Metal-Insulator Transition and Landau Fermi Liquid Theory

  • Claudio Castellani
  • Carlo Di Castro
Part of the Institute for Amorphous Studies Series book series (IASS)

Abstract

The discovery that interaction effects with disorder give anomalous correction terms1 to the normal Fermi liquid behaviour of an electron system has changed in the last few years our views on the possible interpretations of the metal-insulator transition in the various cases. One cannot advocate any more either the Anderson or the Mott transition, but correlation and disorder appear strictly interconnected giving rise to a wider spectrum of transitions.

Keywords

Propa Stein 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1a.
    B.L.Altshuler, A.G.Aronov and P.A.Lee, Phys. Rev. Lett. 44, 1288 (1980).ADSCrossRefGoogle Scholar
  2. H.Fukuyama, J. Phys. Soc. Japan 48, 2169 (1980).ADSCrossRefGoogle Scholar
  3. B.L.Altshuler and A.G.Aronov, Solid State Comm. 30, 115 (1979)ADSCrossRefGoogle Scholar
  4. Zh. Eksp. Teor. Fiz., 77, 2028 (1979) (Sov. Phys. JETP 50, 968 (1979));ADSGoogle Scholar
  5. For a review on the metal-insulator transition see: N.F.Mott, “The Metal-Insulator Transition” (Taylor and Francis, London, 1974)Google Scholar
  6. “Anderson localization” edited by Y.Nagaoka and H.Fukuyama (Springer, New York 1982); P.A.Lee and T.V.Ramakrishnan, preprint (1984).Google Scholar
  7. 1b.
    B.L.Altshuler, A.G.Aronov and A.Yu.Zuzin, Zh. Eksp. Theor. Fiz. 84, 1525 (1983) (Sov. Phys. JETP 57, 889 (1983).Google Scholar
  8. 1c.
    H.Fukuyama J. Phys. Soc. Japan 50, 3407 (1981).ADSCrossRefGoogle Scholar
  9. 2.
    E.Abrahams, P.W.Anderson, D.C.Licciardello and T.V.Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).ADSCrossRefGoogle Scholar
  10. 3.
    F.J.Wegner, Z. Phys. B35, 207 (1979)ADSGoogle Scholar
  11. S.Hikami, A.I.Larkin and Y.Nagaoka, Progr. Theor. Phys. 63, 707 (1980)ADSCrossRefGoogle Scholar
  12. K.B.Efetov, A.I.Larkin and D.E.Khemlnitskii, Zh. Eksp. Teor. Fiz. 79, 1120 (1980) (Sov. Phys. JETP 52 (3), 568 (1980)).Google Scholar
  13. S.Hikami, Prog. Theor. Phys. 64, 1466 (1980)MathSciNetADSMATHCrossRefGoogle Scholar
  14. S.Hikami, Phys. Rev. B242671 (1981).ADSGoogle Scholar
  15. 4.
    G.Hertel, D.J.Bishop, E.G.Spencer, J.M.Rowell and R.C.Dynes, Phys. Rev. Lett. 50743 (1983).ADSCrossRefGoogle Scholar
  16. W.L.McMillan and J.Mochel Phys. Rev. Lett. 46, 556 (1981).ADSCrossRefGoogle Scholar
  17. 5.
    For a review on recent developments in the Metal-Insulator Transition see G.A.Thomas and M.A.Paalanen, preprint 1984.Google Scholar
  18. 6.
    N.Nishida et al., Solid State Electronics, Proceedings of the Santa Cruz Conference (1984).Google Scholar
  19. 7.
    G.A.Thomas, M.Paalanen and T.F.Rosenbaum Phys. Rev. B27, 3897 (1983).ADSGoogle Scholar
  20. 8.
