstract

The motion of fluxons of the same polarity in three vertically stacked Josephson junctions is studied. In this configuration the difference between exterior and interior junctions plays a more important role than in other configurations with several interior junctions. Below the Swihart velocity c, the coupling between junctions leads to a repulsion of the fluxons with the same polarity. Above this critical velocity a fluxon will induce radiation in the neighboring junctions, leading to a bunching of the fluxons in the stacked junctions. Using the Sakai-Bodin-Pedersen model, three coupled perturbed sine-Gordon equations are numerically studied for different values of coupling, damping, and bias parameters. In a narrow range of velocities bunching occurs. Outside this interval the fluxons split and new fluxons may be created. IV characteristics are presented.

  • Received 15 July 2002

DOI:https://doi.org/10.1103/PhysRevB.66.172503

©2002 American Physical Society

Authors & Affiliations

C. Gorria1,2, P. L. Christiansen1, Yu. B. Gaididei1,3, V. Muto2, N. F. Pedersen4, and M. P. Soerensen1

  • 1Section of Mathematical Physics, IMM, Technical University of Denmark, DK-2800, Kgs. Lyngby, Denmark
  • 2Department of Applied Mathematics and Statistics, University of the Basque Country, E - 48080 Bilbao, Spain
  • 3Bogolyubov Institute for Theoretical Physics, 252143 Kiev, Ukraine
  • 4Department of Electric Power Engineering, Technical University of Denmark, DK-2800, Kgs. Lyngby, Denmark

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Vol. 66, Iss. 17 — 1 November 2002

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