Skip to main content
Log in

The Influence of Pinning Centers in the Magnetization of the Mesoscopic Superconductors

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

In this work, we study the mesoscopic superconducting samples with pinning centers using the time-dependent Ginzburg-Landau theory (TDGL). The pinning centers are introduced via the phenomenological function f(r) Sorensen et al. (Physica C 533, 40–43 2017). We calculated the magnetization curves M(H) for some distances d from the boundary of the sample to the position of the pinning center. From this investigation arises the relation between the first magnetic field H p and the distance d. It shows that the pinning centers located close to the boundary of the sample decrease H p , and also the existence of two regimes of the penetration of the vortices. The magnetization curves revel the existence of ruddle of jumps for low magnetic fields for small distances d, indicating a complex vortex penetration.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Sorensen, M.P., Pedersen, N.F., Ogren, M.: Physica C 533, 40–43 (2017)

    Article  ADS  Google Scholar 

  2. Blatter, G., Feigelman, M.V., Geshkenbein, V.B., Larkin, A.I., Vinokur, V.M.: Rev. Mod. Phys. 66, 1125 (1994)

    Article  ADS  Google Scholar 

  3. Larkin, A.I., Ovchinnikov, Y.N.: J. of Low Temp. Phys. 34, 409–428 (1979)

    Article  ADS  Google Scholar 

  4. Baert, M., Metlushko, V.V., Jonckheere, R., Moshchalkov, V.V., Bruynseraede, Y.: Phys. Rev. Lett. 74, 3269 (1995)

    Article  ADS  Google Scholar 

  5. Baert, M., Metlushko, V.V., Jonckheere, R., Moshchalkov, V.V., Bruynseraede, Y.: Europhys. Lett. 29, 157 (1995)

    Article  ADS  Google Scholar 

  6. Scanlan, R.M., Fietz, W.A., Koch, F.: J. Appl. Phys. 46, 2244 (1975). https://doi.org/10.1063/1.321816

    Article  ADS  Google Scholar 

  7. Silhanek, A.V., Van de Vondel, J., Leo, A., Ataklti, G.W., Gillijns, W., Moshchalkov, V.V.: Supercond. Sci. Technol 22, 034002 (2009)

    Article  ADS  Google Scholar 

  8. Buisson, O., Gandit, P., Rammal, R., Wang, Y.Y., Pannetier, B.: Phys. Lett. A 150, 36 (1990)

    Article  ADS  Google Scholar 

  9. Moshchalkov, V.V., Gielen, L., Strunk, C., Jonckheere, R., Qiu, X., van Haesendonck, C., Bruynseraede, Y.: Nature 319, 373 (1995)

    Google Scholar 

  10. Geim, A.K., Grigorieva, I.V., Dubonos, S.V., Lok, J.G.S., Maan, J.C., Pilippov, A.E., Peetes, F.M.: Nature 390, 259–262 (1997)

    Article  ADS  Google Scholar 

  11. Palacios, J.J.: Phys. Rev. B 58, R5948 (1998)

    Article  ADS  Google Scholar 

  12. Schweigert, V.A., Peeters, F.M., Deo, P.S.: Phys. Rev. Lett. 81, 2783 (1998)

    Article  ADS  Google Scholar 

  13. Chibotaru, L.F., Ceulemans, A., Bruyndoncx, V., Moshchalkov, V.V.: Nature 408, 833 (2000)

    Article  ADS  Google Scholar 

  14. Chibotaru, L.F., Ceulemans, A., Bruyndoncx, V., Moshchalkov, V.V.: Phys. Rev. Lett. 86, 1323 (2001)

    Article  ADS  Google Scholar 

  15. Geim, A.K., Dubonos, S.V., Grigorieva, I.V., Novoselov, K.S., Peeters, F.M., Schweigert, V.A.: Nature 407, 55 (2000)

    Article  ADS  Google Scholar 

  16. Ray, D., Reichhardt, C., Olson Reichhardt, C.J., Jankó, B.: Phys. C 503, 123–127 (2014)

    Article  ADS  Google Scholar 

  17. Zimmerman, W.B.J.: Multiphysics Modelling with Finite Element Methods. World Scientific, Singapore (2006)

    Book  MATH  Google Scholar 

  18. Alstrom, T.S., Sorensen, M.P., Petersen, N.F., Madsen, S.: Acta Appl. Math 115, 63–74 (2011). https://doi.org/10.1007/s10440-010-9580-0

    Article  MathSciNet  Google Scholar 

  19. de Oliveira, I.G.: Phys. Lett. A 381, 1248–1254 (2017)

    Article  ADS  Google Scholar 

  20. de Oliveira, I.G.: J. Supercond Nov. Magn. 27, 1143–1152 (2014)

    Article  Google Scholar 

  21. de Oliveira, I.G.: Phys.Lett. A 379, 1486–1491 (2015)

    Article  ADS  Google Scholar 

  22. Gorkov, L.P., Eliashburg, G.M.: Sov. Phys. (JETP) 27, 328–334 (1968)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Isaías G. de Oliveira.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

de Oliveira, I.G. The Influence of Pinning Centers in the Magnetization of the Mesoscopic Superconductors. J Supercond Nov Magn 31, 1287–1292 (2018). https://doi.org/10.1007/s10948-017-4315-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-017-4315-y

Keywords

Navigation