The Two-Dimensional Hubbard Model: Numerical Evaluation of the Properties of Projected Antiferromagnetic and Superconducting Wavefunctions

  • C. Gros
  • T. M. Rice
  • R. Joynt
Part of the Recent Progress in Many-Body Theories book series (RPMT, volume 1)


We examine the stability of generalized Gutzwiller wavefunction against Cooper pairing within the two-dimensional Hubbard model in the large U limit. The paramagnetic state is found to be stable against s-wave pairing but unstable against d-wave pairing. No (pairing energy) effect is found for the antiferromagnetic case. The calculations were done by evaluating numerically the properties of the wavefunction with a new method, which made it possible to calculate the small energy differences. We propose a pairing mechanism which is based on the nesting of the saddlepoints by the antiferromagnetic nesting vector Q = (π,π). Possible relevance for the high Tc superconductors is discussed.


Cooper Pair Small Energy Difference Anti Ferromagnetic Nest Vector Anti Ferromagnetic State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. G. Bednorz, K. A. Müller, Z. Phys. B 64:188 (1986).CrossRefGoogle Scholar
  2. 2.
    T. M. Rice, to be published in Z. Phys. B.Google Scholar
  3. 3.
    a) P.W. Anderson, Science 235:1196 (1987);CrossRefGoogle Scholar
  4. G. Baskaran, Z. Zou, P.W. Anderson: preprint.Google Scholar
  5. b) P.W. Anderson, G. Baskaran, Z. Zou, T. Hsu: preprint;Google Scholar
  6. Z. Zou, P.W. Anderson: preprint.Google Scholar
  7. 4.
    J. Hirsch: preprint.Google Scholar
  8. Y. Takahashi: preprint.Google Scholar
  9. 5.
    M.C. Gutzwiller, Phys. Rev. Lett. 10:159 (1963).CrossRefGoogle Scholar
  10. 6.
    C. Gros, R. Joynt, T.M. Rice, Phys. Rev. B: July 1 (1987).Google Scholar
  11. 7.
    H. Yokoyama, H. Shiba: preprint.Google Scholar
  12. 8.
    C. Gros, R. Joynt, T.M. Rice: preprint.Google Scholar
  13. 9.
    G. Kotliar, A. Ruckenstein, Phys. Rev. Lett. 57:1362 (1986).CrossRefGoogle Scholar
  14. 10.
    J. Oitmaa, D. D. Betts, Can. J. Phys. 56:897 (1978).CrossRefGoogle Scholar
  15. 11.
    D. Vollhardt, Rev. Mod. Phys. 56:99 (1984).CrossRefGoogle Scholar
  16. 12.
    H. Yokoyama, H. Shiba, J. Phys. Soc. Jpn. 56:1490 (1987).CrossRefGoogle Scholar
  17. 13.
    P. Horsch, T. A. Kaplan, J. Phys. C 16: L1203 (1983).Google Scholar
  18. 14.
    P. Horsch, T. A. Kaplan, Bull. Am. Phys. Soc. 30:513 (1985).Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • C. Gros
    • 1
  • T. M. Rice
    • 1
  • R. Joynt
    • 2
  1. 1.Institut für theoretische PhysikETH-HönggerbergZürichSwitzerland
  2. 2.Dept. of PhysicsUniv. of WisconsinMadisonUSA

Personalised recommendations