Skip to main content
SpringerLink
Log in

Superconducting properties of the attractive Hubbard model

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

A self-consistent set of equations for the one-electron self-energy in the ladder approximation is derived for the attractive Hubbard model in the superconducting state. The equations provide an extension of a T-matrix formalism recently used to study the effect of electron correlations on normal-state properties. An approximation to the set of equations is solved numerically in the intermediate coupling regime, and the one-particle spectral functions are found to have four peaks. This feature is traced back to a peak in the self-energy, which is related to the formation of real-space bound states. For comparison we extend the moment approach to the superconducting state and discuss the crossover from the weak (BCS) to the intermediate coupling regime from the perspective of single-particle spectral densities.

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

Similar content being viewed by others

References

  1. Ding, H., Yokoja, T., Campuzano, J.C., Takahashi, T., Randeria, M., Norman, M.R., Mochiku, T., Kadowaki, K., Giapintzakis, J.: Nature 382, 51 (1996).

    Article  CAS  Google Scholar 

  2. Loeser, A.G., Shen, Z.X., Dessau, D.S., Marshall, D.S., Park, C.H., Fournier, P., Kapitulnik, A.: Science 273, 325 (1996).

    Article  CAS  Google Scholar 

  3. Micnas, R., Pedersen, M.H., Schafroth, S., Schneider, T., Rodríguez-Núnez, J.J., Beck, H.: Phys. Rev. B 52, 16223 (1995)

    Article  CAS  Google Scholar 

  4. Kadanoff, L.P., Baym, G.: Quantum Statistical Mechanics. Advanced Book Classics. New York: Addison-Wesley 1989; Baym, G., Kadanoff, L.P.: Phys. Rev. 124, 287 (1961); Baym, G.: Phys. Rev. 127, 1391 (1962)

    Google Scholar 

  5. Micnas, R., Ranninger, J., and Robaszkiewicz, S.: Rev. Mod. Phys. 62, 113 (1990)

    Article  CAS  Google Scholar 

  6. Rodríguez-Núnez, J.J., Schafroth, S., Beck, H., Schneider, T., Pedersen, M.H., Micnas, R.: Physica B 206-207, 654 (1995)

    Article  Google Scholar 

  7. Rodríguez-Núnez, J.J., Schafroth, S., Micnas, R., Schneider, T., Beck, H., Pedersen, M.H.: J. Low Temp. Phys. 99, 315 (1995)

    Article  Google Scholar 

  8. Schafroth, S., Rodríguez-Núnez, J.J.: Z. Phys. B, in press.

  9. Nolting, W.: Z. Physik 225, 25 (1972); Nolting, W.: Grundkurs: Theoretische Physik. 7 Viel-Teilchen-Theorie. Ulmen: Zimmermann- Neufang 1992

    Article  Google Scholar 

  10. Schneider, T., Pedersen, M.H., Rodríguez-Núnez, J.J.: Z. Phys. B 100, 263 (1996)

    Article  CAS  Google Scholar 

  11. Bickers, N.E., White, S.R.: Phys. Rev. B 43, 8044 (1991)

    Article  Google Scholar 

  12. Haussmann, R.; Z. Phys. B 91, 291 (1993)

    Article  Google Scholar 

  13. Mattuck, R.D.: A Guide to Feynman Diagrams in the Many-Body Problem. New York: Dover 1992; Eqs. (10.18) and (15.58)

    Google Scholar 

  14. Frésard, R., Glaser, B., Wölfle, P.: J. Phys.: Condens. Matter 4, 8565 (1992)

    Google Scholar 

  15. Martín-Rodero, A., Flores, F.: Phys. Rev. B 45, 13008 (1992)

    Article  Google Scholar 

Download references

Author information

Author notes

  1. M.H. Pedersen

    Present address: Département de Physique Théorique, Université de Genève, CH-1211, Genève, Switzerland

  2. T. Schneider

    Present address: Physik-Institut der Universität Zürich, CH-8057, Zürich, Switzerland

Authors and Affiliations

  1. IBM Research Division, Zurich Research Laboratory, CH-8803, Rüschlikon, Switzerland

    M.H. Pedersen & T. Schneider

  2. Instituto de Fisica, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza, Gragoatá S/N, 24210-340, Niterói RJ, Brazil

    J.J. Rodríguez-Núnez

  3. Institut de Physique, Université de Neuchâtel, Rue A.L. Breguet 1, CH-2000, Neuchâtel, Switzerland

    H. Beck

  4. Physik-Institut der Universität Zürich, Winterthurer Strasse 190, CH-8057, Zürich, Switzerland

    S. Schafroth

Authors
  1. M.H. Pedersen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J.J. Rodríguez-Núnez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Beck
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. T. Schneider
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. S. Schafroth
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M.H. Pedersen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pedersen, M., Rodríguez-Núnez, J., Beck, H. et al. Superconducting properties of the attractive Hubbard model. Z. Phys. B - Condensed Matter 103, 21–28 (1997). https://doi.org/10.1007/s002570050329

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002570050329

PACS

Search

Navigation