Advertisement

Inhomogeneous Ginzburg–Landau Parameter in a 2D Mesoscopic Superconductor

  • C. A. AguirreEmail author
  • H. B. Achic
  • J. Barba-Ortega
Article
  • 15 Downloads

Abstract

We study the behavior that the inclusion of zones with different Ginzburg–Landau parameters \(\kappa \) has on the magnetization, Cooper pair density, and \(H_{1}\), the magnetic field in which the first vortex penetration occurs, in a superconducting 2D square in the presence of an external applied magnetic field H. We report anomalous vortex configurations and an appreciable variation (no monotonic) of \(H_{1}\) due to the inhomogeneity of \(\kappa (x,y)\). The behavior of the superconducting state for different values of the \(\kappa \), along with its respective variations, has been studied by including different convergence ratios in the time-dependent equations of the Ginzburg–Landau model. In addition, the variation of the magnetic susceptibility \(\chi \) according to the applied magnetic field is shown, and how an understanding of the magnetic moment density \(\mu \) present in the sample can be established.

Keywords

Ginzburg–Landau Magnetization Mesoscopics Superconductor 

Notes

Acknowledgements

C. A. Aguirre would like to thank the Brazilian Agency CAPES for financial support and the Ph.D. fellowship (Grant Number 089.229.701-89, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior). H. B. Achic thanks Facultad de Ciencias-UNI, Lima-Peru, for partial financial support.

