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Ginzburg–Landau Simulation of Superconducting Matter in a Semicircular Film

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Abstract

We numerically investigate the superconductor matter of a film type-II superconductor with circular geometry numerically in a computational simulation using the link variable method to solve the time dependent Ginzburg–Landau equation. We apply the implemented algorithm to a half circular film surrounded by a thin layer of another superconductor at a higher critical temperature. The film is immersed in an external magnetic field applied perpendicularly to its plane. The boundary condition is taken into account with the de Gennes extrapolation length b. We calculate the magnetization, vortex number, the third critical thermodynamical field as a function of the external magnetic field, and the b parameter. We find that for these interfaces the third critical field \(H_{\mathrm{c}_{3}}\) and the magnetization M are largely increased.

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Acknowledgements

This work was partially supported by the agencies CNPq, FACEPE (APQ 0589-105/08) (Brazil) and COLCIENCIAS (Colombia) RC-N 696-(2011). Discussions with Edson Sardella are gratefully acknowledged.

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Authors and Affiliations

  1. Departamento de Física, Universidad Nacional de Colombia, Bogotá, Colombia

    J. Barba-Ortega & Miryam R. Joya

  2. Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil

    J. Albino Aguiar

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  1. J. Barba-Ortega
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  2. Miryam R. Joya
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  3. J. Albino Aguiar
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Correspondence to J. Barba-Ortega.

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Barba-Ortega, J., Joya, M.R. & Aguiar, J.A. Ginzburg–Landau Simulation of Superconducting Matter in a Semicircular Film. J Supercond Nov Magn 26, 2253–2255 (2013). https://doi.org/10.1007/s10948-012-1534-0

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  • DOI: https://doi.org/10.1007/s10948-012-1534-0

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