Random distribution of topological defects in mesoscopic superconducting samples
Distribución aleatoria de defectos topológicos en muestras superconductoras mesoscópicas
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Silva-Mosquera, O., Vargas-Ramirez, O. Y. ., & Barba-Ortega, J. J. . (2020). Random distribution of topological defects in mesoscopic superconducting samples. Respuestas, 25(1), 178–183. https://doi.org/10.22463/0122820X.2434
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Abstract
In the present work we analyze the effect of topological defects at different temperatures in a mesoscopic superconducting sample in the presence of an applied magnetic field H. The time-dependent Ginzburg-Landau equations are solved with the method of link variables. We study the magnetization curves M(H), number of vortices N(H) and Gibbs G(H) free energy of the sample as a applied magnetic field function. We found that the random distribution of the anchor centers for the temperatures used does not cause strong anchor centers for the vortices, so the configuration of fluxoids in the material is symmetrical due to the well-known Beam-Livingston energy barrier.
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References
M. Thinkham, “Introduction to Superconductivity”, 2nd ed. (McGraw-Hill, New York, 1996.
E. D. V. Niño, A. Díaz‐Lantada and J. Barba‐Ortega, “Vortex matter in a superconducting square under 2D thermal gradient”, Journal of Low Temperature Physics, vol. 195, pp. 202-210, 2019.
L. Komendova, M. V. Miloševic, A. A. Shanenko and F. M. Peeters, “Different length scales for order parameters in two-gap superconductors: Extended Ginzburg-Landau theory”, Physical Review B, vol. 84, no. 064522, pp.1-5, 2011
R. Fazio, V. F. Gantmakher and Y. Imry, “New Directions in Mesoscopic Physics”, edited by (SpringerVerlag, Berlin), 2003
J. Barba-Ortega and M. R. Joya, “Nucleación de vórtices y antivórtices en películas superconductoras con nanoestructuras magnéticas”, Revista Respuestas, vol. 16, no. 1, pp. 45 - 49, 2011.
C. A. Aguirre, E. Sardella and J. Barba-Ortega, “Length dependence of the number of phase slip lines in a superconducting strip”, Solid State Communications, vol. 306, no. 113799, pp. 1-7, 2020.
J. Barba-Ortega, H. M. Carrillo and C.A. Sjogreen-Blanco “Unidimensional thermal gradients T^n in a nanoscopic superconductor”, Physica C: Superconductivity, vol. 525, pp. 61-64, 2016.
T. N. Jorge, C. A. Aguirre, A. S. de Arruda and J. Barba-Ortega, “Two-band superconducting square with a central defect: Role of the deGennes extrapolation length”, European Journal of Physics B, vol. 93, no. 69, pp.1-7, 2020.
P. G. deGennes and J. Matricon, “Collective modes of vortex lines in superconductors of the second kind”, Review Modern Physics, vol. 36, no. 1, pp. 45-49, 1964.
W. D. Lee, J. L. Chen, T. J. Yang and B. Chioua, “Influence of an external electric field on high-Tc superconductivity”, Physica C: Superconductivity, vol. 261, no.1, pp. 167-172, 1996.
N. V. Orlova, A. A. Shanenko, M. V. Miloševic, F. M. Peeters, A.V. Vagov and V. M. Axt, “Ginzburg-Landau theory for multiband superconductors: microscopic derivation” Physical Review B, vol. 87, no. 134510, pp. 1-8, 2013.
C. A. Aguirre, Q. Martins and J. Barba-Ortega, “Analytical development of Ginzburg-Landau equations for superconducting thin film in presence of currents”, Revista UIS Ingeniería, vol. 18, no. 2, pp. 213-220, 2019.
Q. Du, “Numerical approximations of the Ginzburg-Landau models for superconductivity”, Journal of Mathematical Physics, vol. 46, no. 095109, pp.1-7, 2005.
O. Vargas-Ramírez, O. Silva-Mosquera and J. Barba-Ortega, “Respuesta magnética de un superconductor inmerso en un campo de calor”, Aibi Revista de Investigación, Administración e Ingeniería, Vol. 8, no. 1, pp. 86-90, 2020.
G. C. Buscaglia, C. Bolech and A. Lopez, “Connectivity and Superconductivity”, (Eds.), Springer, 2000.
M. V. Miloševic and R. Geurts, “The Ginzburg–Landau theory in application”, Physica C, Physica C: Superconductivity, vol. 470, no. 19, pp. 791-795, 2010.
