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Non-Fermi Liquid Behavior in the Kondo and Heisenberg Models

  • P. D. Sacramento
Part of the NATO ASI Series book series (NSSB, volume 343)

Abstract

The issue of non-Fermi liquid behavior in strongly correlated electron systems has attracted considerable interest. Several one-dimensional systems, notably the Hubbard model, have been shown to belong to other classes of systems like Luttinger liquids1 or Landau liquids2. The extension of these classifications to higher-dimensions (in particular d = 2) has resurged the discussion of the applicability of the Fermi liquid picture, usually successful in d = 3.

Keywords

Hubbard Model Correlate Electron System Kondo Effect Heisenberg Chain Impurity Spin 
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.

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References

  1. 1-.
    F.D.M. Haldane, J. Phys. C 14, 2585 (1981).ADSCrossRefGoogle Scholar
  2. 2-.
    J. Carmelo and A.A. Ovchinnikov, J. Phys. CM 2, 757 (1991).Google Scholar
  3. 3-.
    Y. Yafet, C.M. Varma and B. Jones, Phys. Rev. B 32, 360 (1985)ADSCrossRefGoogle Scholar
  4. N. Read, K. Dharamvir, J.W. Rasul and D.M. Newns, J. Phys. C 19, 1597 (1986).ADSCrossRefGoogle Scholar
  5. 4-.
    P. Nozieres and A. Blandin, J. Physique 41, 193 (1980).Google Scholar
  6. 5-.
    For a review see P. Schlottmann, Phys. Reports 181, 1 (1989).ADSCrossRefGoogle Scholar
  7. 6-.
    For a review see P. Schlottmann and P.D. Sacramento, to appear in Adv. in Phys.Google Scholar
  8. 7-.
    D.L. Cox, Phys. Rev. Lett. 59, 1240 (1987)ADSCrossRefGoogle Scholar
  9. A.M. Tsvelick, J. Phys. C 18, 159 (1985)ADSCrossRefGoogle Scholar
  10. P.D. Sacramento and P. Schlottmann, Phys. Lett. 142 A, 245 (1989).ADSGoogle Scholar
  11. 8-.
    K. Vladar and A. Zawadowski, Phys. Rev. B 28, 1564, 1582 (1983)ADSCrossRefGoogle Scholar
  12. A.
    Muramatsu and F. Guinea, Phys. Rev. Lett. 57, 2337 (1986); G. Zarand and A. Zawadowski, preprint.ADSCrossRefGoogle Scholar
  13. 9-.
    P.D. Sacramento and P. Schlottmann, Phys. Rev. B 43, 13294 (1991).ADSCrossRefGoogle Scholar
  14. 10-.
    D.C. Ralph and R.A. Buhrman, Phys. Rev. Lett. 69, 2118 (1992).ADSCrossRefGoogle Scholar
  15. 11-.
    See e. g. D.L. Cox, M. Jarrel C. Jayaprakash, H.R. Krishna-Murthy and J. Diesz, Phys. Rev. Lett. 62, 2188 (1989)ADSCrossRefGoogle Scholar
  16. 12-.
    L.A. Takhtajian, Phys. Lett. 87 A, 479 (1982).ADSGoogle Scholar
  17. 13-.
    H.M. Babujian, Phys. Lett. 90 A, 479 (1982); Nucl. Phys. B 215, 317 (1983).ADSGoogle Scholar
  18. 14-.
    P.D. Sacramento, to appear in Z. Phys. B.Google Scholar
  19. 15-.
    N. Andrei and H. Johannesson, Phys. Lett. 100 A, 108 (1984)MathSciNetADSGoogle Scholar
  20. K. Lee and P. Schlottmann, Phys. Rev. B 36, 466 (1987).ADSCrossRefGoogle Scholar
  21. 16-.
    P. Schlottmann, J. Phys. CM 3, 6617 (1991).Google Scholar
  22. 17-.
    P. Schlottmann, Phys. Rev. Lett. 54, 2131 (1985).ADSCrossRefGoogle Scholar
  23. 18-.
    I. Affleck, Phys. Rev. Lett. 56, 746 (1986).MathSciNetADSCrossRefGoogle Scholar
  24. 19-.
    P.D. Sacramento, J. Phys. CM 5, 6999 (1993).Google Scholar
  25. 20-.
    Lee and Schlottmann in ref. 15Google Scholar
  26. K.J.B. Lee, J. Phys. CM 3, 1679 (1991).Google Scholar
  27. 21-.
    S. Eggert and I. Affleck, Phys. Rev. B 46, 10866 (1992); E.S. Sorensen, S. Eggert and I. Affleck, preprint.ADSCrossRefGoogle Scholar
  28. 22-.
    I. Affleck, A.W.W. Ludwig, H.B. Pang and D.L. Cox, Phys., Rev. B 45, 7918 (1992)ADSCrossRefGoogle Scholar
  29. V.J. Emery and S. Kivelson, Phys. Rev. B 46, 10812 (1992).ADSCrossRefGoogle Scholar
  30. 23-.
    P. Schlottmann, preprint.Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • P. D. Sacramento
    • 1
  1. 1.Centro de Física da Matéria CondensadaLisboa CodexPortugal

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