Journal of Low Temperature Physics

, Volume 99, Issue 3–4, pp 625–635 | Cite as

Slave boson theories of correlated electron systems

  • Peter Wölfle
Novel Many-body Techniques


Slave boson theories of various models of correlated fermions are critically reviewed and several new results are presented. In the example of the Andersen impurity model the limitations of slave boson mean field theory are discussed. Self-consistent conserving approximations are compared with results obtained from the numerical renormalization group. The gauge field theory of the t-J-model is considered in the quasistatic approximation. It is shown that weak localization effects can give valuable information on the existence of gauge fields. Applications of the slave-boson approach due to Kotliar and Ruckenstein to the Hubbard model are also discussed.

PACS numbers

72.15Rn 73.15 Lh 73.20.Fz 74.72.−h 


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  1. 1.
    P.A. Lee, T.M. Rice, J.W. Serene, L.J. Sham and J.W. Wilkins, Comments on Condensed Matter Physics,12, 99 (1986).Google Scholar
  2. 2.
    P.W. Anderson, Science,235, 1196 (1987).Google Scholar
  3. 3.
    P.W. Anderson, Phys. Rev. Lett.64, 1839 (1990);65, 2306 (1990).Google Scholar
  4. 4.
    A.C. Hewson, “The Kondo Problem to Heavy Fermions”, (Cambridge University Press, 1993).Google Scholar
  5. 5.
    A. Georges, and A.M. Sengupta, preprint.Google Scholar
  6. 6.
    W. Metzner and D. Vollhardt, Phys. Rev. Lett.62, 324 (1989).Google Scholar
  7. 7.
    S.E. Barnes, J. Phys.F6, 1375 (1976):F7, 2631 (1977).Google Scholar
  8. 8.
    P. Coleman, Phys. Rev.B29, 3–35 (1984).Google Scholar
  9. 9.
    C. Jayaprakash, H.R. Krishnamurthy and Sanjoy Sarker, Phys. RevB40, 2610 (1989).Google Scholar
  10. 10.
    For example, K.W. Becker and P. Fulde, Z. Phys.B72, 423 (1988); W. Brenig and K.W. Becker, Z. Phys.B76, 473 (1989).Google Scholar
  11. 11.
    N. Read, J. Phys. C: Solid State Phys.18, 2651 (1985).Google Scholar
  12. 12.
    E. Arrigoni, C. Castellani, R. Raimondi and G.C. Strinati, Phys. Rev.B50, 2700 (1994).Google Scholar
  13. 13.
    J. Kroha, P.J. Hirschfeld, K.A. Muttalib and P. Wölfle, Solid St. Comm.83, 1003 (1992).Google Scholar
  14. 14.
    H. Keiter and J.C. Kimball, Int. J. Magn.1, 133 (1971).Google Scholar
  15. 15.
    Y. Kuramoto, Z. Phys.B53, 37 (1983).Google Scholar
  16. 16.
    E. Müller-Hartmann, Z. Phys.B57, 281 (1984).Google Scholar
  17. 17.
    N.E. Bickers, Rev. Mod. Phys.59, 845 (1987).Google Scholar
  18. 18.
    P.W. Anderson, Phys. Rev.164. 352 (1967).Google Scholar
  19. 19.
    T.A. Costi, J. Kroha, P. Schmitteckert and P. Wolue, Phys. Rev. Lett.73, 1275 (1994).Google Scholar
  20. 20.
    K.G. Wilson, Rev. Mod. Phys.47, 773 (1975).Google Scholar
  21. 21.
    F. Anders and N. Grewe, Europhysics. Lett.26, 551 (1994).Google Scholar
  22. 22.
    J. Gruneberg and H. Keiter, PhysicaB171, 39 (1991).Google Scholar
  23. 23.
    J. Kroha, unpublishedGoogle Scholar
  24. 24.
    B. Affleck and A.W.W. Ludwig, Phys. Rev. Lett.3160, 161 (1991).Google Scholar
  25. 25.
    D.L. Cox and A.E. Ruckenstein, Phys. Rev. Lett71, 1613 (1993).Google Scholar
  26. 26.
