Bethe Ansatz Treatment of the Anderson Model for a Single Impurity

  • A. Okiji
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 77)

Abstract

The exact solut ion of the Anderson model for a single impurity in metals is reviewed in this article.

Keywords

Anisotropy Hexagonal Convolution Haldane Olid 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P.W. Anderson: Phys. Rev. 124, 41 (1961)CrossRefADSMathSciNetGoogle Scholar
  2. 2.
    See, e.g. Crystalline Field and Anomalous Mixing Effects in f-electron Systems, ed. by T. Kasuya (North-Holland, Amsterdam 1985)Google Scholar
  3. 3.
    See, e.g. Springer Series in Solid-State Sciences 59 (1985)Google Scholar
  4. 4.
    H.R. Krishna-murthy, J.W. Wilkins and K.G. Wilson: Phys. Rev. B21, 1003, 1044 (1980)ADSGoogle Scholar
  5. 5.
    A.M. Tsvelick and P.B. Wiegmann: Adv. Phys. 32, 453 (1983)CrossRefADSGoogle Scholar
  6. 6.
    A. Okiji and N. Kawakami: J. Appl. Phys. 55, 453 (1984); Springer Series in Solid-State Sciences 62, 46 (1985)CrossRefGoogle Scholar
  7. 7.
    K.G. Wilson: Rev. Mod. Phys. 47, 773 (1975) N. Andrei, K. Furuya and J.H. Lowenstein: Rev. Mod. Phys. 55, 331 (1983)CrossRefADSGoogle Scholar
  8. 8.
    C.N. Yang: Phys. Rev. Lett. 19, 1312 (1967)CrossRefMATHADSMathSciNetGoogle Scholar
  9. 9.
    P.B. Wiegmann: Phys. Lett. 80A, 163 (1980)ADSMathSciNetGoogle Scholar
  10. 10.
    N. Kawakami and A. Okiji: Phys. Lett. 86A, 483 (1981)ADSMathSciNetGoogle Scholar
  11. 11.
    N. Kawakami and A. Okiji: J. Phys. Soc. Jpn. 51, 1145, 2043 (1982) A. Okiji and N. Kawakami: J. Phys. Soc. Jpn. 51, 3192 (1982) P.B. Wiegmann and A.M. Tsvelick: J. Phys. C16, 2281 (1983)CrossRefADSMathSciNetGoogle Scholar
  12. 12.
    A. Okiji and N. Kawakami: Solid State Commun. 43, 365 (1982) P.B. Wiegmann, V.M. Filyov and A.M. Tsvelick: Sov. Phys. JETP Lett. 35, 92 (1982)CrossRefADSGoogle Scholar
  13. 13.
    K. Yosida and K. Yamada: Prog. Theor. Phys. Suppl. 46, 244 (1970) K. Yamada: Prog. Theor. Phys. 53, 970 (1975)CrossRefADSGoogle Scholar
  14. 14.
    See, e.g. K. Yosida and A. Yoshimori: Magnetism V, ed. by H. Suhl (Academic Press, New York 1973) p.253Google Scholar
  15. 15.
    K. Ueda and W. Apel: J. Phys. C16, L849 (1983)ADSGoogle Scholar
  16. 16.
    V. Zlatic and B. Horvatic: Phys. Rev. B28, 6904 (1983)ADSGoogle Scholar
  17. 17.
    H. Ishii and K. Yosida: Prog. Theor. Phys. 38, 61 (1967)CrossRefADSGoogle Scholar
  18. 18.
    J.R. Schrieffer and P.A. Wolff: Phys. Rev. 149, 491 (1966)CrossRefADSGoogle Scholar
  19. 19.
    N. Andrei: Phys. Rev. Lett. 45, 379 (1980) P.B. Wiegmann: J. Phys. C14, 1463 (1981)CrossRefADSGoogle Scholar
  20. 20.
    N. Kawakami and A. Okiji: Solid State Commun. 43, 467 (1982) V.M. Filyov, A.M. Tsvelick and P.B. Wiegmann: Phys. Lett. 89A, 157 (1982)CrossRefADSGoogle Scholar
