Interaction of Anderson impurities with high orbital angular momenta: Non-RKKY behavior and instability of Kondo lattice

  • A. S. Ioselevich
Condensed Matter


The hybridization-induced interaction of Anderson impurities with orbital angular momentum l is revisited. At short distances R<R c ∝(l+1)/k F the interaction has antiferromagnetic sign and decays as (R c /R)4l. At larger distances R>R c the RKKY-like oscillatory interaction sets in. As l increases, the system will sooner or later enter the “short-distance” domain, where the intersite magnetic interaction dominates over the screening processes. This means that, contrary to previous expectations, the nonmagnetic state of the Anderson lattice is unstable at l→∞.

PACS numbers



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P. W. Anderson, Phys. Rev. 124, 41 (1961).ADSMathSciNetGoogle Scholar
  2. 2.
    A. C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge University Press, 1993.Google Scholar
  3. 3.
    D. M. Newns and N. Read, Adv. Phys. 36, 799 (1987).CrossRefADSGoogle Scholar
  4. 4.
    R. Jullien, J. M. Fields, and S. Doniach, Phys. Rev. B 16, 4889 (1977).CrossRefADSGoogle Scholar
  5. 5.
    B. Coqblin and J. R. Schrieffer, Phys. Rev. 185, 847 (1969).CrossRefADSGoogle Scholar
  6. 6.
    R. Siemann and B. R. Cooper, Phys. Rev. Lett. 44, 1015 (1980).CrossRefADSGoogle Scholar
  7. 7.
    J. M. Wills and B. R. Cooper, Phys. Rev. B 36, 3809 (1987).CrossRefADSGoogle Scholar
  8. 8.
    L. C. Andreani and H. Beck, Phys. Rev. B 48, 7322 (1993).CrossRefADSGoogle Scholar
  9. 9.
    P. Coleman, Phys. Rev. B 28, 5255 (1983).CrossRefADSGoogle Scholar
  10. 10.
    N. Read, D. M. Newns, and S. Doniach, Phys. Rev. B 30, 3841 (1984).CrossRefADSGoogle Scholar
  11. 11.
    A. J. Millis and P. A. Lee, Phys. Rev. B 35, 3394 (1987).ADSGoogle Scholar
  12. 12.
    S. Doniach, Phys. Rev. B 35, 1814 (1987).CrossRefADSGoogle Scholar
  13. 13.
    T. Kasuya, in Magnetism, edited by G. T. Rado and H. Suhl, Academic Press, New York, 1966, Vol. IIB, p. 215.Google Scholar
  14. 14.
    J. R. Schrieffer and P. A. Wolff, Phys. Rev. 149, 491 (1966).CrossRefADSGoogle Scholar
  15. 15.
    P. W. Anderson, in: Magnetism, Ed. G. T. Rado and H. Suhl, Academic Press, New York, 1963, vol. I, p. 25.Google Scholar
  16. 16.
    B. Coqblin, The Electronic Structure of Rare-Earth Metals and Alloys, Academic Press, New York, 1977.Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 1998

Authors and Affiliations

  • A. S. Ioselevich
    • 1
    • 2
  1. 1.Landau Institute of Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Institut für Theoretische PhysikRWTH AachenAachenGermany

Personalised recommendations