Skip to main content

The Josephson Current in an s-Wave Superconductor/Noncentrosymmetric Superconductor Junction

  • Conference paper
  • First Online:
Advances in Computational Science and Computing (ISCSC 2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 877))

Included in the following conference series:

  • 397 Accesses

Abstract

We study theoretically the Josephson current in an s-wave superconductor/noncentrosymmetric superconductor (SWSC/NCSC) junction. Based on the Bogoliubov-de Gennes equation and the quantum scattering method, we show that the Josephson current periodicity is \(\varvec{\pi }\) not \(\varvec{2\pi }\) when the NCSC has only a pure p-wave component, whereas when both the s-wave and p-wave components are considered together in the NCSC, the Josephson current periodicity recovers to be the usual one \(\varvec{2\pi }\). It is also shown that the coupling strength of the junction as well as the Rashba spin-orbit coupling in the NCSC can significantly affect the periodicity of the Josephson current and its phase dependence. Our findings are useful to discern the order parameter symmetry in the NCSC.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Golubov, A.A., Kupriyanov, M.Yu., Il’ichev, E.: The current-phase relation in Josephson junctions. Rev. Mod. Phys. 76, 411–469 (2004)

    Article  Google Scholar 

  2. Buzdin, A.I.: Proximity effects in superconductor-ferromagnet heterostructures. Rev. Mod. Phys. 77, 935–976 (2005)

    Article  Google Scholar 

  3. Bergeret, F.S., Volkov, A.F., Efetov, K.B.: Odd triplet superconductivity and related phenomena in superconductor-ferromagnet structures. Rev. Mod. Phys. 77, 1321–1373 (2005)

    Article  Google Scholar 

  4. Ioffe, L.B., Geshkenbein, V.B., Feigel’man, M.V., Fauchère, A.L., Blatter, G.: Environmentally decoupled sds-wave Josephson junctions for quantum computing. Nature (London) 398, 679–681 (1999)

    Article  Google Scholar 

  5. Blatter, G., Geshkenbein, V.B., Ioffe, L.B.: Design aspects of superconducting-phase quantum bits. Phys. Rev. B. 63, 174511 (2001)

    Article  Google Scholar 

  6. Barash, Y.S., Bobkova, I.V.: Interplay of spin-discriminated Andreev bound states forming the \(0-\pi \) transition in superconductor - ferromagnet - superconductor junctions. Phys. Rev. B. 65, 144502 (2002)

    Article  Google Scholar 

  7. Volkov, A.F., Anishchanka, A.: Alternative mechanism for the sign-reversal effect in superconductor-ferromagnet-superconductor Josephson junctions. Phys. Rev. B. 71, 024501 (2005)

    Article  Google Scholar 

  8. Ryazanov, V.V., Oboznov, V.A., Rusanov, A.Y., Veretennikov, A.V., Golubov, A.A., Aarts, J.: Coupling of two superconductors through a ferromagnet: evidence for a \(\pi \) junction. Phys. Rev. Lett. 86, 2427–2430 (2001)

    Article  Google Scholar 

  9. Kontos, T., Aprili, M., Lesueur, J., Genêt, F., Stephanidis, B., Boursier, R.: Josephson junction through a thin ferromagnetic layer: negative coupling. Phys. Rev. Lett. 89, 137007 (2002)

    Article  Google Scholar 

  10. Zdravkov, V., Sidorenko, A., Obermeier, G., Gsell, S., Schreck, M., Müller, C., et al.: Reentrant superconductivity in Nb/Cu\(_{1-x}\)Ni\(_x\) bilayers. Phys. Rev. Lett. 97, 057004 (2006)

    Article  Google Scholar 

  11. Pajović, Z., Božović, M., Radović, Z., Cayssol, J., Buzdin, A.: Josephson coupling through ferromagnetic heterojunctions with noncollinear magnetizations. Phys. Rev. B. 74, 184509 (2006)

    Article  Google Scholar 

  12. Wang, J., Chan, K.S.: Josephson current oscillation in a Rashba ring. J. Phys. Condens. Matter. 21, 245701 (2009)

    Article  Google Scholar 

  13. Bauer, E., Hilscher, G., Michor, H., Paul, C., Scheidt, E.W., Gribanov, A., et al.: Heavy fermion superconductivity and magnetic order in noncentrosymmetric CePt\(_{3}\)Si. Phys. Rev. Lett. 92, 027003 (2004)

