Dynamics of an annular Josephson junction in a rotating magnetic field

Niels Grønbech-Jensen, Boris A. Malomed, Mogens Rugholm Samuelsen

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Abstract

We study analytically and numerically the dynamics of a solitary fluxon in a long annular damped Josephson junction placed into a rotating magnetic field, which is produced by superposition of two mutually perpendicular ac fields with a phase difference of π/2. We demonstrate that the rotating magnetic field drives the fluxon as a traveling wave. The step in the I-V characteristic, corresponding to the velocity of the fluxon coinciding with the phase velocity of the driving wave, is predicted and its size is calculated. It is also demonstrated that the I-V curve has a parabolic profile near the edges of the step. For the case where the fluxon is slowly dragged by a fast traveling wave, the drift velocity is found. The analytical results are in very good agreement with numerical experiments performed on the perturbed sine-Gordon system. Finally the system is analyzed analytically for moderate or small lengths of junctions.
Original languageEnglish
JournalPhysical Review B
Volume46
Issue number1
Pages (from-to)294-300
ISSN2469-9950
DOIs
Publication statusPublished - 1992

Bibliographical note

Copyright (1992) by the American Physical Society.

Keywords

  • SOLITONS

Cite this

Grønbech-Jensen, N., Malomed, B. A., & Samuelsen, M. R. (1992). Dynamics of an annular Josephson junction in a rotating magnetic field. Physical Review B, 46(1), 294-300. https://doi.org/10.1103/PhysRevB.46.294