Skip to main content
Log in

Quasi-particle description of cross-over effects in two-band superconductors

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The possibility of singlet-like superconductivity in a hybridized two-band system is investigated. We reformulate the problem in terms of quasi-particle states originating from narrowf-like band and conduction band states. An effective BCS-like Hamiltonian for heavy and light quasi-particles is derived. The stability of these two types of Cooper pairs is studied by using the occupation number of heavy particles as an input parameter. Our results provide strong support for the assumption that in this kind of two-band system a cross-over effect can be observed. For large enough values of the input parameter superconductivity is mainly supported by heavy quasi-particles. By reducing the occupation number superconductivity is taken over by the light quasi-particles. The relevance of the results for heavy-fermion superconductors is discussed.

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

Access this article

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. For the sake of brevity we here refer only to the recent review article of Stewart, G.R.: Rev. Mod. Phys.56, 755 (1984)

    Google Scholar 

  2. Varma, C.M.: Bull. Am. Phys. Soc.29, 857 (1984);30, 457 (1985)

    Google Scholar 

  3. Anderson, P.W.: Phys. Rev. B30, 1549 (1984)

    Google Scholar 

  4. Valls O.T., Tsesenovi, Z.: Phys. Rev. Lett.53, 1497 (1984)

    Google Scholar 

  5. Li, Y.M.: Phys. Lett. A112, 69 (1985)

    Google Scholar 

  6. Miyake, K., Matsuura, T., Jichu, H., Nagaoka, Y.: Prog. Theor. Phys.72, 1063 (1984)

    Google Scholar 

  7. Ohkawa, F.J.: J. Phys. Soc. Jpn.53, 3577 (1984)

    Google Scholar 

  8. Hirsch, J.E.: Phys. Rev. Lett.54, 1317 (1985)

    Google Scholar 

  9. Steglich, F., Rauchschwalbe, U., Gottwick, U., Mayer, H.M., Sparn, G., Grewe, N., Poppe, U., Franse, J.J.M.: Preprint

  10. Allen, J.W., Martin, R.M.: Phys. Rev. Lett.49, 1106 (1982)

    Google Scholar 

  11. Razafimandimby, H., Fulde, P., Keller, J.: Z. Phys. B-Condensed Matter54, 111 (1984)

    Google Scholar 

  12. Grewe, N.: Z. Phys. B-Condensed Matter56, 111 (1984)

    Google Scholar 

  13. Tachiki, M., Maekawa, S.: Phys. Rev. B29, 2497 (1984); Tachiki, M., Maekawa, S., Takahashi, S.: Phys. Rev. B31, 228 (1985)

    Google Scholar 

  14. Simanek, E.: Phys. Rev. B31, 3172 (1985)

    Google Scholar 

  15. Valadares, E.C., Troper, A., Menezes, O.L.T.de: J. Magn. Magn. Mater.47, 400 (1985)

    Google Scholar 

  16. Menezes, O.L.T.de: Solid State Commun.57, 825 (1986)

    Google Scholar 

  17. Schuh, B.: Phys. Status Solidi (b)131, 243 (1985)

    Google Scholar 

  18. Riseborough, P.S.: Solid State Commun.55, 755 (1985)

    Google Scholar 

  19. Entel, P., Zieliński, J., Matschke, M.: Z. Phys. B-Condensed Matter60, 283 (1985)

    Google Scholar 

  20. Yamada, K.: Prog. Theor. Phys.53, 970 (1975)

    Google Scholar 

  21. Zieliński, J.: Z. Phys. B-Condensed Matter64, 429 (1986)

    Google Scholar 

  22. Grewe, N., Entel, P., Leder, H.J.: Z. Phys. B-Condensed Matter30, 393 (1978)

    Google Scholar 

  23. Fedro A.J., Sinha, S.K.: In: Valence instabilities. Wachter, P., Boppart, H. (eds.), p. 371. Amsterdam, Oxford, New York: North Holland Publ. Comp. 1982

    Google Scholar 

  24. Entel, P., Leder, H.I., Grewe, N.: Z. Phys. B-Condensed Matter30, 277 (1978)

    Google Scholar 

  25. Wiethege, W., Entel, P., Mühlschlegel, B.: Z. Phys. B-Condensed Matter47, 35 (1982)

    Google Scholar 

  26. Fetter, A.L., Walecka, J.D.: Quantum theory of many particle systems. McGraw-Hill 1971

  27. Grewe, N., Keiter, H.: Phys. Rev. B24, 4420 (1981); Grewe, N.: Solid State Commun.50, 19 (1984)

    Google Scholar 

  28. Entel, P., Matschke, M.: Preprint

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported by PAN, CPBP, 01.12

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zieliński, J., Entel, P. & Pietruszka, M. Quasi-particle description of cross-over effects in two-band superconductors. Z. Physik B - Condensed Matter 66, 161–166 (1987). https://doi.org/10.1007/BF01311651

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01311651

Keywords

Navigation