Kink propagation and trapping in a two-dimensional curved Josephson junction

Publication: Research - peer-reviewJournal article – Annual report year: 2004

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Sine-Gordon kink propagation in a curved planar waveguide is considered. The waveguide consists of two rectangular regions joined by a bent section of constant curvature. Transverse homogeneous and inhomogeneous Neumann boundary conditions are used. The latter models an energy-providing mechanism for Josephson junctions of overlap type. A collective variable approach based on the kink position and the kink width depending on the transversal coordinate is developed. The latter allows to take into account both longitudinal and centrifugal forces which act on the nonlinear excitation moving in a region with finite curvature and to obtain a qualitatively good agreement with the numerical simulations. The region with finite curvature acts as a potential barrier whose height and width depend on the radius of curvature of the waveguide. The kink transmission, reflection, and trapping are investigated. The kink may be captured when a driving force, provided by a magnetic field, is applied to the kink.
Original languageEnglish
JournalPhysical Review B (Condensed Matter and Materials Physics)
Publication date2004
Volume69
Issue13
Pages134506
Number of pages10
ISSN1098-0121
DOIs
StatePublished

Bibliographical note

Copyright (2004) American Physical Society.

CitationsWeb of Science® Times Cited: 18

Keywords

  • Collective coordinates, Josephson junctions, sine-Gordon equation, Curved space, Solitons
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