Skip to main content
Log in

Static and dynamic behaviours of multivortex states in a superconducting sample with mesoscopic pinning sites

  • Regular Article
  • Computational Methods
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

This preliminary work has focused on the static transitions between the multivortex states interacting with square arrays of the mesoscopic pinning sites in superconducting samples. Our results were obtained from an extensive series of numerical simulations as functions of the magnetic field, pinning radius, and sample size. We have presented a wide range of multivortex configurations from commensurate dimer states to more concentric vortex shells at the matching fields. The stability of these states was also studied by means of the current-voltage V(I) curves which illustrate dynamic phase transitions as a function of applied driving force. These transitions manifested themselves as either a sudden jump in velocity or a nonlinear increase with velocity fluctuations in V(I) curves. We have investigated whether that the phase transitions between the pinned regime and the elastic flow regime are indicative of the stability of the initial vortex states. The variety of intermediate flow phases is attributed to large pinning size (reentrant behavior), strong commensurability and caging effects. In particular, three-shell vortex structures were obtained in the presence of larger pinning sites at adequate matching magnetic fields.

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.

Similar content being viewed by others

References

  1. W. Henderson, E.Y. Andrei, Phys. Rev. Lett. 81, 2352 (1998)

    Article  ADS  Google Scholar 

  2. C.J. Olson, C. Reichhardt, S. Bhattacharya, Phys. Rev. B 64, 024518 (2001)

    Article  ADS  Google Scholar 

  3. M.C. Faleski, M.C. Marchetti, A.A. Middleton, Phys. Rev. B 54, 12427 (1996)

    Article  ADS  Google Scholar 

  4. Z.L. Xiao, E.Y. Andrei, M.J. Higgins, Phys. Rev. Lett. 83, (1999) 1664

    Google Scholar 

  5. K. Kilic, A. Kilic, H. Yetis, O. Cetin, Phys. Rev. B 68, 144513 (2003)

    Article  ADS  Google Scholar 

  6. S. Bhattacharya, M.J. Higgins, Phys. Rev. Lett. 70, 2617 (1993)

    Article  ADS  Google Scholar 

  7. J. Gutierrez, A.V. Silhanek, J. Van de Vondel, W. Gillijns, V.V. Moshchalkov, Phys. Rev. B 80, R140514 (2009)

    Article  ADS  Google Scholar 

  8. C. Reichhardt, G.T. Zimínyi, Phys. Rev. B 61, 14354 (2000)

    Article  ADS  Google Scholar 

  9. M. Benkraouda, I.M. Obaidat, U.A. Khawaja, Physica C 433, 205 (2006)

    Article  ADS  Google Scholar 

  10. Y. Cao, Z. Jiao, Physica C 321, 177 (1999)

    Article  ADS  Google Scholar 

  11. C.J. Olson, C. Reichhardt, B. Jankó, F. Nori, Phys. Rev. Lett. 87, 177002 (2001)

    Article  ADS  Google Scholar 

  12. C.J. Olson, C. Reichhardt, Phys. Rev. B 61, R3811 (2000)

    Article  ADS  Google Scholar 

  13. H. Fangohr, S.J. Cox, P.A.J. de Groot, Phys. Rev. B 64, 064505 (2001)

    Article  ADS  Google Scholar 

  14. T. Matsuda, K. Harada, H. Kasai, O. Kamimura, A. Tonomura, Science 271, 1393 (1996)

    Article  ADS  Google Scholar 

  15. K. Harada, O. Kamimura, H. Kasai, T. Matsuda, A. Tonomura, V.V. Moshchalkov, Science 274, 1167 (1996)

    Article  ADS  Google Scholar 

  16. I.V. Grigorieva, W. Escoffier, J. Richardson, L.Y. Vinnikov, S. Dubonos, V. Oboznov, Phys. Rev. Lett. 96, 077005 (2006)

    Article  ADS  Google Scholar 

  17. I.V. Grigorieva, W. Escoffier, V.R. Misko, B.J. Baelus, F.M. Peeters, L.Y. Vinnikov, S.V. Dubonos, Phys. Rev. Lett. 99, 147003 (2006)

    Article  ADS  Google Scholar 

  18. G.S. Mkrtchyan, V.V. Schmidt, Sov. Phys. JETP 34, 195 (1972)

    ADS  Google Scholar 

  19. M.M. Doria, S.C.B. de Andrade, E. Sardella, Physica C 341, 1199 (2000)

    Article  Google Scholar 

  20. H. Nordborg, V.M. Vinokur, Phys. Rev. B 62, (2000) 12408.

    Google Scholar 

  21. A. Tonomura, H. Kasai, O. Kamimura, T. Matsuda, K. Harada, Y. Nakayama, J. Shimoyama, K. Kishio, T. Hanaguri, K. Kitazawa, M. Sasase, S. Okayasu, Physica C 369, 68 (2002)

