Superconductivity with Antiferromagnetic Background in a d=∞ Hubbard Model

  • S. Saito
  • S. Kurihara
  • Y.Y. Suzuki
Chapter
Part of the Selected Topics in Superconductivity book series (STIS, volume 8)

Abstract

We show that in an infinite dimensional (d=∞) Hubbard model a superconducting phase exists in the vicinity of the Mott transition. Analyzing the antiferromagnetic (AF) phase using a Gutzwiller-type variational wave function, we show that the compressibility takes negative (Kn<0), which, in a naive interpretation, would lead to phase separation. However, this instability should be taken as a Cooper instability due to the strong attractive interactions between the quasi-particles. We construct a phenomenological theory of the AF Fermi liquid and determine the corresponding Landau parameters using a microscopic approach. These results indicate the existence of spin waves whose dispersion is given by a linear spectrum ωk=ck which is absent in a Brinkman-Rice Fermi liquid. In addition, one of the Landau parameters becomes negative, indicating that the true ground-state is superconducting. As a result, the compressibility restores a positive value (Ks>0) and the phase separation in a normal phase turns out to be an artifact.

Keywords

Spin Wave Hubbard Model Quantum Phase Transition Fermi Liquid Coexistence Phase 
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.
    E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).CrossRefGoogle Scholar
  2. 2.
    W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).Google Scholar
  3. 3.
    E. Müller-Hartmann, Z. Phys. B 74, 507 (1989).CrossRefGoogle Scholar
  4. 4.
    A. Georges et al., Rev. Mod. Phys. 68, 13 (1996).CrossRefGoogle Scholar
  5. 5.
    M. C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963).CrossRefGoogle Scholar
  6. 6.
    W. R Brinkman et al., Phys. Rev. B 2, 4302 (1970).Google Scholar
  7. 7.
    P. Fazekas et al., Z. Phys. B 78, 69 (1990).CrossRefGoogle Scholar
  8. 8.
    B. McWhan et al., Phys. Rev. Lett. 27, 941 (1971).CrossRefGoogle Scholar
  9. 9.
    D. Vollhardt, Rev. Mod. Phys. 56, 99 (1984).CrossRefGoogle Scholar
  10. 10.
    D. Vollhardt et al., Phys. Rev. B 35, 6703 (1987).CrossRefGoogle Scholar
  11. 11.
    Y. Tokura et al., Phys. Rev. Lett. 70, 2126 (1993).CrossRefGoogle Scholar
  12. 12.
    T. Katsufuji et al., Phys. Rev. B 56, 10145 (1997).CrossRefGoogle Scholar
  13. 13.
    E. Dagotto et al., Phys. Rev. Lett. 74, 310 (1995).Google Scholar
  14. 14.
    P. Nozières et al., J. Low Temp. Phys. 59, 195 (1985).CrossRefGoogle Scholar
  15. 15.
    J. M. Tranquada et al., Phys. Rev. Lett. 78, 338 (1997).CrossRefGoogle Scholar
  16. 16.
    K. Yamada et al., Phys. Rev. B 57, 6165 (1998).CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Plenum Publishers 2002

Authors and Affiliations

  • S. Saito
    • 1
  • S. Kurihara
    • 1
  • Y.Y. Suzuki
    • 2
  1. 1.Department of PhysicsWaseda UniversityShinjuku-ku, TokyoJapan
  2. 2.NTT Basic Research LaboratoriesAtsugiJapan

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