Skip to main content
SpringerLink
Log in

Vortex States of a Three-Dimensional Mesoscopic Superconducting Torus in an External Magnetic Field

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

Abstract

The time-dependent Ginzburg–Landau equations have been solved numerically by the finite-element method for a three-dimensional mesoscopic superconducting torus. We obtain the different vortex patterns as a function of the applied field perpendicular to its surface. And we find that multivortex states are ground state in a three-dimensional mesoscopic torus. These results show that our approach is effective and useful to interpret experimental data on vortex states in mesoscopic superconductors.

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

Access this article

Log in via an institution

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

Similar content being viewed by others

References

  1. Zha, G.Q., Zhou, S.P., Zhu, B.H., Shi, Y.M., Zhao, H.W.: Phys. Rev. B 74, 024527 (2006)

    Article  ADS  Google Scholar 

  2. Zhao, H.W., Zha, G.Q., Zhou, S.P., Peeters, F.M.: Phys. Rev. B 78, 064505 (2008)

    Article  ADS  Google Scholar 

  3. Zhao, H.W., Zha, G.Q., Zhou, S.P.: New J. Phys. 10, 043047 (2008)

    Article  Google Scholar 

  4. Geim, A.K., Dubonos, S.V., Palacios, J.J., Grigorieva, I.V., Henini, M., Schermer, J.J.: Phys. Rev. Lett. 85, 1528 (2000)

    Article  ADS  Google Scholar 

  5. Baelus, B.J., Peeters, F.M.: Phys. Rev. B 65, 104515 (2002)

    Article  ADS  Google Scholar 

  6. Zhao, H.J., Misko, V.R., Peeters, F.M., Oboznov, V., Dubonos, S.V., Grigorieva, I.V.: Phys. Rev. B 78, 104517 (2008)

    Article  ADS  Google Scholar 

  7. Vodolazov, D.Y., Peeters, F.M., Dubonos, S.V., KGeim, A.: Phys. Rev. B 67, 054506 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. Peng, L., Lin, J., Zhou, Y., Zhang, Y.: J. Supercond. Nov. Magn. doi:10.1007/s10948-015-3219-y

  10. Peng, L., Wei, Z.J., Liu, Y.S., Fang, Y.F., Cai, C.B.: J. Superconduct. Novel Magn. 27, 1217 (2014)

    Article  Google Scholar 

  11. Bezryadin, A., Ovchinnikov, Yu.N., Pannetier, B.: Phys. Rev. B 53, 8553 (1996)

    Article  ADS  Google Scholar 

  12. Geurts, R., Milošević, M.V., Albino Aguiar, J., Peeters, F.M.: Phys. Rev. B 87, 024501 (2013)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. Moshchalkov, V.V., Qiu, X.G., Bruyndoncx, V.: Phys. Rev. B 55, 11793 (1997)

    Article  ADS  Google Scholar 

  15. Schweigert, V.A., Peeters, F.M.: Physica (Amsterdam) 332C, 266 (2000)

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. Geurts, R., Milošević, M.V., Peeters, F.M.: Phys. Rev. Lett. 97, 137002 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. Geim, A.K., Dubonos, S.V., Lok, J.G., Maan, J.C.: Nature (London) 396, 144 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. Doria, M.M., Gubernatis, J.E., Rainer, D.: Phys. Rev. B 41, 6335 (1990)

    Article  ADS  Google Scholar 

  22. Enomoto, Y., Kato, R., Katsumi, K., Maekawa, S.: Phys. C 192, 166 (1992)

    Article  ADS  Google Scholar 

  23. Baelus, B.J., Peeters, F.M., Schweigert, V.A.: Phys. Rev. B 61, 9734 (2000)

    Article  ADS  Google Scholar 

  24. Gao, H., Sun, W.: J. Comput. Phys. 294, 329 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  25. Doria, M.M., de C Romaguera, A.R., Peeters, F.M.: Phys. Rev. B 75, 064505 (2007)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is sponsored by the Science and Technology Commission of Shanghai Municipality (14521102800), the National Natural Science Foundation of China (51202141), the Opening Project of Shanghai Key Laboratory of High Temperature Superconductors (14DZ2260700), the Natural Science Foundation of Shanghai (No. 13ZR1417600), and the Innovation Program of Shanghai Municipal Education Commission (No. 14YZ132).

Author information

Authors and Affiliations

  1. Department of Physics, Shanghai University of Electric Power, Shanghai, 201300, China

    Lin Peng, Jia Lin, Jing Chen & Yongsheng Liu

  2. College of Sciences, Tongji University, Shanghai, 200092, China

    Lin Peng

  3. Shanghai Key Laboratory for High Temperature Superconductors and Department of Physics, Shanghai University, Shanghai, 200444, China

    Chuanbing Cai

  4. Department of Physics, China Jiliang University, Hangzhou, 310018, China

    Yun Zhou

Authors
  1. Lin Peng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chuanbing Cai
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jia Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jing Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yongsheng Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Yun Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lin Peng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Peng, L., Cai, C., Lin, J. et al. Vortex States of a Three-Dimensional Mesoscopic Superconducting Torus in an External Magnetic Field. J Supercond Nov Magn 29, 1197–1201 (2016). https://doi.org/10.1007/s10948-016-3420-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-016-3420-7

Keywords

Search

Navigation