References

  1. 1.
    A.I. Buzdin, Rev. Mod. Phys. 77, 935 (2005)ADSCrossRefGoogle Scholar
  2. 2.
    J.Y. Gu, C.Y. You, J.S. Jiang, J. Pearson, Ya B. Bazaliy, S.D. Bader, Phys. Rev. Lett. 89, 267001 (2002)ADSCrossRefGoogle Scholar
  3. 3.
    J. Barba-Ortega, E. Sardella, J. Aguiar, Supercond. Sci. Technol. 24, 015001 (2011)ADSCrossRefGoogle Scholar
  4. 4.
    C. Aguirre, J. González, J. Barba-Ortega, J. Low Temp. Phys. 182, 51 (2016)ADSCrossRefGoogle Scholar
  5. 5.
    C. Aguirre, J. Barba-Ortega, J. Low Temp. Phys. 186, 250 (2017)ADSCrossRefGoogle Scholar
  6. 6.
    W.C. Fon, K.C. Schwab, J.M. Worlock, M.L. Roukes, Nano Lett. 5, 1968 (2005)ADSCrossRefGoogle Scholar
  7. 7.
    F.R. Ong, O. Bourgeois, Eur. Phys. Lett. 79, 67003 (2007)ADSCrossRefGoogle Scholar
  8. 8.
    V.R. Misko, B. Xu, F.M. Peeters, Physica C 468, 726 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    P.G. de Gennes, J. Matricon, Rev. Mod. Phys. 36, 45 (1964)ADSCrossRefGoogle Scholar
  10. 10.
    E.A. Andrushin, V.L. Ginzburg, A.P. Silin, Usp. Fiz. Nauk 163, 105 (1997)CrossRefGoogle Scholar
  11. 11.
    L. Komendova, M.V. Milošević, A.A. Shanenko, F.M. Peeters, Phys. Rev. B 84, 064522 (2011)ADSCrossRefGoogle Scholar
  12. 12.
    A.K. Geim, S.V. Dubonos, I.V. Grigorieva, K.S. Novoselov, F.M. Peeters, V.A. Schweigert, Nat. Lond. 407, 55 (2000)ADSCrossRefGoogle Scholar
  13. 13.
    S.V. Yampolskii, F.M. Peeters, Phys. Rev. B 62, 9663 (2000)ADSCrossRefGoogle Scholar
  14. 14.
    M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996)Google Scholar
  15. 15.
    A.D. Hernández, D. Domínguez, Phys. Rev. B 65, 144529 (2002)ADSCrossRefGoogle Scholar
  16. 16.
    G.C. Buscaglia, C. Bolech, A. Lopez, in Connectivity and Superconductivity, ed. by J. Berger, J. Rubinstein (Springer, New York, 2000)Google Scholar
  17. 17.
    M.V. Milošević, R. Geurts, Physica C 470, 19 (2010)CrossRefGoogle Scholar
  18. 18.
    A.L. Fetter, P.C. Hohenberg, Superconductivity (Marcel Dekker, New York, 1969)Google Scholar
  19. 19.
    K. Watanabe, T. Kita, M. Arai, Phys. Rev. B 71, 144515 (2005)ADSCrossRefGoogle Scholar
  20. 20.
    C. Poole, R. Prozorovand, H. Farach, Superconductivity, 3rd edn. (Elsevier, Amsterdam, 2014)Google Scholar
  21. 21.
    C. Monton, C. Ramos, J. Guimpel, R.D. Zysler, App. Phys. Lett. 2(15), 152508 (2008)ADSCrossRefGoogle Scholar
  22. 22.
    R. Steiner, P. Ziemann, Phys. Rev. B 74, 094504 (2006)ADSCrossRefGoogle Scholar
  23. 23.
    AYu. Rusanov, S. Habraken, J. Aarts, Phys. Rev. B 73, 060505 (2006)ADSCrossRefGoogle Scholar
  24. 24.
    A.D. Hernández, A. Domínguez, Appl. Surf. Sci. 254, 69 (2007)ADSCrossRefGoogle Scholar
  25. 25.
    C. Monton, J. Guimpel, F. de la Cruz, Surf. Sci. 254(15), 375 (2007)ADSCrossRefGoogle Scholar
  26. 26.
    S. Bergeret, A.F. Volkov, K.B. Efetov, Phys. Rev. Lett. 80, 4096 (2001)ADSCrossRefGoogle Scholar
  27. 27.
    S.B. Dubonos, A.K. Gein, K.S. Novoselov, I.V. Grigorieva, Phys. Rev. B 65, 220513 (2002)ADSCrossRefGoogle Scholar
  28. 28.
    H. Mühge, N.N. Garif’yanov, K.T.B.K. YuV Goryunov, I.A. Westerholt, H.Zabel Garifullin, Physica C 296, 325 (1998)ADSCrossRefGoogle Scholar
  29. 29.
    R.A. Webb, S. Washburn, C.P. Umbach, R.B. Laibowitz, Phys. Rev. Lett. 54, 2696 (1985)ADSCrossRefGoogle Scholar
  30. 30.
    J. Barba-Ortega, E. Sardella, J. Albino Aguiar, Phys. Lett. A 379, 732 (2015)CrossRefGoogle Scholar
  31. 31.
    J. Barba-Ortega, E. Sardella, R. Zadorosny, Phys. Lett. A 382, 215 (2018)ADSCrossRefGoogle Scholar
  32. 32.
    L.P. Levy, G. Dolan, J. Dunsmuir, H. Bouchiat, Phys. Rev. Lett. 64, 2074 (1990)ADSCrossRefGoogle Scholar
  33. 33.
    A.S. Melnikov, I.M. Nefedov, D.A. Ryzhov, I.A. Shereshevskii, V.M. Vinokur, P.P. Vysheslavtsev, Phys. Rev. B 65, 140503(R) (2002)ADSCrossRefGoogle Scholar
  34. 34.
    R. Geurts, M.V. Milošević, F.M. Peeters, Phys. Rev. Lett. 97, 137002 (2006)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Departamento de FísicaUniversidad Federal de Mato-GrossoCuiabáBrazil
  2. 2.Facultad de CienciasUniversidad Nacional de IngenieríaLimaPeru
  3. 3.Departamento de FísicaUniversidad Nacional de ColombiaBogotáColombia

Personalised recommendations