Skip to main content
SpringerLink
Log in

Properties of Vortex Configurations in Two-Band Mesoscopic Superconductors With Josphson Coupling: The Ginzburg–Landau Theory

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

Using a finite element method to numerically solve the time-dependent two-band Ginzburg–Landau model whereby setting the temperature T close to the critical temperature Tc, we studied the properties of vortex configurations of the mesoscopic two-band superconducting squares. Our analysis takes into account the relationship between the model parameters and microscopic material parameters. Especially, we analyze the effect of Fermi velocities on the vortex states in the mesoscopic two-band superconducting squares. From the simulation results, we observed four types of vortex regions in the magnetization curve for the systems, which could help to understand and detect the vortex states in mesoscopic two-band 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
Fig. 5

Similar content being viewed by others

References

  1. M.V. Milošević, A. Kanda, S. Hatsumi, F.M. Peeters, Y. Ootuka, Phys. Rev. Lett. 103, 217003 (2009)

    Article  ADS  Google Scholar 

  2. T. Cren, L. Serrier-Garcia, F. Debontridder, D. Roditchev, Phys. Rev. Lett. 107, 097202 (2011)

    Article  ADS  Google Scholar 

  3. L. Peng, J. Xu, C. Cai, Y. Zhu, L. Zhou, Y. Zhang, J. Low. Temp. Phys. 198, 90 (2020)

    Article  ADS  Google Scholar 

  4. C.A. Aguirre, H.B. Achic, J. Barba-Ortega, J. Low. Temp. Phys. 195, 124 (2019)

    Article  ADS  Google Scholar 

  5. A. S. Mel’nikov, I. M. Nefedov, D. A. Ryzhov, I. A. Shereshevskii, V. M. Vinokur, P. P. Vysheslavtsev, Phys. Rev. B 65, 140503 (2002).

  6. M.V. Milošević, W. Gillijns, A.V. Silhanek, A. Libál, V.V. Moshchalkov, F.M. Peeters, Appl. Phys. Lett. 96, 032503 (2010)

    Article  ADS  Google Scholar 

  7. G.R. Berdiyorov, M.V. Milošević, F.M. Peeters, Phys. Rev. B 80, 214509 (2009)

    Article  ADS  Google Scholar 

  8. G. Carapella, P. Sabatino, C. Barone, S. Pagano, M. Gombos, Sci. Rep. 6, 35694 (2016)

    Article  ADS  Google Scholar 

  9. P.C. Canfield, G.W. Crabtree, Phys. Today 56(3), 34 (2003)

    Article  Google Scholar 

  10. J. Paglione, R.L. Greene, Nat. Phys. 6, 645 (2010)

    Article  Google Scholar 

  11. Y. Lubashevsky, E. Lahoud, K. Chashka, D. Podolsky, A. Kanigel, Nat. Phys. 8, 309 (2012)

    Article  Google Scholar 

  12. M. Silaev, E. Babaev 84, 094515 (2011)

    Google Scholar 

  13. M. Silaev, E. Babaev 85, 134514 (2012)

    Google Scholar 

  14. R. M. da Silva, M. V. Milošević, D. Domínguez, F. M. Peeters and J. Albino Aguiar, Appl. Phys. Lett. 105, 232601 (2014).

  15. J. C. Piña, C. C. de Souza Silva, and M. V. Milošević, Phys. Rev. B 86, 024512 (2012).

  16. S.Z. Lin, L.N. Bulaevskii, Phys. Rev. Lett. 110, 087003 (2013)

    Article  ADS  Google Scholar 

  17. J. Garaud, J. Carlström, E. Babaev, Phys. Rev. Lett. 107, 197001 (2011)

    Article  ADS  Google Scholar 

  18. R. M. da Silva, M. V. Milošević, A. A. Shanenko, F. M. Peeters and J. Albino Aguiar, . Sci. Rep. 5, 12695 (2015).

  19. E. Babaev, M. Speight, Phys. Rev. B 72, 180502 (2005)

    Article  ADS  Google Scholar 

  20. V. Moshchalkov, M. Menghini, T. Nishio, Q.H. Chen, A.V. Silhanek, V.H. Dao, L.F. Chibotaru, N.D. Zhigadlo, J. Karpinski, Phys. Rev. Lett. 102, 117001 (2009)

    Article  ADS  Google Scholar 

  21. L.F. Chibotaru, V.H. Dao, Phys. Rev. B 81, 020502(R) (2010)

    Article  ADS  Google Scholar 

  22. R. Geurts, M.V. Milošević, F.M. Peeters, Phys. Rev. B 81, 214514 (2010)

    Article  ADS  Google Scholar 

  23. M.A. Silaev, Phys. Rev. B 83, 144519 (2011)

    Article  ADS  Google Scholar 

  24. T. Slawig, Numer. Algorithms 42, 107 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  25. T.S. Alstrøm, M.P. Sørensen, N.F. Pedersen, S. Madsen, Acta Appl. Math. 115, 63 (2011)

    Article  MathSciNet  Google Scholar 

  26. L. Peng, C. Cai, Y. Zhu, L. Sang, J. Low Temp. Phys. 186, 250 (2017)

    Article  Google Scholar 

Download references

Acknowledgements

This work is sponsored by the National Natural Science Foundation of China (61875119), Shanghai Rising-Star Program (Grant No. 19QA1404000), and the Natural Science Foundation of Shanghai (No. 17ZR1411400).

Author information

Authors and Affiliations

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

    Shunwei Yao, Lin Peng, Jia Lin & Jing Chen

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

    Chuanbing Cai

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

    Yun Zhou

Authors
  1. Shunwei Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lin Peng
    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. Chuanbing Cai
    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.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yao, S., Peng, L., Lin, J. et al. Properties of Vortex Configurations in Two-Band Mesoscopic Superconductors With Josphson Coupling: The Ginzburg–Landau Theory. J Low Temp Phys 202, 329–342 (2021). https://doi.org/10.1007/s10909-020-02551-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-020-02551-x

Keywords

PACS

Search

Navigation