Artículos
Publicado 2019-02-28
Palabras clave
- Ginzburg-Landau,
- Poisson; magnetización,
- susceptibilidad
Cómo citar
Aguirre, C. A., Martins, Q. da S., & Barba Ortega, J. J. (2019). Desarrollo analítico de las ecuaciones Ginzburg-Landau para películas delgadas superconductoras en presencia de corrientes. Revista UIS Ingenierías, 18(2), 213–220. https://doi.org/10.18273/revuin.v18n2-2019020
Resumen
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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Referencias
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L. Komendova, M. V. Miloševi´c, A. A. Shanenko, and F. M. Peeters, “Dierent length scales for order parameters in two-gap superconductors: Extended Ginzburg-Landau theory”, Phys. Rev.B, vol. 84, no. 6, 2011. doi: 10.1103/PhysRevB.84.06452
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O. Bourgeois, S. E. Skipetrov, F. Ong and J. Chaussy, “Calorimetry of Mesoscopic Superconducting Loops”, Phys. Rev. Lett., vol. 94, 2004. doi: 10.1103/PhysRevLett.94.057007
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G. C. Buscaglia, C. Bolech and A. Lopez, Connectivity and Superconductivity. Springer, 2000.
W. C. Fon, K. C. Schwab, J. M.Worlock, and M. L. Roukes, “Nanoscale, Phonon-Coupled Calorimetry with Sub-Attojoule/Kelvin Resolution”, Nano Lett., vol. 5, no. 10, pp. 1968-171, 2005. doi: 10.1021/nl051345o
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S. Okumaa, Y. Yamazakia, N. Kokubob, “Novel vortex dynamics in Corbino-disk superconductors”, Physica C Superconductivity, vol. 470, 2010. doi: 10.1016/j.physc.2009.10.110
M. Miguel, S. Zapperi, “Tearing transition and plastic flow in superconducting thin films”, Nat Mater., vol. 2, no. 7, pp. 477-481, 2003. doi: 10.1038/nmat909
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J. Barba-Ortega, E. Sardella, J. Albino 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, pp. 732-737, 2015. doi: 10.1016/j.physleta.2014.12.030
J. Barba-Ortega, and M. Rincón Joya, “Configuración de vórtices en películas finas: Teoría Ginzburg-Landau no lineal,” TecnoLogicas, vol. 27, pp. 89-102, 2011.
J. Barba-Ortega, E. D. Valbuena-Niño, M. Rincón Joya, “Transport phenomena in superconductors: kinematic vortex”, Iteckne, vol. 14, no. 1, pp. 11-16, 2017.
F. Duran-Flórez, M. Rincón-Joya, J. Barba-Ortega, “Perfil de súper-corrientes en una lámina de Ala campo magnético cero”, Respuestas, vol. 21, no. 2, pp. 6-12, 2016.
M. Tinkham, Introduction to Superconductivity. New York: McGraw-Hill, 1996.
P. G. de Gennes, Superconductivity of Metals and Alloys Addison- New York: Wesley, 1994.
A. D. Hernández and D. Domínguez, “Surface barrier in mesoscopic type-I and type-II superconductors”,
Phys. Rev. B, vol. 65, no. 14, 2002. doi: 10.1103/PhysRevB.65.144529
J. D. González, J. Barón-Jaimez and J. Barba- Ortega, “Complex Vortex Configuration in a Disk with a Higher/Lower Critical Temperature Superconducting Geometrical Central Defect”, J. Low Temp. Phys., vol. 179, no. 3-4, pp. 264-275, 2015. doi: 10.1007/s10909-015-1279-9
J. Barba-Ortega, J. D. González and E. Sardella, “Tower as magnetic antipinning core in a small superconducting sample”, Physica C: Superconductivity and its Applications., vol. 506, pp. 146-150, 2014. doi: 10.1016/j.physc.2014.06.007
