Vortices in a mesoscopic superconducting circular sector

Sardella, Edson; Lisboa‐Filho, Paulo Noronha; Malvezzi, André Luiz

doi:10.1103/physrevb.77.104508

Cited by 31 publications

(24 citation statements)

References 20 publications

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“…These configurations are strongly influenced by both the geometry and size of the sample. The occurrence of giant vortices in coherence length-sized samples have been predicted by several theoretical calculations, [17][18][19][20][21][22] although in some exotic confined geometries, such as a circular sector, 23 they were not observed. Several authors have tried to detect this state experimentally.…”

Section: Introductionmentioning

confidence: 90%

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Crossover between macroscopic and mesoscopic regimes of vortex interactions in type-II superconductors

et al. 2012

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In the present work we report the existence of a crossover between the macroscopic and mesoscopic regimes of vortex interactions in type-II superconductors. Our findings rely on a systematic procedure to determine this crossover, which is based on the influence of the surface on the vortex structure of small superconductors. An adjacent result that we have found is that near this regime transformation, the vortex lattice develops a progressive change of symmetry, from square to hexagonal, which is intimately related to the meso-to-macro crossover. Our numerical simulations have been done for a long superconducting cylinder of square cross section for a wide range of length scales and temperatures.

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Section: Introductionmentioning

confidence: 90%

“…29 it has been adapted for very thin superconductors and in Ref. 23 for circular geometries. The simulations were carried out for samples with square geometry submitted to external magnetic fields applied along the cylinder axis, which is considered infinite.…”

Section: ∂ ∂Tmentioning

confidence: 99%

Crossover between macroscopic and mesoscopic regimes of vortex interactions in type-II superconductors

et al. 2012

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“…In this case, the magnetic field can be taken nearly uniform inside the superconductor H 0 = ∇ × A 0 [27]. For a 2D superconducting square sample we take g(x, y) = 1.0 in all computational mesh.…”

Section: Theorymentioning

confidence: 99%

Manipulación controlada de vórtices en muestras superconductoras 2D/3D

Acosta

Siado²,

Ortega³

2015

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It is well-known that the time dependent Ginzburg-Landau theory is a reliable theoretical tool to investigate the Shubnikov state in a superconductor sample in presence of an external applied magnetic field. In this work, we solved the system of the Ginzburg-Landau equations in two and three dimensions for two particular cases: For a parallelepiped with volume V p ; with transversal area S p = 9ξ 2 (0), 36ξ 2 (0) and height h p = 1ξ (0), 6ξ (0), where ξ (0) is the coherence length. In the other hand, for a thin disk with a centered circular and triangular defect, with topology of dot/anti-dot. In both cases are immersed into a homogeneous magnetic field. The effects of pinning/anti-pinning forces due to defects in the disk and demagnetization effects due to the finite size of the parallelepiped on configuring vortices and critical fields are discussed. In the tridimensional case, the magnetic field and the order parameter are not invariant along the direction z.Key words: Ginzburg-Landau, Mesoscopic System, Vortices. ResumenEs bien conocido que la teoría de Ginzburg-Landau es una herramienta teórica confiable para investigar el estado de Shubnikov en muestras superconductoras en presencia de campos magnéticos aplicados. En este trabajo resolvemos el sistema de ecuaciones Ginzburg Landau en dos y tres dimensiones en dos casos particulares: para un paralelepípedo de volumen V p ; con área transversal S p = 9ξ 2 (0), 36ξ 2 (0) y altura h p = 1ξ (0), 6ξ (0), donde ξ (0) es la longitud de coherencia y por otra parte, para un disco fino con un defecto circular y triangular centrado con topología punto/anti-punto. En ambos casos las muestran estan submersas en un campo magnético homogeneo. Los efectos de las fuerzas de anclaje/anti-anclaje debido a los defectos en el disco y los efectos de demagnetización debido al tamaño finito del paralelepipedo sobre la configuración de vortices y campos críticos son discutidos. En el caso tridimensional, el campo magnético y el parámetro de orden no son invariantes a lo largo de la dirección z.

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“…For this sample the external magnetic field is applied along the z axis (see Figure 1). The time dependent Ginzburg-Landau (TDGL) equations for isotropic superconductors which govern the superconductivity order parameter and the vector potential in the zero electric potential gauge are given by: [11][12][13][14]: The number of vortices can be found integrating the supercurrent S J along a rectangle containing the superconducting. This leads us to:…”

Section: Theoretical Methodsmentioning

confidence: 99%

2D barrier in a superconducting niobium square

Joya

Sardella

Barba-Ortega

2014

AIP Conference Proceedings

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Abstract. The presence of barriers changes the vortex structure in superconducting Nb square in presence of a uniform applied magnetic field. The Cooper pair configurations in a mesoscopics superconducting square of Nb with a barrier are calculated within the nonlinear Ginzburg Landau equations. We predict the nucleation of multi-vortex states into the sample and a soft entry of the magnetic field inside and around into the barrier. A novel and non-conventional vortex configurations occurs at determined magnetic field.

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Vortices in a mesoscopic superconducting circular sector

Cited by 31 publications

References 20 publications

Crossover between macroscopic and mesoscopic regimes of vortex interactions in type-II superconductors

Crossover between macroscopic and mesoscopic regimes of vortex interactions in type-II superconductors

Manipulación controlada de vórtices en muestras superconductoras 2D/3D

2D barrier in a superconducting niobium square

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