Effect of Strong Correlation on a Mixed Valence System

  • Kazuo Ueda
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 29)


In recent years a great deal of research has been done on some rare-erath metals and their compounds which show the mixed valence or valence fluctuating phenomena [1], Properties of this kind of materials are full of variety from material to material. Among them, in this paper we consider the case where one configuration is magnetic, e.g. \( {\text{Sm}}^3+\left(^6 {\text{H}}_{5 \mathord{\left/ {\vphantom {5 2}} \right. 2}}\right) \) and \( {\text{Ce}}^3+\left(^2 {\text{F}}_{5 \mathord{\left/ {\vphantom {5 2}} \right. 2}}\right) \) , and the other is nonmagnetic, e.g. \( {\text{Sm}}^2+\left(^7 {\text{F}}_0\right) \) and \( {\text{Ce}}^4+\left(^1{\text{S}}_0\right) \) . Magnetic property of this class of materials has a characteristic feature. At high temperatures susceptibility is expressed by the formula
$$ {\text{X = C}}_{\text{I}} {\text{X}}_{\text{I}} {\text{ + C}}_{\text{II}} {\text{X}}_{\text{II}}, $$
where XI(XII) is the susceptibility expected for one valence state and CI(CII) is its fraction. In a word, high-temperature property is characterized by a local-moment-type behavior. On the other hand, at low temperatures the susceptibility tends to a constant and no magnetic order is observed.


Present Theory Paramagnetic State Mixed Valence Spin Susceptibility Dynamical Susceptibility 
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  1. 1.
    See for example, Valence Instabilities and Related Narrow-Band Phenomena, ed. R.D. Parks (Plenum, New York, 1977)Google Scholar
  2. 2.
    P.W. Anderson: Phys. Rev. 123(1961)41ADSCrossRefGoogle Scholar
  3. 3.
    H.J. Leder and B. Mühlschlegel: Z. Physik B29(1978)341Google Scholar
  4. 4.
    P.S. Riseborough and D.L. Mills: Phys. Rev. B21(1980)5338ADSGoogle Scholar
  5. 5.
    K. Ueda: To be published in J. Phys. Soc. JpnGoogle Scholar
  6. 6.
    K. Ueda: To be published in J. Phys. Soc. JpnGoogle Scholar
  7. 7.
    J. Kanamori: Prog. Theor. Phys. 30(1963)275ADSMATHCrossRefGoogle Scholar
  8. 8.
    K. Yamada and K. Yosida: in this bookGoogle Scholar
  9. 9.
    A.C. Hewson: J. Phys. CI0(1977)4973ADSGoogle Scholar
  10. 10.
    A. Bringer and H. Lustfeld: Z. Physik B28(1977)213ADSGoogle Scholar
  11. 11.
    E. Müller-Hartmann: Solid State Commun. 31(1979)113ADSCrossRefGoogle Scholar
  12. 12.
    T.K. Lee and S. Chakravarty: Phys. Rev. B22(1980)3609ADSGoogle Scholar
  13. 13.
    K. Ueda and Y. Ishii: To be publishedGoogle Scholar
  14. 14.
    T. Moriya and A. Kawabata: J. Phys. Soc. Jpn 34(1973)639, 35(1973)669 and Proc. Int. Conf-. on Magnetism, 1973, Moscow, IV, 5ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Kazuo Ueda
    • 1
  1. 1.Department of Applied PhysicsUniversity of TokyoTokyo, 113Japan

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