    Article  Google Scholar 

  14. Akazawa, T., Hidaka, H., Fujiwara, T., Kobayashi, T.C., Yamamoto, E., Haga, Y.: Pressure-induced superconductivity in ferromagnetic UIr without inversion symmetry. J. Phys. Condens. Matter 16, L29 (2004)

    Article  Google Scholar 

  15. Yuan, H.Q., Agterberg, D.F., Hayashi, N., Badica, P., Vandervelde, D., Togano, K., et al.: S-wave spin-triplet order in superconductors without inversion symmetry: Li\(_{2}\)Pd\(_{3}\)B and Li\(_{2}\)Pt\(_{3}\)B. Phys. Rev. Lett. 97, 017006 (2006)

    Article  Google Scholar 

  16. Sergienko, I.A., Keppens, V., McGuire, M., Jin, R., He, J., Curnoe, S.H., et al.: Metallic ‘ferroelectricity’ in the pyrochlore Cd\(_{2}\)Re\(_{2}\)O\(_{7}\). Phys. Rev. Lett. 92, 065501 (2004)

    Article  Google Scholar 

  17. Yogi, M., Kitaoka, Y., Hashimoto, S., Yasuda, T., Settai, R., Matsuda, T.D., et al.: Evidence for a novel state of superconductivity in noncentrosymmetric CePt\(_{3}\)Si: a \(^{195}\)Pt-NMR study. Phys. Rev. Lett. 93, 027003 (2004)

    Article  Google Scholar 

  18. Gor’kov, L.P., Rashba, E.I.: Superconducting 2D system with lifted spin degeneracy: mixed singlet-triplet state. Phys. Rev. Lett. 87, 037004 (2001)

    Article  Google Scholar 

  19. Kimura, N., Ito, K., Saitoh, K., Umeda, Y., Aoki, H., Terashima, T.: Pressure-induced superconductivity in noncentrosymmetric heavy-fermion CeRhSi\(_{3}\). Phys. Rev. Lett. 95, 247004 (2005)

    Article  Google Scholar 

  20. Sugitani, I., Okuda, Y., Shishido, H., Yamada, T., Thamizhavel, A., Yamamoto, E., et al.: Pressure-induced heavy-fermion superconductivity in antiferromagnet CeIrSi\(_{3}\) without inversion symmetry. J. Phys. Soc. Jpn. 75, 043703 (2006)

    Article  Google Scholar 

  21. Zhang, H., Wang, J., Liu, J.F.: Anomalous Josephson effect in noncentrosymmetric superconductors. Appl. Phys. Lett. 108, 102601 (2016)

    Article  Google Scholar 

  22. Liu, J.F., Zhang, H., Wang, J.: Novel \(0-\pi \) transitions in Josephson junctions between noncentrosymmetric superconductors. Chin. Phys. B. 25, 097403 (2016)

    Article  Google Scholar 

  23. de Gennes, P.G.: Superconductivity of metals and alloys. Benjamin, New York (1966)

    MATH  Google Scholar 

  24. de Gennes, P.G., Saint-James, D.: Elementary excitations in the vicinity of a normal metal-superconducting metal contact. Phys. Lett. 4, 151–152 (1963)

    Article  Google Scholar 

  25. de Gennes, P.G.: Boundary effects in superconductors. Rev. Mod. Phys. 36, 225–237 (1964)

    Article  Google Scholar 

  26. Frigeri, P.A., Agterberg, D.F., Koga, A., Sigrist, M.: Superconductivity without inversion symmetry: MnSi versus CePt\(_3\)Si. Phys. Rev. Lett. 92, 097001 (2004)

    Article  Google Scholar 

  27. Furusaki, A., Tsukada, M.: Dc Josephson effect and Andreev reflection. Solid State Commun. 78, 299–302 (1991)

    Article  Google Scholar 

Download references

Acknowledgements

Supported by the Doctoral Scientific Research Startup Foundation of Jinling Institute of Technology (No. jit-b-201202) and Outstanding Young Backbone Teachers Program of Jinling Institute of Technology.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhuohui Yang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Yang, Z. (2019). The Josephson Current in an s-Wave Superconductor/Noncentrosymmetric Superconductor Junction. In: Xiong, N., Xiao, Z., Tong, Z., Du, J., Wang, L., Li, M. (eds) Advances in Computational Science and Computing. ISCSC 2018 2018. Advances in Intelligent Systems and Computing, vol 877. Springer, Cham. https://doi.org/10.1007/978-3-030-02116-0_38

Download citation

Publish with us

Policies and ethics