A. L. Fetter and Hohenberg P. C., Superconductivity. New York: Marcel Dekker, 1969.
J. D. Patterson and B. C. Bailey, Solid-State Physics. New York: Springer Berlin Heidelberg, 2007. doi: 10.1007/978-3-540-34933-4
B. Xu, M. V. Milosevic and F. M. Peeters, “Calorimetric properties of mesoscopic superconducting disks, rings and cylinders”, Phys. Rev. B, vol. 81, no. 6, 2010. doi: 10.1103/PhysRevB.81.064501
K. Watanabe, T. Kita, and M. Arai, “Magnetic-field dependence of thermodynamic quantities in the vortex state of type-II superconductors,” Phys. Rev. B, vol. 71, no. 14, p. 144515, 2005.
A. Shokri, M. Dehghan, “Magnetic-field dependence of thermodynamic quantities in the vortex state of type-II superconductors”, CMES, vol.84, no.4, pp.333-358, 2012.
C. Aguirre, J. Barba-Ortega, “Efect of Anti-dots on the Magnetic Susceptibility in a Superconducting Long Prism”, J. Low Temp Phys, vol. 185, no. 5/6, pp. 186, 250, 2017. Doi: 10.1007/s10909-016-1695-5
C. Aguirre, H. Blas, J. Barba-Ortega, “Mesoscale vortex pinning landscapes in a two component superconductor”, Physica C, 2018. doi: 10.1007/s10909-016-1695-5
P. G. de Gennes and J. Matricon, “Collective Modes of Vortex Lines in Superconductors of the Second Kind”, Rev. Mod. Phys., pp. 45-49, 1964. doi: 10.1103/RevModPhys.36.45
L. Komendova, M. V. Miloševi´c, A. A. Shanenko, and F. M. Peeters, “Dierent length scales for order parameters in two-gap superconductors: Extended Ginzburg-Landau theory”, Phys. Rev.B, vol. 84, no. 6, 2011. doi: 10.1103/PhysRevB.84.06452
Y. Imry, Introduction to Mesoscopic Physics. Oxford Univ., 2002.
R. Fazio, V. F. Gantmakher and Y. Imry, New Directionsin Mesoscopic Physics. Berlin: Springer-
Verlag, 2003.
P. Singha-Deo, J. P. Pekola and Manninen M. “Heat capacity of mesoscopic superconducting disks, Europhys”, Europhys. Lett., vol. 50 no. 5, pp. 649-655, 2000. doi: 10.1209/epl/i2000-00319-x
A. Bezryadin, A. Buzdin and B. Pannetier, “Nucleation of vortices inside open and blind microholes”, Phys Rev B Condens Matter., vol. 53, no. 13, pp. 8553-8560, 1996.
O. Bourgeois, S. E. Skipetrov, F. Ong and J. Chaussy, “Calorimetry of Mesoscopic Superconducting Loops”, Phys. Rev. Lett., vol. 94, 2004. doi: 10.1103/PhysRevLett.94.057007
F. R. Ong, O. Bourgeois, S. E. Skipetrov and J. Chaussy, “Doping-dependent nonlinear Meissner effect and spontaneous currents in high-Tc superconductors”, Phys. Rev. Lett., vol. 97, 2004. doi: 10.1103/PhysRevB.71.014507