    F.C. Zhang and T.M. Rice, Phys. Rev.B37, 3759 (1988).Google Scholar
  27. 27.
    G. Baskaran, Z. Zou and P.W. Anderson, Solid State Comm.69, 973 (1987).Google Scholar
  28. 28.
    A.E. Ruckenstein, P.J. Hirschfeld and J. Appel, Phys. Rev.B 36, 857 (1987).Google Scholar
  29. 29.
    G. Kotliar and J. Liu, Phys. Rev.B 38, 5142 (1988).Google Scholar
  30. 30.
    G. Baskaran and P.W. Anderson, Phys. Rev.B 37, 580 (1988).Google Scholar
  31. 31.
    L. Ioffe and A.I. Larkin, Phys. Rev.B 39, 8988 (1989).Google Scholar
  32. 32.
    P.A. Lee and N. Nagaosa, Phys. Rev.B 46, 5621 (1992).Google Scholar
  33. 33.
    M.U. Ubbens and P.A. Lee, Phys Rev.B49, 6853 (1994).Google Scholar
  34. 34.
    A.G. Aronov, A.D. Mirlin and P. Wölfle, Phys. Rev.B 49, 16609 (1994).Google Scholar
  35. 35.
    T.W. Jing, N.P. Ong, T.V. Ramakrishnan, J.M. Tarascon and K. Remschnig, Phys. Rev. Lett.67, 761 (1991).Google Scholar
  36. 36.
    A.G. Aronov and P. Wölfle, Phys. Rev. Lett.72, 2239 (1994).Google Scholar
  37. 37.
    A.G. Aronov and P. Wölfle, Phys. Rev. B, in press.Google Scholar
  38. 38.
    G. Kotliar and A.E. Ruckenstein, Phys. Rev. Lett.57, 1362 (1986).Google Scholar
  39. 39.
    M. Lavagna, Phys. Rev.B142 (1990).Google Scholar
  40. 40.
    M. Gutzwiller, Phys. Rev. Lett.10, 159 (1963): W.F. Brinkman and T.M. Rice, Phys. Rev.B2, 4302 (1970); D. Vollhardt, Rev. Mod. Phys.56, 99 (1984); D. Vollhardt, P. Wölfle and P.W. Anderson, Phys. Rev.B35, 6703 (1987).Google Scholar
  41. 41.
    L. Lilly, A. Muramatsu and W. Hanke, Phys. Rev. Lett.65, 1379 (1990).Google Scholar
  42. 42.
    R. Preuss, A. Muramatusu, W. van der Linden, P. Dieterich, F.F. Assaad, and W. Hanke, Phys. Rev. Lett.73, 732 (1994).Google Scholar
  43. 43.
    T. Li, P. Wölfle and P.J. Hirschfeld, Phys. Rev.B40, 6817 (1989).Google Scholar
  44. 44.
    R. Frésard and P. Wölfle, Int. J. Mod. Phys.B6, 685 (1992).Google Scholar
  45. 45.
    R. Frésard, M. Dzierzawa and P. Wölfle, Europhys. Lett.15, 325 (1991); F. Frésard, and P. Wölfle, J.Phys.C4, 3625 (1992); M. Deeg, H. Fehske and H. Büttner, Z. Phys.B88, 283 (1992).Google Scholar
  46. 46.
    B. Möller, K. Doll and R. Frésard, J. Phys. C5, 4847 (1993).Google Scholar
  47. 47.
    H. Schulz, Phys. Rev. Lett.65, 2462 (1990).Google Scholar
  48. 48.
    W. Zhang, M. Avignon and K.H. Bennemann, Phys. Rev.B45, 12478 (1992); W. Zhang and K.H. Bennemann, Phys. Rev.B45, 12487 (1992).Google Scholar
  49. 49.
    R. Frésard and K. Doll, Proceedings of the NATO ARW “The physics and the mathematical physics of the Hubbard model”, ed. D.K. Campbell, San Sebastian (1993).Google Scholar
  50. 50.
    Y. Bang, C. Castellani, M. Grilli, G. Kotliar, R. Raimondi and Z. Wang, Int. J. Mod. Phys.B6, 531 (1992).Google Scholar
  51. 51.
    Th. Jolicoeur and J.C. Le Guillon, Phys. Rev.B44, 2403 (1991).Google Scholar
  52. 52.
    P. Wölfle and T. Li, Z. Phys.B78, 45 (1990).Google Scholar
  53. 53.
    Z.Y. Weng, D.N. Sheng and C.S. Ting, Phys. Rev.B49, 607 (1994).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Peter Wölfle
    • 1
  1. 1.Institut für Theorie der Kondensierten MaterieUniversität KarlsruheKarlsruheGermany

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