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Spin Fluctuations in Itinerant Electron Magnetism pp 109–128Cite as

Local Magnetic Moments

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 56))

Abstract

We now turn to the local moment theories which form another mainstream of the theoretical developments in magnetism. We start with a very brief summary of the picture of magnetic insulators, for which the local moment theory is well established, and touch upon the metal-insulator (Mott) transition and the s-d or s-f model for the rare-earth metals and dilute alloys. Then follows a summary of the Friedel-Anderson theory of local moment formation in metals, subsequent theories of the interaction between a pair of local moments and various early attempts toward a local moment theory of magnetic transition metals and alloys.

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References

  1. N. F. Mott: Proc. Phys. Soc. (London) A 62, 416 (1949)

    Article  ADS  Google Scholar 

  2. P. W. Anderson: Phys. Rev. 115, 2 (1959)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. P. W. Anderson: In Solid State Physics 14, 99 (Academic, New York 1963). In Transition Metal Compounds, ed. by E. R. Schatz ( Gordon and Breach, London 1964 ), p. 17

    Google Scholar 

  4. D. C. Mattis: The Theory of Magnetism, Vol. 1, Springer Ser. Solid-State Sci, Vol. 17 ( Springer, Berlin, Heidelberg 1981 )

    Google Scholar 

  5. J. C. Slater: Phys. Rev. 82, 538 (1951)

    Article  ADS  Google Scholar 

  6. J. Hubbard: Proc. R. Soc. A 276, 238 (1963);

    Google Scholar 

  7. J. Hubbard: Proc. R. Soc. A 281, 401 (1964)

    Google Scholar 

  8. C. Herring: In Magnetism IV, ed. by G. T. Rado, H. Suhl ( Academic, New York 1966 )

    Google Scholar 

  9. A. Kawabata: Prog. Theor. Phys. 48, 1793 (1972)

    Article  ADS  Google Scholar 

  10. W. F. Brinkman, T. M. Rice: Phys. Rev. B 2, 4302 (1970)

    Google Scholar 

  11. M. C. Gutzwiller: Phys. Rev. A 134, 923 (1964); A 137, 1726 (1965)

    MathSciNet  Google Scholar 

  12. For application of the Gutzwiller method to antiferromagnets see T. Ogawa, K. Kan-da, T. Matsubara: Prog. Theor. Phys. 53, 614 (1975);

    Article  Google Scholar 

  13. F. Takano, M. Uchinami: Prog. Theor. Phys. 53, 1267 (1975)

    Article  ADS  Google Scholar 

  14. For a review of theoretical and experimental studies of the Mott transition see: N. F. Mott: Metal-Insulator Transitions ( Taylor and Francis, London 1974 )

    Google Scholar 

  15. P. Wachter, H. Boppart (eds.): Valence Instabilities ( North-Holland, Amsterdam 1982 );

    Google Scholar 

  16. G. R. Stewart: Rev. Mod. Phys. 56, 755 (1984)

    Article  ADS  Google Scholar 

  17. M. Cyrot: J. Phys. (Paris) 33, 125 (1972); Philos. Mag. 25, 1031 (1972)

    Google Scholar 

  18. M. Cyrot, P. Lacour-Gayet: Solid State Commun. 11, 1767 (1972)

    Article  ADS  Google Scholar 

  19. S. V. Vonsovsky: Zh. Eksp. Theor. Fiz. (Soy. Phys.-JETP) 16, 981 (1964);

    Google Scholar 

  20. S. V. Vonsovsky: J. Phys. (USSR) 10, 468 (1964)

    Google Scholar 

  21. C. Zener: Phys. Rev. 81, 440 (1951); 83, 299 (1951)

    Article  ADS  Google Scholar 

  22. H. Fröhlich, F. R. N. Nabarro: Proc. R. Soc (London) A 175, 382 (1940)

    Article  ADS  MATH  Google Scholar 

  23. M. A. Ruderman, C. Kittel: Phys. Rev. 96, 99 (1954)

    Article  ADS  Google Scholar 

  24. T. Kasuya: Prog. Theor. Phys. 16, 45 (1956)

    Article  ADS  MATH  Google Scholar 

  25. K. Yosida: Phys. Rev. 106, 893 (1957)

    Article  ADS  Google Scholar 

  26. K. Yosida: In Progress in Low Temperature Physics IV, ed. by C. J. Gorter ( North-Holland, Amsterdam 1964 ), p. 265

    Google Scholar 

  27. R. J. Elliott: In Magnetism, II A, ed.by G. T. Rado and H. Suhl ( Academic, New York 1965 ), p. 385

    Google Scholar 

  28. T. Moriya: Prog. Theor. Phys. 34, 329 (1965)

    Article  ADS  Google Scholar 

  29. J. Friedel: Can. J. Phys. 34, 1190 (1956), Nuovo Cimento Suppl. 7 287 (1958)

    Article  Google Scholar 

  30. T. Moriya: Prog. Theor. Phys. 33, 157 (1965); In Theory of Magnetism in Transition Metal, Proc. Int. School of Phys. Enrico Fermi, Vol. 37, ed. by W. Marshall ( Academic, New York 1967 ), p. 206

