Transport phenomena in superconductors: kinematic vortex
Keywords:
Ginzburg-Landau, Superconductors, Vortex
Abstract
The phenomenological Ginzburg-Landau theory (FGLT) is a strong tool in understanding the physics of the superconductors at low critical temperature in the presence of applied fields and currents. The FGLT is derived from the second order transition theory of Landau based on critical phenomena, leading to a set of two coupled nonlinear Ginzburg-Landau equations (GLE). In this paper, we solve the GLE to a superconducting slab of Al in presence of applied current j at zero magnetic fields. We have analysed the appearance and subsequent annihilation of vortexanti- vortex pairs in the middle of the sample at an external applied current j1. A small resistivity is found in Meissner range in the current-voltage curve at j ≤ j1.
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References
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[3] K. Yu, M. B. S. Hesselberth, P. H. Kes and B. L. T. Plourde, “Vortex dynamics in superconducting channels with periodic constrictions”, Phys. Rev. B, vol 81, p. 184503, 2010.
[4] M. B. Hastings, C. J. O. Reichhardt and C. Reichhardt, “Ratchet Cellular Automata”, Phys. Rev. Lett., vol 90, p. 247004, 2003.
[5] T. Puig, E. Rosseel, M. Baert, M. J. V. Bael, V. V. Moshchalkov and Y. Bruynseraede, “Stable vortex configurations in superconducting 2×2 antidot clusters”, Appl. Phys. Lett., vol 70, p. 3155, 1997.
[6] G. Karapetrov, V. Yefremenko, G. Mihajlovic, J. E. Pearson, M. Lavarone, V. Novosad and S. D. Bader, “Evidence of vortex jamming in Abrikosov vortex flux flow regime”, Phys. Rev. B, vol. 86, p. 054524, 2012.
[7] G. Berdiyorov, K. Harrabi, F. Oktasendra, K. Gasmi, A. I. Mansour, J. P. Maneval and F. M. Peeters, “Dynamics of current-driven phase-slip centers in superconducting strips”, Phys. Rev. B, vol. 90, 054506, 2014.
[8] F. Rogeri, R. Zadorosny, P. N. Lisboa-Filho, E. Sardella and W. A. Ortiz, “Magnetic field profile of a mesoscopic SQUID-shaped superconducting film”, Supercond. Sci. Technol., vol. 26, p. 075005, 2013.
[9] R. I. Rey, A. R. Álvarez, C. Carballeira, J. Mosqueira, F. Vidal, S. Salem, A. D. Alvarenga, R. Zhang and H. Luo, “Measurements of the superconducting fluctuations in optimally doped BaFe2−xNixAs2 under high magnetic fields: probing the 3D-anisotropic Ginzburg–Landau approach”, Supercond. Sci. Technol., vol. 27, p. 07500, 2014.
[10] P. J. Pereira, V. V. Moshchalkov and L. F. Chibotaru, “Efficient solution of 3D Ginzburg-Landau problem for mesoscopic superconductors”, J. Phys. Conf. Ser., vol. 490, p. 012220, 2014.
[11] J. I. Martin, “Flux Pinning in a Superconductor by an Array of Submicrometer Magnetic Dots”, Phys. Rev. Lett., vol. 79, p. 1929, 1997.
[12] D. J. Morgan and J. B. Ketterson, “Asymmetric Flux Pinning in a Regular Array of Magnetic Dipoles”, Phys. Rev. Lett., vol. 80, p. 3614, 1998.
[13] M. V. Milosevic, G. R. Berdiyorov and F. M. Peeters, “Mesoscopic Field and Current Compensator Based on a Hybrid Superconductor-Ferromagnet Structure”, Phys. Rev. Lett., vol. 95, p. 147004, 2005.
[14] G. R. Berdiyorov, “Effect of surface functionalization on the electronic transport properties of Ti3C2 MXene”, Eurp. Phys. Lett., vol. 111, p. 67002, 2015.
[15] G. R. Berdiyorov, K. Harrabi, J. P. Maneval and F. M. Peeters, “Effect of pinning on the response of superconducting strips to an external pulsed current”, Supercond. Sci. Technol, vol. 28, p. 25004, 2015.
[16] G. R. Berdiyorov, M. V. Milosevic, F. M. Peeters and D. Y. Vodolazov, “Kinematic vortex-antivortex lines in strongly driven superconducting stripes”, Phys. Rev. B, 79 184506, 2009.
[17] P. Sánchez, J. Albino Aguiar, D. Domínguez, “Behavior of the flux-flow resistivity in mesoscopic superconductors”, Physica C, vol. 503, p. 15, 2014.
[18] J. Barba-Ortega, E. Sardella, J. A. Aguiar, “Superconducting boundary conditions for mesoscopic circular samples”, Sci. Technol., vol. 24, p. 015001, 2011.
[19] J. Barba-Ortega, E. Sardella, J. A. Aguiar, “Superconducting properties of a parallelepiped mesoscopic superconductor: A comparative study between the 2D and 3D Ginzburg–Landau models”, Phys. Lett. A. vol. 379, no. 7, p. 732, 2015.
[20] T. Golod, A. Iovan V. M. Krasnov, “Single Abrikosov vortices as quantized information bits”, Nature Communications, vol. 6, p. 8628, 2015.
[21] A. C. Bolech, G. C. Buscaglia, A. López, Connectivity and Superconductivity, in: J. Berger, J. Rubinstein, Ed. Heidelberg, New, York: Springer, 2000.
[22] D. Gropp, H. G. Kaper, G. K. Leaf, D. M. Levine, M. Palumbo, V. M. Vinokur, “Numerical simulation of vortex dynamics in type-II superconductors”, J. Comput. Phys., Vol. 123, p. 254, 1996.
[23] P. G. de Gennes, “Superconductivity of Metals and Alloys”, Ed. New York: Addison-Wesley, 1994, p. 274.
[21] A. C. Bolech, G. C. Buscaglia, A. López, Connectivity and Superconductivity, in: J. Berger, J. Rubinstein, Ed. Heidelberg, New, York: Springer, 2000.
[22] D. Gropp, H. G. Kaper, G. K. Leaf, D. M. Levine, M. Palumbo, V. M. Vinokur, “Numerical simulation of vortex dynamics in type-II superconductors”, J. Comput. Phys., Vol. 123, p. 254, 1996.
[23] P. G. de Gennes, “Superconductivity of Metals and Alloys”, Ed. New York: Addison-Wesley, 1994, p. 274.
Published
2017-03-27
How to Cite
Barba-Ortega, J., Valbuena-Niño, E., & Rincón-Joya, M. (2017). Transport phenomena in superconductors: kinematic vortex. ITECKNE, 14(1), 11 - 16. https://doi.org/https://doi.org/10.15332/iteckne.v14i1.1625
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Section
Research and Innovation Articles
