Skip to main content
SpringerLink
Log in

Vortex Matter in a Two-Band SQUID-Shaped Superconducting film

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

Abstract

In the present work, we studied the magnetization, vorticity, Cooper pairs density, and the spatial distribution of the local magnetic field in a three-dimensional superconductor with a SQUID geometry (a square with a central hole connected to the outside vacuum through a very thin slit). Our investigation was carried out in both the Meissner-Ochsenfeld and the Abrikosov state solving the two-band Ginzburg-Landau equations considering a Josephson coupling between the bands. We found a non-monotonic vortex behavior and the respective generation of vortex clusters due to the Josephson coupling used between condensates.

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
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. B.J. Baelus, K. Kadowaki, F.M. Peeters, Phys. Rev. B 71, 024514 (2005)

    Article  ADS  Google Scholar 

  2. G.J. Kimmel, A. Glatz, V.M. Vinokur, I.A. Sadovskyy, Sci. Reports 9, 1 (2019)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  4. P.G. de Gennes, Superconductivity in Metals and Alloys (Addison-Wesley, Reading, MA, 1989)

    MATH  Google Scholar 

  5. E. Fillis-Tsirakis, Dissertation at the University of Stuttgart, Max-Planck-Institute for Solid State Research, (2017)

  6. J. Clarke, Squid Fundamentals. In: Weinstock H. (eds) SQUID Sensors: Fundamentals, Fabrication and Applications. NATO ASI Series (Series E: Applied Sciences), 329, Springer, Dordrecht (1996)

  7. J. Nagamatsu, N. Nakagawa, T. Muranaka, Y. Zenitani, J. Akimitsu, Nature 410, 63 (2001)

    Article  ADS  Google Scholar 

  8. J.R. Kirtley, J.P. Wikswo Jr., Annu. Rev. Mater. Sci. 29, 117 (1999)

    Article  ADS  Google Scholar 

  9. R. Jaklevic, J. Lambe, A. Silver, J. Mercereau, Phys. Rev. Lett. 12, 159 (1964)

    Article  ADS  Google Scholar 

  10. J.E. Zimmerman, A. Silver, Phys. Rev. 141, 367 (1966)

    Article  ADS  Google Scholar 

  11. R. Jaklevic, J. Lambe, J. Mercereau, A. Silver, Phys. Rev. 140, A1628 (1965)

    Article  ADS  Google Scholar 

  12. A.P. Malozemoff, J. Mannhart, D. Scalapino, Phys. Today 58, 41 (2005)

    Article  Google Scholar 

  13. X. Zhang, G. Zhang, L. Ying, W. Xiong, H. Han, Y. Wang, L. Rong, X. Xie, Z. Wang, Phys. C: Supercond. Appl. 548, 1 (2018)

    Article  ADS  Google Scholar 

  14. N.-H. Kim, H.-S. Kim, Y. Yang, X. Peng, D. Yu, Y.-J.Doh, arXiv preprint arXiv:1801.07855 (2018)

  15. C. Tsuei, J. Kirtley, M. Rupp, J. Sun, A. Gupta, M. Ketchen, C. Wang, Z. Ren, J. Wang, M. Bhushan, in APS March Meeting Abstracts, (11996)