  21. 21.
    See, e.g. H.B. Thacker: Rev. Mod. Phys. 53, 253 (1981)CrossRefADSMathSciNetGoogle Scholar
  22. 22.
    A.M. Tsvelick and P.B. Wiegmann: Phys. Lett. 89A, 368 (1982); J. Phys. C16, 2321 (1983) N. Kawakami and A. Okiji: J. Phys. Soc. Jpn. 52, 1119 (1983)ADSGoogle Scholar
  23. 23.
    A. Okiji and N. Kawakami: Phys. Rev. Lett. 50, 1157 (1983)CrossRefADSGoogle Scholar
  24. 24.
    N. Kawakami and A. Okiji: Phys. Lett. 98A, 54 (1983); Phys. Rev. Lett. 51, 2011 (1983)ADSGoogle Scholar
  25. 25.
    A.M. Tsvelick and P.B. Wiegmann: J. Phys. C15, 1707 (1982)ADSGoogle Scholar
  26. 26.
    N. Kawakami and A. Okiji: Springer Series in Solid-State Sciences 62, 57 (1985) P. Schlottmann: Springer Series in Sol id-State Sciences 62, 68 (1985) A. Okiji and N. Kawakami: J. Magn. Magn. Mat. 54-57, 327 (1986)CrossRefGoogle Scholar
  27. 27.
    A.C. Hewson and J.W. Rasul: J. Phys. C16, 6799 (1983)ADSGoogle Scholar
  28. 28.
    V.T. Rajan: Phys. Rev. Lett. 51, 308 (1983)CrossRefADSGoogle Scholar
  29. 29.
    P. Schlottmann: Phys. Rev. Lett. 50, 1697 (1983); Z. Phys. B51, 49 (1983)CrossRefADSGoogle Scholar
  30. 30.
    N. Kawakami, S. Tokuono and A. Okiji: J. Phys. Soc. Jpn. 53, 51 (1984)CrossRefADSGoogle Scholar
  31. 31.
    N. Kawakami and A. Okiji: Phys. Lett. 103A, 205 (1984)ADSGoogle Scholar
  32. 32.
    P. Schlottmann: Z. Phys. B57, 23 (1984)CrossRefADSGoogle Scholar
  33. 33.
    D.M. Newns and A.C. Hewson: J. Phys. F10, 2429 (1980)CrossRefADSGoogle Scholar
  34. 34.
    P. Schlottmann: Z. Phys. B55, 293 (1984); Phys. Rev. B30, 1545 (1984)CrossRefADSGoogle Scholar
  35. 35.
    N. Kawakami and A. Okiji: J. Phys. Soc. Jpn. 54, 685 (1985)CrossRefADSGoogle Scholar
  36. 36.
    N. Kawakami and A. Okiji: J. Magn. Magn. Mat. 52, 220 (1985)CrossRefADSGoogle Scholar
  37. 37.
    I. Okada and K. Yosida: Prog. Theor. Phys. 49, 1483 (1973)CrossRefADSGoogle Scholar
  38. 38.
    A. Ogawa and A. Yoshimori: Prog. Theor. Phys. 53, 315 (1975)CrossRefADSGoogle Scholar
  39. 39.
    K. Yamada, K. Yosida and K. Hanzawa: Prog. Theor. Phys. 71, 450 (1984)CrossRefADSGoogle Scholar
  40. 40.
    A. Yoshimori: Prog. Theor. Phys. 55, 67 (1976) P. Nozieres and A. Blandin: J. Physique 41, 193 (1980)CrossRefADSGoogle Scholar
  41. 41.
    B. Sutherland: Phys. Rev. Lett. 20, 98 (1967)CrossRefADSGoogle Scholar
  42. 42.
    E. Ogievetski, A.M. Tsvelick and P.B. Wiegmann: J. Phys. C16, L797 (1983)ADSGoogle Scholar
  43. 43.
    H. Lustfeld and A. Bringer: Solid State Commun. 28, 119 (1978)CrossRefADSGoogle Scholar
  44. 44.
    F. Steglich, C.D. Bredl, W. Lieke, U. Rauchswalbe and G. Sparn: Physica 126B, 82 (1984)Google Scholar
  45. 45.