G. C. Buscaglia, C. Bolech and A. Lopez, Connectivity and Superconductivity. Springer, 2000.
W. C. Fon, K. C. Schwab, J. M.Worlock, and M. L. Roukes, “Nanoscale, Phonon-Coupled Calorimetry with Sub-Attojoule/Kelvin Resolution”, Nano Lett., vol. 5, no. 10, pp. 1968-171, 2005. doi: 10.1021/nl051345o
F. R. Ong and O. Bourgeois, “Topology eects on the heat capacity of mesoscopic”, European Phys. Lett. vol. 79, no. 6, 2007. doi: 10.1209/0295-5075/79/67003
L. Cabral, J. Albino Aguiar, “Vortex configurations in superconducting thin disks with finite,” Physica C Superconductivity, vol. 460, pp. 1295-1296, 2007. doi: 10.1016/j.physc.2007.03.330
S. Okumaa, Y. Yamazakia, N. Kokubob, “Novel vortex dynamics in Corbino-disk superconductors”, Physica C Superconductivity, vol. 470, 2010. doi: 10.1016/j.physc.2009.10.110
M. Miguel, S. Zapperi, “Tearing transition and plastic flow in superconducting thin films”, Nat Mater., vol. 2, no. 7, pp. 477-481, 2003. doi: 10.1038/nmat909
E. A. Andrushin, V. L. Ginzburg, and A. P. Silin, “On the giant thermoelectric efect in a hollow superconducting Cylinder”, Phys. Usp., vol. 40, pp. 435–438, 1997. doi: 10.1070/PU1997v040n04ABEH001559
R. O. Zaitsev, “Current-voltage characteristics of nanodimensional normal metal-superconductor point
difusion junctions”, Tech. Phys. Lett., vol. 29, no. 11, pp 913–916, 2003. doi: 10.1134/1.1631362
J. Barba-Ortega, E. Sardella, J. Albino 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, pp. 732-737, 2015. doi: 10.1016/j.physleta.2014.12.030
J. Barba-Ortega, and M. Rincón Joya, “Configuración de vórtices en películas finas: Teoría Ginzburg-Landau no lineal,” TecnoLogicas, vol. 27, pp. 89-102, 2011.
J. Barba-Ortega, E. D. Valbuena-Niño, M. Rincón Joya, “Transport phenomena in superconductors: kinematic vortex”, Iteckne, vol. 14, no. 1, pp. 11-16, 2017.
F. Duran-Flórez, M. Rincón-Joya, J. Barba-Ortega, “Perfil de súper-corrientes en una lámina de Ala campo magnético cero”, Respuestas, vol. 21, no. 2, pp. 6-12, 2016.
M. Tinkham, Introduction to Superconductivity. New York: McGraw-Hill, 1996.
P. G. de Gennes, Superconductivity of Metals and Alloys Addison- New York: Wesley, 1994.
A. D. Hernández and D. Domínguez, “Surface barrier in mesoscopic type-I and type-II superconductors”,
Phys. Rev. B, vol. 65, no. 14, 2002. doi: 10.1103/PhysRevB.65.144529
J. D. González, J. Barón-Jaimez and J. Barba- Ortega, “Complex Vortex Configuration in a Disk with a Higher/Lower Critical Temperature Superconducting Geometrical Central Defect”, J. Low Temp. Phys., vol. 179, no. 3-4, pp. 264-275, 2015. doi: 10.1007/s10909-015-1279-9
J. Barba-Ortega, J. D. González and E. Sardella, “Tower as magnetic antipinning core in a small superconducting sample”, Physica C: Superconductivity and its Applications., vol. 506, pp. 146-150, 2014. doi: 10.1016/j.physc.2014.06.007
A. L. Fetter and Hohenberg P. C., Superconductivity. New York: Marcel Dekker, 1969.
J. D. Patterson and B. C. Bailey, Solid-State Physics. New York: Springer Berlin Heidelberg, 2007. doi: 10.1007/978-3-540-34933-4
B. Xu, M. V. Milosevic and F. M. Peeters, “Calorimetric properties of mesoscopic superconducting disks, rings and cylinders”, Phys. Rev. B, vol. 81, no. 6, 2010. doi: 10.1103/PhysRevB.81.064501
K. Watanabe, T. Kita, and M. Arai, “Magnetic-field dependence of thermodynamic quantities in the vortex state of type-II superconductors,” Phys. Rev. B, vol. 71, no. 14, p. 144515, 2005.
A. Shokri, M. Dehghan, “Magnetic-field dependence of thermodynamic quantities in the vortex state of type-II superconductors”, CMES, vol.84, no.4, pp.333-358, 2012.