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

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

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@article{892d61f7d06b4e85851da8b0e5bce66d,
title = "Kink propagation and trapping in a two-dimensional curved Josephson junction",
keywords = "Collective coordinates, Josephson junctions, sine-Gordon equation, Curved space, Solitons",
publisher = "American Physical Society",
author = "Carlos Gorria and Gaididei, {Yuri Borisovich} and Sørensen, {Mads Peter} and Christiansen, {Peter Leth} and Caputo, {Jean Guy}",
note = "Copyright (2004) American Physical Society.",
year = "2004",
doi = "10.1103/PhysRevB.69.134506",
volume = "69",
number = "13",
pages = "134506",
journal = "Physical Review B (Condensed Matter and Materials Physics)",
issn = "1098-0121",

}

RIS

TY - JOUR

T1 - Kink propagation and trapping in a two-dimensional curved Josephson junction

A1 - Gorria,Carlos

A1 - Gaididei,Yuri Borisovich

A1 - Sørensen,Mads Peter

A1 - Christiansen,Peter Leth

A1 - Caputo,Jean Guy

AU - Gorria,Carlos

AU - Gaididei,Yuri Borisovich

AU - Sørensen,Mads Peter

AU - Christiansen,Peter Leth

AU - Caputo,Jean Guy

PB - American Physical Society

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - Collective coordinates

KW - Josephson junctions

KW - sine-Gordon equation

KW - Curved space

KW - Solitons

UR - http://link.aps.org/doi/10.1103/PhysRevB.69.134506

U2 - 10.1103/PhysRevB.69.134506

DO - 10.1103/PhysRevB.69.134506

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

SN - 1098-0121

IS - 13

VL - 69

SP - 134506

ER -