A. I. Gubin, K. S. IlÌĄin, S. A. Vitusevich, M. Siegel and N. Klein, “Dependence of magnetic penetration depth on the thickness of superconducting Nb thin films” Physical Review B, vol. 72, no. 064503, pp. 1-6, 2005.
E. C. S Duarte, A. Presotto, D. Okimoto, V. S Souto, E. Sardella and R. Zadorosny, “Use of thermal gradients for control of vortex matter in mesoscopic superconductors”, Journal of Physics: Condensed Matter, vol. 31, no. 405901, pp. 1-8, 2019.
E. D. V. Niño, A. Díaz‐Lantada and J. Barba‐Ortega, “Vortex matter in a superconducting square under 2D thermal gradient”, Journal of Low Temperature Physics, vol. 195, pp. 202-210, 2019.
L. Komendova, M. V. Miloševic, A. A. Shanenko and F. M. Peeters, “Different length scales for order parameters in two-gap superconductors: Extended Ginzburg-Landau theory”, Physical Review B, vol. 84, no. 064522, pp.1-5, 2011
R. Fazio, V. F. Gantmakher and Y. Imry, “New Directions in Mesoscopic Physics”, edited by (SpringerVerlag, Berlin), 2003
J. Barba-Ortega and M. R. Joya, “Nucleación de vórtices y antivórtices en películas superconductoras con nanoestructuras magnéticas”, Revista Respuestas, vol. 16, no. 1, pp. 45 - 49, 2011.
C. A. Aguirre, E. Sardella and J. Barba-Ortega, “Length dependence of the number of phase slip lines in a superconducting strip”, Solid State Communications, vol. 306, no. 113799, pp. 1-7, 2020.
J. Barba-Ortega, H. M. Carrillo and C.A. Sjogreen-Blanco “Unidimensional thermal gradients T^n in a nanoscopic superconductor”, Physica C: Superconductivity, vol. 525, pp. 61-64, 2016.
T. N. Jorge, C. A. Aguirre, A. S. de Arruda and J. Barba-Ortega, “Two-band superconducting square with a central defect: Role of the deGennes extrapolation length”, European Journal of Physics B, vol. 93, no. 69, pp.1-7, 2020.
P. G. deGennes and J. Matricon, “Collective modes of vortex lines in superconductors of the second kind”, Review Modern Physics, vol. 36, no. 1, pp. 45-49, 1964.
W. D. Lee, J. L. Chen, T. J. Yang and B. Chioua, “Influence of an external electric field on high-Tc superconductivity”, Physica C: Superconductivity, vol. 261, no.1, pp. 167-172, 1996.
N. V. Orlova, A. A. Shanenko, M. V. Miloševic, F. M. Peeters, A.V. Vagov and V. M. Axt, “Ginzburg-Landau theory for multiband superconductors: microscopic derivation” Physical Review B, vol. 87, no. 134510, pp. 1-8, 2013.
C. A. Aguirre, Q. Martins and J. Barba-Ortega, “Analytical development of Ginzburg-Landau equations for superconducting thin film in presence of currents”, Revista UIS Ingeniería, vol. 18, no. 2, pp. 213-220, 2019.
Q. Du, “Numerical approximations of the Ginzburg-Landau models for superconductivity”, Journal of Mathematical Physics, vol. 46, no. 095109, pp.1-7, 2005.
O. Vargas-Ramírez, O. Silva-Mosquera and J. Barba-Ortega, “Respuesta magnética de un superconductor inmerso en un campo de calor”, Aibi Revista de Investigación, Administración e Ingeniería, Vol. 8, no. 1, pp. 86-90, 2020.
G. C. Buscaglia, C. Bolech and A. Lopez, “Connectivity and Superconductivity”, (Eds.), Springer, 2000.
M. V. Miloševic and R. Geurts, “The Ginzburg–Landau theory in application”, Physica C, Physica C: Superconductivity, vol. 470, no. 19, pp. 791-795, 2010.
A. I. Gubin, K. S. IlÌĄin, S. A. Vitusevich, M. Siegel and N. Klein, “Dependence of magnetic penetration depth on the thickness of superconducting Nb thin films” Physical Review B, vol. 72, no. 064503, pp. 1-6, 2005.
E. C. S Duarte, A. Presotto, D. Okimoto, V. S Souto, E. Sardella and R. Zadorosny, “Use of thermal gradients for control of vortex matter in mesoscopic superconductors”, Journal of Physics: Condensed Matter, vol. 31, no. 405901, pp. 1-8, 2019.
