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Metal-Insulator and Superconductor-Insulator Transitions in Correlated Electron Systems

  • Masatoshi Imada
  • Fakher F. Assaad
  • Hirokazu Tsunetsugu
  • Yukitoshi Motome
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 125)

Abstract

Quantum transitions between the Mott insulator and metals by controlling filling in two-dimensional square lattice are characterized by a large dynamical exponentz = 4 where the origin of unusual metallic properties near the Mott insulator are ascribed to the proximity of the transition. The scaling near the transition indicates the formation of flat dispersion area due to singular momentum dependence of the single-particle renormalization. The flat dispersion controls critical properties of the Mott transition. An instability of the flat dispersion to thed-wave superconducting order is discussed. We also discuss a case of the Mott transition for a model of Mn perovskite compounds with orbital degeneracy where orbital correlation length shows critical divergence toward the metal-insulator transition.

Keywords

Fermi Surface Hubbard Model Universality Class Localization Length Mott Transition 
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]
    For a review see M. Imada, A. Fujimori and Y. Tokura: to appear in Rev. Mod. Phys.70 (1998) No.4.CrossRefGoogle Scholar
  2. [2]
    M. Imada: J. Phys. Soc. Jpn.63(1994) 4294.ADSCrossRefGoogle Scholar
  3. [3]
    M. Imada: J. Phys. Soc. Jpn.64(1995) 2954.ADSCrossRefGoogle Scholar
  4. [4]
    M. Imada: J. Low Temp.Phys.99(1995) 437.ADSCrossRefGoogle Scholar
  5. [5]
    For a review, see A. Georges, W. Krauth and M.J. Rozenberg: Rev. Mod. Phys.68(1996) 13.MathSciNetADSCrossRefGoogle Scholar
  6. [6]
    For a review, see D. Belitz and T.R. Kirkpatrick: Rev. Mod. Phys. 66 (1994) 261.ADSCrossRefGoogle Scholar
  7. [7]
    T. Moriya:Spin Fluctuations in Itinerant Electron Magnetism, Springer Series in Solid-State Sciences Vol. 56 ( Springer, Berlin, 1985 ).Google Scholar
  8. [8]
    A.J. Millis: Phys. Rev. B48(1993) 7183.ADSCrossRefGoogle Scholar
  9. [9]
    N. Furukawa and M. Imada: J. Phys. Soc. Jpn.61(1992) 3331.ADSCrossRefGoogle Scholar
  10. [10]
    N. Furukawa and M. Imada: J. Phys. Soc. Jpn.62(1993) 2557.ADSCrossRefGoogle Scholar
  11. [11]
    N. Furukawa, F.F. Assaad and M. Imada: J. Phys. Soc. Jpn.65(1996) 2339.ADSCrossRefGoogle Scholar
  12. [12]
    J. Jaklic and P. Prelovšek: to appear in Adv. Phys.; Cond-mat/9603081.Google Scholar
  13. [13]
    M. Kohno: Phys. Rev.,55(1997) 1435.ADSCrossRefGoogle Scholar
  14. [14]
    F.F. Assaad and M. Imada: Phys. Rev. Lett.,76(1996) 3176.ADSCrossRefGoogle Scholar
  15. [15]
    H. Tsunetsugu and M. Imada: J. Phys. Soc. Jpn.67(1998) 1864.ADSCrossRefGoogle Scholar
  16. [16]
    M. A. Continentino: Phys. Rep.239(1994) 179.ADSCrossRefGoogle Scholar
  17. [17]
    M. Imada: J. Phys. Soc. Jpn.63(1994) 3059.ADSCrossRefGoogle Scholar
  18. [18]
    F. Wegner: Z. Phys. B25(1976) 327.ADSCrossRefGoogle Scholar
  19. [19]
    J. Jaklič and P. Prelovšek: Phys. Rev. B52(1995) 6903.ADSCrossRefGoogle Scholar
  20. [20]
    W. Stephan and P. Horsch: Phys. Rev. B42(1990) 8736.ADSCrossRefGoogle Scholar
  21. [21]
    Z. -X. Shen and D. S. Dessau: Phys. Rep.253(1995) 1.ADSCrossRefGoogle Scholar
  22. [22]
    K. Gofron et al.: Phys. Rev. Lett.73(1994) 3302.ADSCrossRefGoogle Scholar
  23. [23]
    R. Preuss, W. Hanke, C. Grober, and H.G. Evertz: Phys. Rev. Lett.79(1997) 1122.ADSCrossRefGoogle Scholar
  24. [24]
    B.O. Wellset al: Phys. Rev. Lett.74(1995) 964.ADSCrossRefGoogle Scholar
  25. [25]
    D.S. Marshall et al.: Phys. Rev. Lett.76(1996) 4841.ADSCrossRefGoogle Scholar
  26. [26]
    H. Ding et al.: Nature382(1996) 51.ADSCrossRefGoogle Scholar
  27. [27]
    K. Mizuhashi et al.: Phys. Rev. B52(1995) R3884.ADSCrossRefGoogle Scholar
  28. [28]
    Y. Fukuzumi et al.: Phys. Rev. Lett76(1996) 684.ADSCrossRefGoogle Scholar
  29. [29]
    F. F. Assaad, M. Imada and D. J. Scalapino: Phys. Rev. Lett.76(1996) 4592.ADSCrossRefGoogle Scholar
  30. [30]
    F. F. Assaad, M. Imada and D. J. Scalapino: Phys. Rev. B56 (1997)15001.Google Scholar
  31. [31]
    F. F. Assaad and M. Imada: Phys. Rev. B 57 (1998) to appear.Google Scholar
  32. [32]
    S.C. Zhang: Science275(1997) 4126.Google Scholar
  33. [33]
    Y. Motome and M. Imada: unpublished.Google Scholar
  34. [34]
    Y. Okimoto, T. Katsufuji, T. Ishikawa, T. Arima, and Y. Tokura: Phys. Rev. B55 (1997)4206.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Masatoshi Imada
    • 1
  • Fakher F. Assaad
    • 2
  • Hirokazu Tsunetsugu
    • 3
  • Yukitoshi Motome
    • 4
  1. 1.Institute for Solid State PhysicsUniversity of TokyoRoppongi, Minato-ku, TokyoJapan
  2. 2.Institut für Theoretische PhysikTeilinstitut III, Universität StuttgartStuttgartGermany
  3. 3.Institute of Applied PhysicsUniversity of TsukubaTsukuba, IbarakiJapan
  4. 4.Department of PhysicsTokyo Institute of TechnologyOh-okayama, Meguro-ku, TokyoJapan

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