    Google Scholar 

  31. L. Dworin, A. Narath: Phys. Rev. Lett. 25, 1287 (1970)

    Article  ADS  Google Scholar 

  32. A. M. Clogston, B. T. Matthias, M. Peter, H. J. Williams, E. Corenzwit, R. C. Sherwood: Phys. Rev. 125, 541 (1962)

    Article  ADS  Google Scholar 

  33. P. W. Anderson, A. M. Clogston: Bull. Am. Phys. Soc. 6, 124 (1961)

    Google Scholar 

  34. J. R. Schrieffer, P. A. Wolff: Phys. Rev. 149, 491 (1966)

    Article  ADS  Google Scholar 

  35. P. A. Wolff: Phys. Rev. 124, 1030 (1961)

    Article  ADS  Google Scholar 

  36. A. M. Clogston: Phys. Rev. 125, 439 (1961)

    Article  ADS  Google Scholar 

  37. A. Blandin, P. Lederer: Proc. Intern. Conf. on Magnetism, Nottingham 1964 (Institute of Physics, London 1964), p. 71; Philos. Mag. 14, 363 (1966)

    Google Scholar 

  38. J. Kondo: Prog. Theor. Phys. 32, 37 (1964)

    Article  ADS  Google Scholar 

  39. For a review see H. Suhl (ed.): Magnetism V (Academic, New York 1973); K. G. Wilson: Rev. Mod. Phys. 47, 773 (1975);

    Google Scholar 

  40. N. Andrei, K. Furuya, J. H. Lowenstein: Rev. Mod. Phys. 55, 331 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  41. J. R. Schrieffer, W. E. Evenson, S. Q. Wang: J. Phys. (Paris) 32 Cl (1971) and references therein

    Google Scholar 

  42. H. R. Krishna-Murthy, J. W. Wilkins, K. G. Wilson: Phys. Rev. 21, 1003, 1044 (1980); A B. Tsvelick, P. B. Wiegmann: Adv. Phys. 32, 453 (1983)

    Google Scholar 

  43. S. Alexander, P. W. Anderson: Phys. Rev. A 133, 1594 (1964)

    Google Scholar 

  44. M. Inoue, T. Moriya: Prog. Theor. Phys. 38, 41 (1967)

    Article  ADS  Google Scholar 

  45. K. Hirai, J. Kanamori: J. Phys. Soc. Jpn. 50, 2265 (1981)

    Article  ADS  Google Scholar 

  46. B. Caroli: J. Phys. Chem. Solids 28, 1427 (1967)

    Article  ADS  Google Scholar 

  47. G. F. Koster: Phys. Rev. 95, 1436 (1954)

    Article  ADS  MATH  Google Scholar 

  48. A. Blandin: J. Phys. Radium 22, 507 (1961)

    Article  MATH  Google Scholar 

  49. M. Lacour-Gayet, M. Cyrot: J. Phys. C 7, 400 (1974)

    Google Scholar 

  50. T. Moriya: J. Magn. Magn. Mater. 14, 1 (1979)

    Article  ADS  Google Scholar 

  51. T. Moriya, H. Hasegawa: J. Phys. Soc. Jpn. 48, 1490 (1980)

    Article  ADS  Google Scholar 

  52. J. Friedel, G. Leman, M. Olszewski: J. Appl. Phys. 32, 325 S (1961) 6.48 S. Asano, J. Yamashita: Prog. Theor. Phys. 49, 373 (1973)

    Google Scholar 

  53. V. Heine and J. H. Samson: J. Phys. F 10, 2609 (1980)

    Article  ADS  Google Scholar 

  54. V. Heine, J. H. Samson, C. M. N. Nex: J. Phys. F 11, 2645 (1981)

    Google Scholar 

  55. R. L. Stratonovich: Sov. Phys.-Dokl. 2, 416 (1957)

    ADS  MATH  Google Scholar 

  56. J. Hubbard: Phys. Rev. Lett. 3, 77 (1959)

    Article  ADS  Google Scholar 

  57. H. Capellmann: J. Phys. F 4, 1466 (1974);

    Google Scholar 

  58. H. Capellmann: Z. Phys. B 34, 29 (1979)

    Google Scholar 

  59. J. Hubbard: Phys. Rev. B 19, 2626 (1979)

    Google Scholar 

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Authors and Affiliations

  1. Institute of Solid State Physics, University of Tokyo, Roppongi, Minato-ku, Tokyo 106, Japan

    Professor Tôru Moriya

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  1. Professor Tôru Moriya
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© 1985 Springer-Verlag Berlin Heidelberg

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Moriya, T. (1985). Local Magnetic Moments. In: Spin Fluctuations in Itinerant Electron Magnetism. Springer Series in Solid-State Sciences, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82499-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-82499-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82501-9

  • Online ISBN: 978-3-642-82499-9

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