The Character of Band Gaps in Transition Metal Compounds

  • G. A. Sawatzky
Part of the NATO ASI Series book series (NSSB, volume 184)


Perhaps the longest standing controversy in narrow band materials relates to the size and nature of the band gap in especially the late 3d transition metal compounds1 which is of importance in understanding the systematics of band gaps2, the closing of the gap in metallic systems3, the optical properties4 and superexchange interactions5 which involve virtual charge and spin excitations. Formally the band gap is determined by the minimum energy required to remove an electron from a system (EN-1-EN) plus the energy required to add one (EN+1-EN) where EN is the ground state energy of the N electron system. This energy is equivalent to an electron-hole excitation in the N particle system to the lowest energy dissociative state i.e. the lowest energy of those states in which the electron and hole are uncorrelated. An important question then is what is the nature of the first ionized state and first electron affinity state in narrow band compounds? Obviously this is also an extremely relevant question in the new high temperature superconductors. For example the substitution of Ba for La in La2CuO4 or the addition of oxygen in YBa2Cu3O6.5 must be charge compensated by holes in the valence band which then are the charge carriers. What is the nature of these holes — are they Cu 3d like or O2p like?


Transition Metal Compound Neel Temperature Charge Transfer Energy Longe Standing Controversy Anderson Impurity 
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  1. 1.
    See for example A.H. Wilson, Proc. Roy. Soc. A133:458 (1931).ADSGoogle Scholar
  2. 1a.
    H.J. de Boer and E.J.W. Verwey, Proc. Phys. Soc. A49:59 (1937);CrossRefGoogle Scholar
  3. 1b.
    N.F. Mott, Proc. Phys. Soc. Sect. A62:416 (1949);ADSCrossRefGoogle Scholar
  4. 1c.
    T. Oguchi, K. Terakura and A.R. Williams, Phys. Rev. B28-.6443 (1983);ADSGoogle Scholar
  5. 1d.
    A. Fujimori, E. Minami and S. Sugano, Phys. Rev. B29:5225 (1984);ADSGoogle Scholar
  6. 1e.
    G.A. Sawatzky and J.W. Allen, Phys. Rev. Lett. 53:2239 (1984).ADSCrossRefGoogle Scholar
  7. 2.
    The band gap in late transition metal halides seems to scale with the electronegativity of the anion, e.g. see Ni dihalides C.R. Rondo, G.J. Arends and C. Haas, Phys. Rev, (in press) (1987).Google Scholar
  8. 3.
    CuS is a “p” type metal (superconductor) J.C.W. Folmer and F. Jellinek, J. Less Common Metals 76:153 (1980).CrossRefGoogle Scholar
  9. 4.
    Excitonic dn → dn or interband. S. Sugano, T. Tanabe and H. Kamimura in “Multiplets of transition metal ions in crystals (Academic, New York 1970).Google Scholar
  10. 5.
    O.W. Anderson, Solid State Physics 14:99 (1963).CrossRefGoogle Scholar
  11. 6.
    J. Zaanen, G.A. Sawatzky and J.W. Allen, Phys. Rev. Lett. 55:418 (1985).ADSCrossRefGoogle Scholar
  12. 7.
    O. Gunnarsson and K. Schönhammer, Phys. Rev. B28:4315 (1983)Google Scholar
  13. 7a.
    O. Gunnarsson and K. Schönhammer, Phys. Rev. B28:4815 (1985).Google Scholar
  14. 8.
    J. Zaanen and G.A. Sawatzky, Can. J. of Phys. (in press) 1987.Google Scholar
  15. 9.
    J. Zaanen, C. Westra and G.A. Sawatzky, Phys. Rev. B33-.8060 (1986).ADSGoogle Scholar
  16. 9a.
    G. van der Laan, J. Zaanen, G.A. Sawatzky, R. Karnatak and J.M. Esteva, Phys. Rev. B33:4253 (1986).ADSGoogle Scholar
  17. 10.
    R.A. de Groot, private communication.Google Scholar
  18. 11.
    The band gap is smaller than in NiO because the d-p hybridization is larger.Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • G. A. Sawatzky
    • 1
  1. 1.Laboratory of Solid State Physics, Materials Science CenterUniversity of GroningenGroningenThe Netherlands

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