    Article  ADS  Google Scholar 

  22. A. Kilic, K. Kilic, H. Yetis, M. Olutas, A. Altinkok, H. Sozeri, O. Cetin, Eur. Phys. J. B 50, 565 (2006)

    Article  ADS  Google Scholar 

  23. A.V. Silhanek, S. Raedts, M.J. Van Bael, V.V. Moshchalkov, Phys. Rev. B 70, 054515 (2004)

    Article  ADS  Google Scholar 

  24. Y.E. Lozovik, L.M. Pomirchy, Phys. Status Solidi B 161, K11 (1990)

    Article  ADS  Google Scholar 

  25. V.M. Bedanov, F.M. Peeters, Phys. Rev. B 49, 2667 (1994)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. V.R. Misko, B. Xu, F.M. Peeters, Physica C 468, 726 (2008)

    Article  ADS  Google Scholar 

  28. V.R. Misko, H.J. Zhao, F.M. Peeters, V. Oboznov, S.V. Dubonos, I.V. Grigorieva, Supercond. Sci. Technol. 22, 034001 (2009)

    Article  ADS  Google Scholar 

  29. H. Yetis, Physica C 470, 15 (2010)

    Article  ADS  Google Scholar 

  30. G. Karapetrov, J. Fedor, M. Iavarone, D. Rosenmann, W.K. Kwok, Phys. Rev. Lett. 95, 167002 (2005)

    Article  ADS  Google Scholar 

  31. L. Horng, T.J. Yang, R. Cao, T.C. Wu, J.C. Lin, J.C. Wu, J. Appl. Phys. 103, 07C706 (2008)

  32. A. Kanda, B.J. Baelus, F.M. Peeters, K. Kadowaki, Y. Ootuka, Phys. Rev. Lett. 93, 257002 (2004)

    Article  ADS  Google Scholar 

  33. G.R. Berdiyorov, V.R. Misko, M.V. Miloševic, W. Escoffier, I.V. Grigorieva, F.M. Peeters, Phys. Rev. B 77, 024526 (2008)

    Article  ADS  Google Scholar 

  34. B.J. Baelus, L.R.E. Cabral, F.M. Peeters, Phys. Rev. B 69, 064506 (2004)

    Article  ADS  Google Scholar 

  35. C. Reichhardt, N.G. Jensen, Phys. Rev. Lett. 85, 2372 (2000)

    Article  ADS  Google Scholar 

  36. R. Cao, L. Horng, T.C. Wu, J.C. Lin, J.C. Wu, T.J. Yang, J. Koláček, J. Appl. Phys. 109, 083920 (2011)

    Article  ADS  Google Scholar 

  37. L.R.E. Cabral, B.J. Baelus, F.M. Peeters, Phys. Rev. B 70, 144523 (2004)

    Article  ADS  Google Scholar 

  38. E. Sardella, R.A. Freire, P.N. Lisboa-Filho, Physica C 421, 41 (2005)

    Article  ADS  Google Scholar 

  39. A. Brass, H.J. Jensen, Phys. Rev. B 39, 9587 (1989)

    Article  ADS  Google Scholar 

  40. J. Dong, J. Phys: Condens. Matter 5, 3359 (1993)

    Article  ADS  Google Scholar 

  41. C. Reichhardt, C.J. Olson, F. Nori, Phys. Rev. Lett. 78, 2648 (1997)

    Article  ADS  Google Scholar 

  42. C. Reichhardt, C.J. Olson Reichhardt, Phys. Rev. B 79, 134501 (2009)

    Article  ADS  Google Scholar 

  43. C. Reichhardt, C.J. Olson, Phys. Rev. Lett. 88, 248301 (2002)

    Article  ADS  Google Scholar 

  44. M. Brunner, C. Bechinger, Phys. Rev. Lett. 88, 248302 (2002)

    Article  ADS  Google Scholar 

  45. R. Agra, F. van Wijland, E. Trizac, Phys. Rev. Lett. 93, 018304 (2004)

    Article  ADS  Google Scholar 

  46. A. Bezryadin, Y.N. Ovchinnikov, B. Pannetier, Phys. Rev. B 53, 8553 (1996)

    Article  ADS  Google Scholar 

  47. G.R. Berdiyorov, M.V. Miloševic, F.M. Peeters, Phys. Rev. B 74, 174512 (2006)

    Article  ADS  Google Scholar 

  48. A.D. Thakur, S. Ooi, S.P. Chockalingam, J. Jesudasan, P. Raychaudhuri, K. Hirata, Physica C 470, 1112 (2010)

    Article  ADS  Google Scholar 

  49. G.R. Berdiyorov, M.V. Miloševic, F.M. Peeters, New J. Phys. 11, 013025 (2009)

    Article  ADS  Google Scholar 

  50. G.R. Berdiyorov, M.V. Miloševic, F.M. Peeters, Phys. Rev. Lett. 96, 207001 (2006)

    Article  ADS  Google Scholar 

  51. N.S. Lin, V.R. Misko, F.M. Peeters, Phys. Rev. B 81, 134504 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Yetis.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yetis, H. Static and dynamic behaviours of multivortex states in a superconducting sample with mesoscopic pinning sites. Eur. Phys. J. B 83, 93 (2011). https://doi.org/10.1140/epjb/e2011-20290-y

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2011-20290-y

Keywords

Navigation