  16. J. Kirtley, C. Tsuei, H. Raffy, Z. Li, A. Gupta, J. Sun, S. Megtert, EPL (Europhysics Letters) 36, 707 (1996)

    Article  ADS  Google Scholar 

  17. C. Tsuei, J.R. Kirtley, G. Hammerl, J. Mannhart, H. Raffy, Z. Li, Phys. Rev. Lett. 93, 187004 (2004)

    Article  ADS  Google Scholar 

  18. C. Tsuei, J. Kirtley, Phys. Rev. Lett. 85, 182 (2000)

    Article  ADS  Google Scholar 

  19. F. Rogeri, R. Zadorosny, P.N. Lisboa-Filho, E. Sardella, W. Ortiz, Supercond. Sci. Technol. 26, 075005 (2013)

    Article  ADS  Google Scholar 

  20. Ernst Helmut Brandt, Phys. Rev. B 72, 024529 (2005)

    Article  ADS  Google Scholar 

  21. Ernst Helmut Brandt, Phys. C: Supercond. Appl. 327, 460 (2007)

    Google Scholar 

  22. R. John, Clem and Ernst Helmut Brandt. Phys. Rev. B 72, 174511 (2005)

    Article  Google Scholar 

  23. J. Barba-Ortega, J.L. Aguilar, J.D. González, Mod. Phys. Lett. B 28(29), 1450230 (2014)

    Article  ADS  Google Scholar 

  24. H. J. M. ter Brake, F.-Im. Buchholz G. Burnell, T. Claeson, D. Crété, P. Febvre, G. J. Gerritsma, H. Hilgenkamp, R. Humphreys, Z. Ivanov, W. Jutzi, M. I. Khabipov, J. Mannhart, H.-G. Meyer, J. Niemeyer, A. Ravex, H. Rogalla, M. Russo, J. Satchell, M. Siegel, H. Töpfer, F. H. Uhlmann, J.-C. Villögier, E. Wikborg, D. Winkler, A. B. Zorina, Phys. C: Supercond. Appl., 439, 1 (2006)

  25. T. Noh, A. Kindseth, V. Chandrasekhar, Appl. Phys. Express 14, 103001 (2021)

    Article  Google Scholar 

  26. Michiyasu Mori, Sadamichi Maekawa, Phys. Rev. B 104, 064503 (2021)

    Article  Google Scholar 

  27. C. Aguirre, A. de Arruda, J. Faundez, J. Barba-Ortega, Phys. B: Condens. Matter 615, 413032 (2021)

    Article  Google Scholar 

  28. J. Carlström, E. Babaev, M. Speight, Phys. Rev. B 83, 174509 (2011)

    Article  ADS  Google Scholar 

  29. M. Silaev, E. Babaev, Phys. Rev. B 85, 134514 (2012)

    Article  ADS  Google Scholar 

  30. E. Babaev, J. Carlström, M. Speight, Phys. Rev. Lett. 105, 067003 (2010)

    Article  ADS  Google Scholar 

  31. J. Barba-Ortega, E. Sardella, J.A. Aguiar, Phys. Lett. A. 379, 732 (2015)

    Article  Google Scholar 

  32. L. Komendova, M.V. Milosevic, A.A. Shanenko, F.M. Peeters, Phys. Rev. B 84, 064522 (2011)

    Article  ADS  Google Scholar 

  33. Yuriy Yerin, Stefan-Ludwig Drechsler, Phase solitons in a weakly coupled three-component superconductor, arxiv.org/abs/2103.17000

  34. V.R. Misko, V.M. Fomin, J.T. Devreese, V.V. Moshchalkov, Phys. Rev. Lett. 90, 147003 (2003)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  36. C. Aguirre, E. Sardella, J. Barba-Ortega, Solid. State. Comm. 306, 113799 (2020)

    Article  Google Scholar 

  37. T. Nunes, C. Aguirre, A. de Arruda, J. Barba, Eur. Phys. J. B 93, 69 (2020)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

Acknowledgements

C. A. Aguirre, would like to thank the Brazilian agency CAPES, for financial support, Grant number: 0.89.229.701-89. J. Faúndez and S. G. Magalhães thank FAPERGS, CAPES and CNPq for partially financing this work under the Grant PRONEX 16/0490-0.

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal de Mato-Grosso, Cuiabá, Brasil

    C. A. Aguirre

  2. Condensed Matter Physics Group, Instituto de Fisica, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, 91501-970, Brazil

    C. A. Aguirre, Julián Faúndez & S. G. Magalhães

  3. Departamento de Física, Universidad Nacional de Colombia, Bogotá, Colombia

    J. Barba-Ortega

  4. Foundation of Researchers in Science and Technology of Materials, Bucaramanga, Colombia

    J. Barba-Ortega

Authors
  1. C. A. Aguirre
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Julián Faúndez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. G. Magalhães
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. Barba-Ortega
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. A. Aguirre.

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

Aguirre, C.A., Faúndez, J., Magalhães, S.G. et al. Vortex Matter in a Two-Band SQUID-Shaped Superconducting film. J Low Temp Phys 207, 85–96 (2022). https://doi.org/10.1007/s10909-022-02701-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-022-02701-3

Keywords

Search

Navigation