Superconducting properties of a parallelepiped mesoscopic superconductor: A comparative study between the 2D and 3D Ginzburg–Landau models

Barba-Ortega, J.; Sardella, Edson; Aguiar, J. Albino

doi:10.1016/j.physleta.2014.12.030

Cited by 34 publications

(15 citation statements)

References 30 publications

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“…For the sake of keeping the computation time within reasonable limits, the simulated sample size is scaled down to a 2 μm×2 μm square. A similar system was recently addressed numerically by Barba-Ortega and co-workers [43]. The coherence length ξ is 16 nm and the (bulk) penetration depth λ is 120 nm.…”

Section: Time-dependent Ginzburg-landau Simulationsmentioning

confidence: 86%

Flux penetration in a superconducting film partially capped with a conducting layer

et al. 2017

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The influence of a conducting layer on the magnetic flux penetration in a superconducting Nb film is studied by magneto-optical imaging. The metallic layer partially covering the superconductor provides an additional velocity-dependent damping mechanism for the flux motion that helps to protect the superconducting state when thermomagnetic instabilities develop. If the flux advances with a velocity slower than w = 2/μ 0 σ t, where σ is the cap layer conductivity and t is its thickness, the flux penetration remains unaffected, whereas for incoming flux moving faster than w, the metallic layer becomes an active screening shield. When the metallic layer is replaced by a perfect conductor, it is expected that the flux braking effect will occur for all flux velocities. We investigate this effect by studying Nb samples with a thickness step. Some of the observed features, namely the deflection of the flux trajectories at the border of the thick center, as well as the favored flux penetration at the indentation, are reproduced by time-dependent Ginzburg-Landau simulations.

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Section: Time-dependent Ginzburg-landau Simulationsmentioning

confidence: 86%

Flux penetration in a superconducting film partially capped with a conducting layer

et al. 2017

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“…La primera ecuación de Ginzburg-Landau dependiente del tiempo para peliculas finas en presencia de campos y corrientes están dada por [18], [19], [20]:…”

Section: Formalismo Teóricounclassified

“…Condiciones de contorno de Neumann son tomadas en todas las fronteras de la muestra, excepto en los contactos donde variamos b. Con J siendo la corriente aplicada en unidades de J 0 = cσ /2et GL ; σ es la conductividad en el estado normal. Tomamos Γ = 10 y µ = 5,79 que son obtenidos del formalismo microscópico [20]. Condición necesaria para películas finas d ξ. El diagrama de fase de los superconductores mesoscópicos está fuertemente influenciado or las condiciones de contorno para el parámetro de orden.…”

Section: Formalismo Teóricounclassified

Desarrollo analítico de las ecuaciones Ginzburg-Landau parapelículas delgadas superconductoras en presencia de corrientes

Aguirre¹,

Martins²,

Barba-Ortega³

2018

revuin

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Un análisis analítico para obtener las ecuaciones Ginzburg-Landau dependientes del tiempo en presencia de una corriente J y de campo magnético H, en una película delgada superconductora mesoscópica, es mostrado. La corriente de transporte es aplicada en un pequeño contacto ubicado en la frontera de la muestra. Estos contactos son incluídos a través del parámetro de extrapolación de deGennes b en las condiciones de contorno. Finalmente, mostramos una útil herramienta que puede ser usada para encontrar la evolución de ψ(A, t) en dicho formalismo. Encontramos la dependencia de la magnetización M(H) y de la susceptibilidad magnética χ m (H) con b para dicha muestra.

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“…In recent works, the effect of the deGennes extrapolation length b on the superconducting state of two and three dimensional specimens were studied. The structural and magnetic properties of the vortex state are significantly modified as the size of the sample is comparable to the coherence length ξ and/or the London penetration depth λ [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Influence of the deGennes extrapolation parameter on the resistive state of a superconducting strip

2018

Self Cite

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We studied the resistive state of a mesoscopic superconducting strip (bridge) at zero external applied magnetic field under a transport electric current, J a , subjected to different types of boundary conditions. The current is applied through a metallic contact (electrode) and the boundary conditions are simulated via the deGennes extrapolation length b. It will be shown that the characteristic current-voltage curve follows a scaling law for different values of b. We also show that the value of J a at which the first vortexantivortex (V-Av) pair penetrates the sample, as well as their average velocities and dynamics, strongly depend on the b values. Our investigation was carried out by solving the two-dimensional generalized time dependent Ginzburg-Landau (GTDGL) equation.

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Superconducting properties of a parallelepiped mesoscopic superconductor: A comparative study between the 2D and 3D Ginzburg–Landau models

Cited by 34 publications

References 30 publications

Flux penetration in a superconducting film partially capped with a conducting layer

Flux penetration in a superconducting film partially capped with a conducting layer

Desarrollo analítico de las ecuaciones Ginzburg-Landau parapelículas delgadas superconductoras en presencia de corrientes

Influence of the deGennes extrapolation parameter on the resistive state of a superconducting strip

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