    N. Kawakami and A. Okiji: Phys. Lett. A115, 233 (1986)ADSGoogle Scholar
  46. 46.
    K. Hanzawa, K. Yamada and K. Yosida: J. Magn. Magn. Mat. 47, 357 (1985)CrossRefADSGoogle Scholar
  47. 47.
    A. Okiji and N. Kawakami: J. Magn. Magn. Mat. 54-57, 327 (1986)CrossRefADSGoogle Scholar
  48. 48.
    K. Yosida and K. Yamada: Prog. Theor. Phys. 53, 1286 (1975)CrossRefADSGoogle Scholar
  49. 49.
    P. Nozières: J. Low Temp. Phys. 17, 970 (1975)Google Scholar
  50. 50.
    D.M. Newns, A.C. Hewson, J.W. Rasul and N. Read: J. Appl. Phys. 53, 7877 (1982)CrossRefADSGoogle Scholar
  51. 51.
    N. Kawakami and A. Okiji: Phys. Lett. 118A, 301 (1986)ADSGoogle Scholar
  52. 52.
    D.C. Langreth: Phys. Rev. 150, 516 (1966)CrossRefADSGoogle Scholar
  53. 53.
    F.D.M. Haldane: Phys. Rev. Lett. 40, 416 (1978)CrossRefADSGoogle Scholar
  54. 54.
    N. Kawakami, T. Usuki and A. Okiji: J. Phys. Soc. Jpn. 56, 1539 (1987)CrossRefADSGoogle Scholar
  55. 55.
    J. Kondo: Prog. Theor. Phys. 34, 372 (1965)CrossRefADSGoogle Scholar
  56. 56.
    N. Kawakami and A. Okiji: Jpn. J. Appl. Phys. 26, 499 (1987)CrossRefGoogle Scholar
  57. 57.
    P. Schlottmann: J. Magn. Magn. Mat. 47-48, 367 (1985)CrossRefADSGoogle Scholar
  58. 58.
    N.B. Brant and V.V. Moshchalkov: Adv. Phys. 33, 373 (1984)CrossRefADSGoogle Scholar
  59. 59.
    A. Nakamura, N. Kawakami and A. Okiji: J. Phys. Soc. Jpn. 56, 3667 (1987); Jpn. J. Appl. Phys. 26, 501 (1987)CrossRefADSGoogle Scholar
  60. 60.
    H. Shiba: Prog. Theor. Phys. 54, 967 (1975)CrossRefADSGoogle Scholar
  61. 61.
    A.M. Muraui, K. Knorr, K.H.J. Buschow, A. Benoit and J. Floquet: Solid State Commun. 36, 523 (1980) S. Horn, E. Holland-Moritz, M. Loewenhanpt, F. Steglich, H. Schener, A. Benoit and J. Floquet: Phys. Rev. B2, 3171 (1981)CrossRefADSGoogle Scholar
  62. 62.
    Y. Kitaoka, H. Arimoto, Y. Kohori and K. Asayama: J. Phys. Soc. Jpn. 54, 3236 (1985) Y. Kitaoka, K. Fujiwara, Y. Kohori, K. Asayama, Y. Onuki and T. Komatsubara: J. Phys. Soc. Jpn. 54, 3686 (1985) M.J. Lysak and D.E. MacLaughlin: Phys. Rev. B31, 6963 (1985)CrossRefADSGoogle Scholar
  63. 63.
    E.G. d’Agliano, P. Kumar, W. Schaich and H. Suhl: Phys. Rev. B11, 2122 (1975)Google Scholar
  64. 64.
    A. Nourtier: J. Phys. (Paris) 38, 479 (1977)CrossRefGoogle Scholar
  65. 65.
    K.P. Bohnen, M. Kiwi and H. Suhl: Phys. Rev. Lett. 34, 1512 (1975)CrossRefADSGoogle Scholar
  66. 66.
    A. Yoshimori and J.L. Motchane: J. Phys. Soc. Jpn. 51, 1826 (1982)CrossRefADSGoogle Scholar
  67. 67.
    A. Okiji and H. Kasai: Suface Sci. 188, L717 (1987)CrossRefADSGoogle Scholar
  68. 68.
    P.B. Visscher: Phys. Rev. B14, 347 (1977)ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

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

Personalised recommendations