Skip to main content
SpringerLink
Log in

Analysis of Josephson junction with topologically nontrivial barrier

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

Abstract

Josephson junction (JJ) with topologically nontrivial barrier is analytically and numerically analyzed in this paper. This system has four, two, or no equilibrium points depending on the external direct current (DC) source and the fractional parameter. The existence of pitchfork bifurcation is established during the stability analysis of the equilibrium points. The inclusion of fractional parameter in JJ leads to an increase in the hysteresis loop of current-voltage characteristics. For a suitable choice of modulation parameters of external current source, JJ with topologically nontrivial barrier can display excitable mode, bistable, periodic and chaotic behaviors.

Graphical abstract

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.

Similar content being viewed by others

References

  1. V. Serway,College Physics 2, 8th edn. (Brooks/Cole, Belmont, 2008)

  2. J.Q. You, F. Nori, Phys. Today 58, 42 (2005)

    Article  Google Scholar 

  3. J. Clarke, F. Wilhelm, Nature(London) 453, 1031 (2008)

    Article  ADS  Google Scholar 

  4. M. Machida, T. Koyama, Phys. Rev. B 70, 024523 (2004)

    Article  ADS  Google Scholar 

  5. M. Suzuki, M. Hayashi, H. Ebisawa, J. Phys. Chem. Solid 69, 3253 (2008)

    Article  ADS  Google Scholar 

  6. R.N. Chitra, V.C. Kuriakose, Chaos 18, 013125 (2008)

    Article  ADS  Google Scholar 

  7. E.N. Pozzo, D. Domínguez, Phys. Rev. Lett. 98, 057006 (2007)

    Article  ADS  Google Scholar 

  8. K. Likharev, Rev. Mod. Phys. 51, 201 (1986)

    Google Scholar 

  9. K. Likharev, Rev. Mod. Phys. 51, 101 (1979)

    Article  ADS  Google Scholar 

  10. E. Demler, A.J. Berlinsky, C. Kallin, G.B. Arnold, M.R. Beasle, Phys. Rev. Lett. 80, 2917 (1998)

    Article  ADS  Google Scholar 

  11. E. Il’ichev, M. Grajcar, R. Hlubina, R.P.J. IJsselsteijn, H.E. Hoenig, H.-G. Meyer, A. Golubov, M.H.S. Amin, A.M. Zagoskin, A.N. Omelyanchouk et al., Phys. Rev. Lett. 86, 5369 (2001)

    Article  ADS  Google Scholar 

  12. G. Testa, E. Sarnelli, A. Monaco, E. Esposito, M. Ejrnaes, D.-J. Kang, S.H. Mennema, E.J. Tarte, M.G. Blamire, Phys. Rev. B 71, 7 (2005)

    Article  Google Scholar 

  13. M. Canturk, I. Askerzade, IEEE Trans. Appl. Supercond. 22, 1400106 (2012)

    Article  ADS  Google Scholar 

  14. M. Canturk, I. Askerzade, IEEE Trans. Appl. Supercond. 21, 3541 (2011)

    Article  ADS  Google Scholar 

  15. M. Canturk, I. Askerzade, J. Supercond, Novel Magn. 26, 839 (2013)

    Article  Google Scholar 

  16. Yu.S. Barash, JETP Lett. 100, 205 (2014)

    Article  Google Scholar 

  17. S.T. Kingni, G.F. Kuiate, V. Kamdoum Tamba, A.V. Monwanou, J. Bio Chabi, J. Supercond. Novel Magn. 32, 2295 (2019)

    Article  Google Scholar 

  18. L. Fu, C.L. Kane, Phys. Rev. Lett. 100, 096407 (2008)

    Article  ADS  Google Scholar 

  19. Y. Tanaka, T. Yokoyama, N. Nagaosa, Phys. Rev. Lett. 103, 107002 (2009)

    Article  ADS  Google Scholar 

  20. M. Veldhorst, C.G. Molenaar, C.J.M. Verwijs, H. Hilgenkamp, A. Brinkman, Phys. Rev. B 86, 024509 (2012)

    Article  ADS  Google Scholar 

  21. I.R. Rahmonov, Yu.M. Shukrinov, R. Dawood, H. El Samman, Low Temp. Phys. 43, 824 (2017)

    Article  ADS  Google Scholar 

  22. F. Dominguez, F. Hassler, G. Platero, Phys. Rev. B. 86, 150503 (2012)

    Article  Google Scholar 

  23. M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)

    Article  ADS  Google Scholar 

  24. L. Fu, C.L. Kane, Phys. Rev. B 79, 161408(R) (2009)

    Article  ADS  Google Scholar 

  25. G. Wendin, Rep. Prog. Phys. 80, 106001 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  26. M. Maiti, K.V. Kulikov, K. Sengupta, Yu.M. Shukrinov, Phys. Rev. B. 92, 224501 (2015)

    Article  ADS  Google Scholar 

  27. F. Domínguez, O. Kashuba, E. Bocquillon, J. Wiedenmann, R.S. Deacon, T.M. Klapwijk, G. Platero, L.W. Molenkamp, B. Trauzettel, E.M. Hankiewicz, Phys. Rev. B. 95, 195430 (2017)

    Article  ADS  Google Scholar 

  28. I.N. Askerzade, J. Supercond. Novel Magn. 32, 3149 (2019)

    Article  Google Scholar 

  29. K. Likharev,Introduction into dynamics of Josephson junctions and circuits (Gordon Breach, New York, 1986)

  30. I.N. Askerzade, A. Bozbey, M. Canturk,Modern aspects of Josephson dynamics and superconductivity electronics (Springer, Berlin, 2017)

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Sifeu Takougang Kingni

  2. Research Unit of Automation and Applied Computer, Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon

    André Cheukem

  3. Department of Basic Science, School of Geology and Mining Engineering, University of Ngaoundere, P.O. Box 115, Meiganga, Cameroon

    André Cheage Chamgoué

  4. Institute of Fisheries and Aquatic Sciences at Yabassi, University of Douala, Box 2701, Douala, Cameroon

    Fulbert Togue Kamga

Authors
  1. Sifeu Takougang Kingni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. André Cheukem
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. André Cheage Chamgoué
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Fulbert Togue Kamga
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sifeu Takougang Kingni.

Additional information

Publisher’s Note

The EPJ Publishers remain 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

Kingni, S.T., Cheukem, A., Chamgoué, A.C. et al. Analysis of Josephson junction with topologically nontrivial barrier. Eur. Phys. J. B 93, 143 (2020). https://doi.org/10.1140/epjb/e2020-10125-3

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2020-10125-3

Keywords

Search

Navigation