The dynamics of magnetic vortices in type II superconductors with pinning sites studied by the time dependent Ginzburg–Landau model

Sørensen, Mads Peter; Pedersen, Niels Falsig; Ögren, Magnus

doi:10.1016/j.physc.2016.08.001

Cited by 21 publications

(9 citation statements)

References 14 publications

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“…On the one hand, fluxons are anchored by the normal cores of the CDs and this pinning potential prevents them for entering the superconducting material in between the CDs. Eventually, they can hop from one CD to a neighboring one [41]. On the other hand, interstitial vortices are pinned by intrinsic defects in the unirradiated parts of the sample.…”

Section: Discussionmentioning

confidence: 99%

Hysteretic Vortex-Matching Effects in High- Tc Superconductors with Nanoscale Periodic Pinning Landscapes Fabricated by He Ion-Beam Projection

et al. 2017

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Square arrays of sub-micrometer columnar defects in thin YBa2Cu3O 7−δ (YBCO) films with spacings down to 300 nm have been fabricated by a He ion beam projection technique. Pronounced peaks in the critical current and corresponding minima in the resistance demonstrate the commensurate arrangement of flux quanta with the artificial pinning landscape, despite the strong intrinsic pinning in epitaxial YBCO films. Whereas these vortex matching signatures are exactly at predicted values in field-cooled experiments, they are displaced in zero-field cooled, magnetic-field ramped experiments, conserving the equidistance of the matching peaks and minima. These observations reveal an unconventional critical state in a cuprate superconductor with an artificial, periodic pinning array. The long-term stability of such out-of-equilibrium vortex arrangements paves the way for electronic applications employing fluxons.

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Section: Discussionmentioning

confidence: 99%

Hysteretic Vortex-Matching Effects in High- Tc Superconductors with Nanoscale Periodic Pinning Landscapes Fabricated by He Ion-Beam Projection

et al. 2017

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“…Often real systems have rough surfaces and interior defects that don't match this geometry. There has been considerable effort to simulate vortex nucleation and subsequent dynamics for complicated domains within time-dependent Ginzburg-Landau (TDGL) theory [15][16][17][18][19][20][21][22][23][24]. This paper explores the dynamics of vortex nucleation and extends previous work by calculating H sh in geometries with inhomogeneities.…”

Section: Introductionmentioning

confidence: 91%

“…However, we relax this assumption in order to model spatial variations in T c by allowing α(r) to smoothly vary in space over a range of values. This has been done previously to model pinning sites by setting α(r) to zero at fixed points in the domain [16,[22][23][24]. We define α(r) = α 0 a(r) where α 0 is a reference value (to be subsumed by units), and a(r) is a dimensionless number characterizing the spatial material variation.…”

Section: A Problem Formulationmentioning

confidence: 99%

Role of surface defects and material inhomogeneities for vortex nucleation in superconductors within time-dependent Ginzburg-Landau theory in 2 and 3 dimensions

Pack,

Carlson,

Wadsworth

et al. 2019

Preprint

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We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical magnetic field, known as the superheating field. For a uniform surface and homogenous material, the superheating transition is driven by a non-local critical mode in which an array of vortices simultaneously penetrate the surface. In contrast, we show that even a small amount of disorder localizes the critical mode and can have a significant reduction in the effective superheating field for a particular sample. Our approach uses a finite element method to simulate a cylindrical geometry in 2 dimensions and a film geometry in 2 and 3 dimensions. We combine saddle node bifurcation analysis along with a novel fitting procedure to evaluate the superheating field and identify the unstable mode. We demonstrate agreement with previous results for homogenous geometries, and extend the analysis to include surface roughness and local variations in material properties. We discuss implications for fabrication and performance of superconducting resonant frequency cavities in particle accelerators.

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“…Within this approximation, we can neglect the magnetic field produced by the transport current itself. Therefore, it can be treated as a two-dimensional problem The formalism used to study the system considered in Figure 1(a-b) is given by the time-dependent Ginzburg-Landau (TDGL) equations [17][18][19][20][21][22].…”

Section: Theoretical Formalismmentioning

confidence: 99%

Vortex guide under a Lorentz force.

Aguirre

Martins

Barba-Ortega

2020

AiBi Revista de Investigación, Administración e Ingeniería

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In the present work we studied the effect of the nature of the contacts, by which a weak external current is applied, in an anisotropic superconducting rectangle, on the magnetization, magnetic susceptibility, density of the Cooper pairs and (magnetic field for which the first vortices entry on the sample). The contacts are simulates by the parameter, and the anisotropy is present in sections with different critical temperatures modeling for function, both in the Ginzburg-Landau formalis. Also, the sample is embebbed in an external magnetic field . We established how the nature of the contacts and the presence of a weak Lorentz Force, influence the magnetic response and the vortex state of the sample.

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The dynamics of magnetic vortices in type II superconductors with pinning sites studied by the time dependent Ginzburg–Landau model

Cited by 21 publications

References 14 publications

Hysteretic Vortex-Matching Effects in High- Tc Superconductors with Nanoscale Periodic Pinning Landscapes Fabricated by He Ion-Beam Projection

Hysteretic Vortex-Matching Effects in High- Tc Superconductors with Nanoscale Periodic Pinning Landscapes Fabricated by He Ion-Beam Projection

Role of surface defects and material inhomogeneities for vortex nucleation in superconductors within time-dependent Ginzburg-Landau theory in 2 and 3 dimensions

Vortex guide under a Lorentz force.

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