    For a review on doped semiconductors see T.F.Rosenbaum R.F.Milligan, M.A.Paalanen, G.A.Thomas and R.N.Bhatt, Phys. Rev. B27, 7509 (1983).ADSGoogle Scholar
  21. 9.
    A.M.Finkel’stein, Zh. Eksp. Teor. Fiz. 84, 168 (1983), (Sov. Phys. JETP 57, 97 (1983)).Google Scholar
  22. 10.
    A.M.Finkel’stein, Pis’ma Zh. Eksp. Teor. Fiz.37, 436 (1983) (JETP Lett. 37, 517 (1983)).Google Scholar
  23. 11.
    A.M.Finkel’stein, Zeitschrift fur Physik B56, 189 (1984)ADSGoogle Scholar
  24. 12.
    C.Castellani, C.Di Castro, G.Forgacs and S.Sorella, Solid State Comm. 52261 (1984).ADSCrossRefGoogle Scholar
  25. 13.
    C.Castellani, C.Di Castro, P.A.Lee, and M.Ma, Phys. Rev. B30527 (1984)ADSGoogle Scholar
  26. 14.
    C.Castellani, C.Di Castro, P.A.Lee, M.Ma, S.Sorella and E.Tabet, Phys. Rev. B, Rap. Comm. 30, 1596 (1984)ADSGoogle Scholar
  27. 15.
    B.L.Altshuler and A.G.Aronov, Solid State Comm. 46, 429 (1983)ADSCrossRefGoogle Scholar
  28. 16.
    C.Castellani, C.Di Castro, P.A.Lee, M.Ma, S.Sorella and E.Tabet, preprint (1985)Google Scholar
  29. 17.
    C.Castellani, C.Di Castro, unpublishedGoogle Scholar
  30. 18.
    L.P.Gorkov, A.I.Larkin and D.E.Khmel’nitskii, Pis’ma Zh.Eksp. Teor. Fiz. 30 248 (1979) (JETP Lett. 30, 228 (1979))Google Scholar
  31. E.Abrahams and T.V.Ramakrishnan, J.Non-Crist. Sol. 35, 15 (1980)ADSCrossRefGoogle Scholar
  32. 19.
    D.Vollhart and P.Wölfle, Phys. Rev. Lett. 45, 842 (1980).ADSCrossRefGoogle Scholar
  33. C.Castellani, C.Di Castro, G.Forgacs and E.Tabet, J.Phys. C16, 159 (1983).ADSGoogle Scholar
  34. 20.
    R.C.Dynes, private comm. (1984).Google Scholar
  35. 21.
    S. von Molnar, A.Briggs, J.Flouquet and G.Remenyi, Phys. Rev. Lett. 51, 706 (1983).ADSCrossRefGoogle Scholar
  36. 22.
    See for instance P.Nozière, Theory of interacting Fermi systems ( W.A.Benjamin, N.Y. 1964 ).Google Scholar
  37. 23.
    See for instance: D.Vollhardt, Rev. Mod. Phys. 56, 99 (1984) and references therein.ADSCrossRefGoogle Scholar
  38. 24.
    G.A.Thomas, Y.Ootuko., S.Kobayashi and W.Sasaki, Phys. Rev. B24, 4886 (1981).ADSGoogle Scholar
  39. 25.
    M.A.Paalanen, A.E.Ruckenstein and G.A.Thomas, Solid State Electronic Proceedings of the Santa Cruz Conference (1984).Google Scholar
  40. 26.
    C.Castellani, C.Di Castro, G.Forgacs and E.Tabet, Nucl. Phys. B225, FS9, 441 (1983).ADSCrossRefGoogle Scholar
  41. 27.
    C.Castellani and C.Di Castro, to appear in the Reports of the LXXXIX Varenna School (1983) edited by F.Bassani, F.Fumi and M.Tosi (Accademic Press).Google Scholar
  42. 28.
    P.A.Lee, Phys. Rev. B26, 5882 (1982).ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • Claudio Castellani
    • 1
    • 2
  • Carlo Di Castro
    • 2
  1. 1.Istituto di FisicaUniversità del’AquilaL’AquilaItaly
  2. 2.Dipartimento di FisicaUniversità degli Studi di Roma “La Sapienza”RomaItaly

Personalised recommendations