Journal of Low Temperature Physics

, Volume 99, Issue 3–4, pp 599–601 | Cite as

Consistent 1/N-expansion for the four-slave-boson approach with an appropriate operator-ordering prescription

  • Enrico Aarrigoni
  • Giancarlo Strinati
Novel Many-body Techniques

Abstract

We study the single-band Hubbard model with arbitrary on-site repulsion U within the four-slave-boson approach. We evaluate 1/N corrections to the mean-field result by properly taking into account the additional terms due to the discretized form of the coherent-state functional integral. We show how the normal-ordering prescription for the bosonic hopping operator Zi,σ introduced by Kotliar and Ruckenstein can be suitably relaxed leading to additional contributions of\(\mathcal{O}\)(1/N) to physical quantities. The free-particle result at U = 0 is then recovered for arbitrary doping even with the inclusion of fluctuations. Numerical results are shown for finite values of U.

PACS numbers

71.30.+h 05.30.−d 71.10.+x 

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References

  1. 1.
    G. Kotliar and A.E. Ruckenstein, Phys. Rev. Lett.57, 1362 (1986).Google Scholar
  2. 2.
    L. Lilly, A. Muramatsu, and W. Hanke, Phys. Rev. Lett.65, 1379 (1990).Google Scholar
  3. 3.
    E. Arrigoni and G. C. Strinati, Phys. Rev. Lett.71, 3178 (1993).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Enrico Aarrigoni
    • 1
  • Giancarlo Strinati
    • 2
  1. 1.Max-Planck-Institut für Physik Komplexer SystemeStuttgartGermany
  2. 2.Dipartimento di FisicaUniversità di Roma “La Sapienza”RomaItaly

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