Hartree Fock and RPA Studies of the Hubbard Model

  • F. Guinea
  • E. Louis
  • J. A. Vergés
Part of the NATO ASI Series book series (NSSB, volume 343)


The Hubbard model has been the simplest starting point in the study of strongly correlated systems[1, 2, 3]. Almost all methods known to condensed matter theoreticians have been applied to its analysis.


Spin Wave Hubbard Model Random Phase Approximation Fermi Liquid Luttinger Liquid 
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. Hubbard, Proc. Roy. Soc. (London) Ser. A 276, 238 (1963).ADSCrossRefGoogle Scholar
  2. [2]
    J. Kanamori, Prog. Theor. Phys. 30, 275 (1963).ADSzbMATHCrossRefGoogle Scholar
  3. [3]
    M. C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963).ADSCrossRefGoogle Scholar
  4. [4]
    E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).ADSCrossRefGoogle Scholar
  5. [5]
    See, for instance, the contributions by G. Kotliar and D. Vollhart in this volume.Google Scholar
  6. [6]
    J.R. Engelbrecht and M. Randeria, Phys. Rev. Lett. 65, 1032 (1990); ibid, Phys. Rev. Lett. 66, 3225 (1991).ADSCrossRefGoogle Scholar
  7. [7]
    V. Bach, E. H. Lieb and J. P. Solovej, Princeton preprint.Google Scholar
  8. [8]
    A.R. Bishop, F. Guinea, P.S. Lomdahl, E. Louis and J.A. Vergés, Europhys. Lett. 14, 157–163 (1991).ADSCrossRefGoogle Scholar
  9. J.A. Vergés, E. Louis, P.S. Lomdahl, F. Guinea and A.R. Bishop, Phys. Rev. B 43, 6099–6108 (1991).ADSCrossRefGoogle Scholar
  10. [9]
    See H. J. Schultz, this volume, and references therein.Google Scholar
  11. [10]
    F. Guinea, E. Louis and J.A. Vergés, Phys. Rev. B 45, 4752–4758 (1992).ADSCrossRefGoogle Scholar
  12. F. Guinea, E. Louis and J.A. Vergés, Europhys. Lett. 17, 455–462 (1992).ADSCrossRefGoogle Scholar
  13. [11]
    M. Fabrizio, A. Parola and E. Tosatti Phys. Rev. B 46, 3159 (1992).CrossRefGoogle Scholar
  14. E. Dagotto, A. Moreo, F. Ortolani, D. Poilblanc and J. Riera, Phys. Rev. B 45, 10741 (1992).ADSCrossRefGoogle Scholar
  15. [12]
    See E. Louis et al, this volume.Google Scholar
  16. G. Galán, G. Chiappe, E. Louis, F. Guinea and J.A. Vergés, Phys. Rev. B 46, 3163–3166 (1992).ADSCrossRefGoogle Scholar
  17. [13]
    Y. Nagaoka, Phys. Rev. 147, 392 (1967).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • F. Guinea
    • 1
  • E. Louis
    • 2
  • J. A. Vergés
    • 1
  1. 1.Instituto de Ciencia de MaterialesConsejo Superior de Investigaciones CientíficasMadridSpain
  2. 2.Departamento de Física AplicadaUniversidad de AlicanteAlicanteSpain

Personalised recommendations