Skip to main content
Log in

Superconducting pairing in the singlet band of the Emery model

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The pairing due to electron-phonon and exchange interaction in the two-band Emery model is considered. The Emery model is reduced to an effective singlet-triplet problem. The Eliashberg-equations are formulated in terms of Hubbard operators for the singlet band. The dependence of the critical temperatureT c on the number of holesn in the doped CuO2 plane has been calculated. The electron-phonon coupling gives rise to s-wave pairing with a maximum inT c atn≅1.2. It corresponds to a maximum in the density of states for a doping value ofn=1.24. The anisotropic electron-electron coupling due to the exchange interaction produces extended s-wave pairing with a maximum atn≅1.05 and d-wave pairing with a maximum atn≅1.2.

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. Bar-Yam, Y., Egami, T., Mustre-de Leon, J. Bishop, A.R. (eds.). Proceedings of the conference “Lattice efffects in high-T c Superconductors”, Santa Fe 1992. Singapore: World Scientific 1992

    Google Scholar 

  2. Krakauer, H., Pickett, W.E., Cohen, R.E.: Phys. Rev. B47, 1002 (1993)

    Google Scholar 

  3. Mazin, I.I., Andersen, O.K., Liechtenstein, A.I. et al.: —see [1] p. 235

    Google Scholar 

  4. Schrieffer, J.R., Wen, X.-G., Zhang, S.C.: Phys. Rev. B39, 11663 (1989); Kampf, A., Schrieffer, J.R.: Phys. Rev. B41, 6399 (1989)

    Google Scholar 

  5. Monthoux, P., Balatsky, A.V., Pines, D.: Phys. Rev. Lett.67, 3448 (1991); Monthoux, P., Pines, D.: Phys. Rev. Lett.69, 961 (1992)

    Google Scholar 

  6. Moria, T., Takahashi, Y., Ueda, K.: J. Phys. Soc. Jpn.59, 2905 (1990)

    Google Scholar 

  7. Emery, V.J.: Phys. Rev. Lett.58, 2795 (1987)

    Google Scholar 

  8. Chan Minh-Tien, Plakida, N.M.: Physica C206, 90 (1993)

    Google Scholar 

  9. Ju, H. Kim, Levin, K., Wentzcovitch, R., Auerbach, A.: Phys. Rev. B44, 5148 (1991)

    Google Scholar 

  10. Zhang, F.C., Rice, T.M.: Phys. Rev. B37, 3759 (1988)

    Google Scholar 

  11. Horsch, P., Stephan, W.: Dynamics of magnetic fluctuations in high temperature superconductors. Proceedings of the NATO Advanced Research Workshop, Reiter, G., Horsch, P., Psaltakis, G. (eds.). New York: Plenum Press, 1991

    Google Scholar 

  12. Eskes H., Tjeng, L.H., Sawatzky, G.A.: Phys. Rev. B41, 288 (1990); Eskes, H., Sawatzky, G.A., Feiner, L.F.: Physica C160, 424 (1989); Eskes, H., Sawatzky, G.A.: Phys. Rev. B43, 119 (1991)

    Google Scholar 

  13. Tohyama, T., Maekawa, S.: Physica C191, 193 (1992)

    Google Scholar 

  14. Becker, K.W., Brenig, W., Fulde, P.: Z. Phys. B81, 165 (1990)

    Google Scholar 

  15. Unger, P., Fulde, P.: Phys. Rev. B47, 8947 (1993)

    Google Scholar 

  16. Lovtsov, S.V., Yushankhai, V.Yu.: Physica C179, 159 (1991)

    Google Scholar 

  17. Hayn, R., Yushankhai, V.Yu., Lovtsov, S.V.: Phys. Rev. B47, 5253 (1993)

    Google Scholar 

  18. Jefferson, J.H., Eskes, H., Feiner, L.F.: Phys. Rev. B45, 7959 (1992); and Jefferson, J.H.: Physica B165/166, 1013 (1990)

    Google Scholar 

  19. Barisic, S.: Int. J. Mod. Phys. B5, 2439 (1991)

    Google Scholar 

  20. Zubarev, D.N.: Sov. Phys. Uspekhi3, 320 (1960)

    Google Scholar 

  21. Eskes, H., Meinders, M.B.J., Sawatzky, G.A.: Phys. Rev. Lett.67, 1035 (1991)

    Google Scholar 

  22. Plakida, N.M., Yushankhai, V.Yu., Stasyuk, I.V.: Physica C160, 80 (1989)

    Google Scholar 

  23. Zaitsev, R.O., Ivanov, V.A.: Physica C153–155, 1295 (1988)

    Google Scholar 

  24. Izyumov, Yu.A., Letfulov, B.M.: Europhys. Lett.16, 497 (1991)

    Google Scholar 

  25. von Szczepanski, K.J., Horsch, P., Stephan, W., Ziegler, M.: Phys. Rev. B41, 2017 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Plakida, N.M., Hayn, R. Superconducting pairing in the singlet band of the Emery model. Z. Physik B - Condensed Matter 93, 313–319 (1994). https://doi.org/10.1007/BF01312701

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01312701

PACS

Navigation