Exact Solution of the Anderson Model and Its Thermodynamics II — Including Crystalline Field and Spin-Orbit Coupling

  • N. Kawakami
  • A. Okiji
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 62)

Abstract

The thermodynamic properties of the highly correlated degenerate Anderson model are discussed on the basis of the Bethe-ansatz method, in the presence of the crystalline field and the spin-orbit coupling. The properties of the specific heat are investigated in detail, as a typical example, for the case of Ce impurities in a cubic crystalline field. The analytic expressions are given for the Fermi-liquid relation, the coefficient of the T-linear specific heat and the effective Kondo temperature. The curve of the temperature-dependent specific heat is shown to become asymmetric and have a shoulder structure when the splitting of the crystalline field is increased.

Keywords

Hexagonal Convolution CeCu 

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References

  1. 1.
    A. Okiji and N. Kawakami: in this volume.Google Scholar
  2. 2.
    A.M. Tsvelick and P.B. Wiegmann: J. Phys. C15, 1707 (1982)ADSGoogle Scholar
  3. 3.
    A.C. Hewson and J.W. Rasul: J. Phys. C16, 6799 (1983)ADSGoogle Scholar
  4. 4.
    V.T. Rajan: Phys. Rev. Lett. 51, 308 TV983)Google Scholar
  5. 5.
    P. Schlottmann: Phys. Rev. Lett. 50, 1697 (1983)CrossRefADSGoogle Scholar
  6. 6.
    N. Kawakami, S. Tokuono and A. Okiji: J. Phys. Soc. Jpn. 53, 51 (1984)CrossRefADSGoogle Scholar
  7. 7.
    N. Kawakami and A. Okiji: Phys. Lett. 103A, 205 (1984)CrossRefGoogle Scholar
  8. 8.
    P. Schlottmann: Z. Phys. B57, 23 (19841Google Scholar
  9. 9.
    D.M. Newns and A.C. Hewson: J. Phys. F10, 2429 (1980)CrossRefADSGoogle Scholar
  10. 10.
    I. Okada and K. Yosida: Prog. Theor. Phys. 49, 1483 (1973)CrossRefADSGoogle Scholar
  11. 11.
    A. Ogawa and A. Yoshimori: Prog. Theor. Phys. 53, 315 (1975)CrossRefADSGoogle Scholar
  12. 12.
    K. Yamada, K. Yosida and K. Hanzawa: Prog. Theor. Phys. 71, 450 (1984)CrossRefADSGoogle Scholar
  13. 13.
    P. Nozieres and A. Blandin: J. Physique 41, 193 (1980)Google Scholar
  14. 14.
    P. Schlottmann: Z. Phys. B55, 293 (1984); Phys. Rev. B30, 1545 (1984)ADSGoogle Scholar
  15. 15.
    N. Kawakami and A. Okiji: J. Phys. Soc. Jpn. 54, 685 T1985 )Google Scholar
  16. 16.
    N. Kawakami and A. Okiji: to be published.Google Scholar
  17. 17.
    C.N. Yang: Phys. Rev. Lett. 19, 1312 (1967)CrossRefMATHADSMathSciNetGoogle Scholar
  18. 18.
    B. Sutherland: Phys. Rev. Lett. 20, 98 (1967)CrossRefADSGoogle Scholar
  19. 19.
    If we rewrite Eqs. (4.12) and (4.13) with the band cut-off parameter, the results are in accordance with those obtained in refs.12 and 14.Google Scholar
  20. 20.
    F. Steglich, C.D. Bredl, W. Lieke, U. Rauchschwalbe and G. Sparn: Physica 126B, 82 (1984); F. Steglich: private communication.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • N. Kawakami
    • 1
  • A. Okiji
    • 1
  1. 1.Department of Applied PhysicsOsaka UniversitySuita, Osaka 565Japan

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