Vortices in a wedge made of a type-I superconductor

Using the time-dependent Ginzburg–Landau approach, we analyze vortex states and vortex dynamics in type-I superconductor films with a thickness gradient in one direction. In the thinnest part of the structures under consideration, the equilibrium states manifest the typical type-II vortex patterns w...

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Main Authors: V N Gladilin, J Ge, J Gutierrez, M Timmermans, J Van de Vondel, J Tempere, J T Devreese, V V Moshchalkov
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/6/063032
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author V N Gladilin
J Ge
J Gutierrez
M Timmermans
J Van de Vondel
J Tempere
J T Devreese
V V Moshchalkov
author_facet V N Gladilin
J Ge
J Gutierrez
M Timmermans
J Van de Vondel
J Tempere
J T Devreese
V V Moshchalkov
author_sort V N Gladilin
collection DOAJ
description Using the time-dependent Ginzburg–Landau approach, we analyze vortex states and vortex dynamics in type-I superconductor films with a thickness gradient in one direction. In the thinnest part of the structures under consideration, the equilibrium states manifest the typical type-II vortex patterns with only singly-quantized vortices. At the same time, in the regions with larger thickness the singly-quantized and giant vortices coexist, in a qualitative agreement with our scanning Hall probe microscopy measurements on relatively thick Pb films. In the presence of an external current applied perpendicularly to the thickness gradient direction, the singly-quantized vortices, which enter the wedge through its thinnest edge, merge into giant vortices when propagating to the thicker parts of the structure. Remarkably, the results of our simulations imply that at moderate external current densities a regime is possible where the winding number of giant vortices, formed as a result of vortex coalescence, takes preferentially (or even exclusively) the values given by positive integer powers of two.
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spelling doaj.art-5b74faa850c34221bb2e18675f0fea302023-08-08T14:18:43ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117606303210.1088/1367-2630/17/6/063032Vortices in a wedge made of a type-I superconductorV N Gladilin0J Ge1J Gutierrez2M Timmermans3J Van de Vondel4J Tempere5J T Devreese6V V Moshchalkov7INPAC—Institute for Nanoscale Physics and Chemistry, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium; TQC—Theory of Quantum and Complex Systems, Universiteit Antwerpen, Universiteitsplein 1, B-2610 Antwerpen, BelgiumINPAC—Institute for Nanoscale Physics and Chemistry, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, BelgiumINPAC—Institute for Nanoscale Physics and Chemistry, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, BelgiumINPAC—Institute for Nanoscale Physics and Chemistry, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, BelgiumINPAC—Institute for Nanoscale Physics and Chemistry, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, BelgiumTQC—Theory of Quantum and Complex Systems, Universiteit Antwerpen, Universiteitsplein 1, B-2610 Antwerpen, BelgiumTQC—Theory of Quantum and Complex Systems, Universiteit Antwerpen, Universiteitsplein 1, B-2610 Antwerpen, BelgiumINPAC—Institute for Nanoscale Physics and Chemistry, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, BelgiumUsing the time-dependent Ginzburg–Landau approach, we analyze vortex states and vortex dynamics in type-I superconductor films with a thickness gradient in one direction. In the thinnest part of the structures under consideration, the equilibrium states manifest the typical type-II vortex patterns with only singly-quantized vortices. At the same time, in the regions with larger thickness the singly-quantized and giant vortices coexist, in a qualitative agreement with our scanning Hall probe microscopy measurements on relatively thick Pb films. In the presence of an external current applied perpendicularly to the thickness gradient direction, the singly-quantized vortices, which enter the wedge through its thinnest edge, merge into giant vortices when propagating to the thicker parts of the structure. Remarkably, the results of our simulations imply that at moderate external current densities a regime is possible where the winding number of giant vortices, formed as a result of vortex coalescence, takes preferentially (or even exclusively) the values given by positive integer powers of two.https://doi.org/10.1088/1367-2630/17/6/063032superconductorvortexGinzburg–Landau theory74.25.Uv74.25.Ha74.78.-w
spellingShingle V N Gladilin
J Ge
J Gutierrez
M Timmermans
J Van de Vondel
J Tempere
J T Devreese
V V Moshchalkov
Vortices in a wedge made of a type-I superconductor
New Journal of Physics
superconductor
vortex
Ginzburg–Landau theory
74.25.Uv
74.25.Ha
74.78.-w
title Vortices in a wedge made of a type-I superconductor
title_full Vortices in a wedge made of a type-I superconductor
title_fullStr Vortices in a wedge made of a type-I superconductor
title_full_unstemmed Vortices in a wedge made of a type-I superconductor
title_short Vortices in a wedge made of a type-I superconductor
title_sort vortices in a wedge made of a type i superconductor
topic superconductor
vortex
Ginzburg–Landau theory
74.25.Uv
74.25.Ha
74.78.-w
url https://doi.org/10.1088/1367-2630/17/6/063032
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