Advertisement

Magnetism of Disordered Alloys

  • Yoshiro Kakehashi
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 175)

Abstract

Chapter 8 is concerned with the magnetism of the Slater–Pauling (SP) curves for binary 3d transition-metal alloys. We first argue the SP curves from a view point of the rigid band model. Next we introduce the coherent potential approximation (CPA) to describe the electronic structure of the disordered alloys, and show that the Hartree–Fock CPA scheme with reduced Coulomb interactions successfully explains the SP curves in the concentrated region. We then extend the theory to the finite temperatures using the SSF (the dynamical CPA in the high temperature approximation). The alloys such as the Ni–Cu, Ni–Mn, and Fe–Ni show strong disturbance of local magnetic moments (LM’s) due to the local atomic configuration, which is referred as the local environment effects (LEE). We present theories of the LEE both at the ground state and at finite temperatures. With use of these theories, we elucidate the LEE on the LM’s, the formation of the SG, the SP curves, as well as the Curie temperature SP curves in 3d transition metal alloys. The finite-temperature theory of the LEE relies on the distribution of LM’s, so that the spin arrangement in the real space is not clear. We therefore introduce the molecular-dynamics (MD) approach to the disordered magnetic alloys and explain the complex magnetic structure in Fe–Cr alloys as an example.

Keywords

Near Neighbor Local Moment Local Magnetic Moment Coherent Potential Approximation Spin Glass 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 9.
    J. Hubbard, Proc. R. Soc. Lond. A 276, 238 (1963) ADSCrossRefGoogle Scholar
  2. 10.
    J. Hubbard, Proc. R. Soc. Lond. A 281, 401 (1964) ADSCrossRefGoogle Scholar
  3. 51.
    H. Ehrenreich, L.M. Schwartz, in Solid State Physics, vol. 31, ed. by H. Ehrenreich, F. Seitz, D. Turnbull (Academic, New York, 1976) Google Scholar
  4. 108.
    Y. Kakehashi, S. Akbar, N. Kimura, Phys. Rev. B 57, 8354 (1998) ADSCrossRefGoogle Scholar
  5. 109.
    Y. Kakehashi, S. Akbar, N. Kimura, in Itinerant Electron Magnetism: Fluctuation Effects, ed. by D. Wagner et al. (Kluwer, Amsterdam, 1998) Google Scholar
  6. 146.
    R.M. Bozorth, Ferromagnetism (Van Nostrand, Princeton, 1968) Google Scholar
  7. 147.
    J. Friedel, Suppl. Nuovo Cim. 7, 287 (1958) CrossRefGoogle Scholar
  8. 148.
    N.F. Mott, Adv. Phys. 13, 325 (1964) ADSCrossRefGoogle Scholar
  9. 149.
    H. Hasegawa, J. Kanamori, J. Phys. Soc. Jpn. 33, 1599 (1972) ADSCrossRefGoogle Scholar
  10. 150.
    H. Hasegawa, J. Kanamori, J. Phys. Soc. Jpn. 33, 1607 (1972) ADSCrossRefGoogle Scholar
  11. 151.
    H. Shiba, Prog. Theor. Phys. 46, 77 (1971) ADSCrossRefGoogle Scholar
  12. 152.
    H. Hasegawa, J. Phys. Soc. Jpn. 50, 802 (1981) ADSCrossRefGoogle Scholar
  13. 153.
    M. Fallot, Ann. Phys. Paris 6, 305 (1936) Google Scholar
  14. 154.
    A.T. Aldred, Phys. Rev. B 14, 219 (1976) ADSCrossRefGoogle Scholar
  15. 155.
    C.G. Shull, M.K. Wilkinson, Phys. Rev. 97, 304 (1955) ADSCrossRefGoogle Scholar
  16. 156.
    M.F. Collins, G.G. Low, Proc. Phys. Soc. 86, 535 (1965) ADSCrossRefGoogle Scholar
  17. 157.
    G.H. Lander, L. Heaton, J. Phys. Chem. Solids 32, 427 (1971) ADSCrossRefGoogle Scholar
  18. 158.
    A.T. Aldred, B.D. Rainford, J.S. Kouvel, T.J. Hicks, Phys. Rev. B 14, 228 (1976) ADSCrossRefGoogle Scholar
  19. 159.
    C. Sadron, Ann. Phys. (Paris) 371 (1932) Google Scholar
  20. 160.
    H.C. Van Elst, B. Lubach, G.J. Van Den Berg, Physica 28, 1297 (1962) ADSCrossRefGoogle Scholar
  21. 161.
    R. Chiffery, T.J. Hicks, Phys. Lett. A 34, 267 (1971) ADSCrossRefGoogle Scholar
  22. 162.
    Y. Kakehashi, J. Phys. Soc. Jpn. 50, 2236 (1981) ADSCrossRefGoogle Scholar
  23. 163.
    S. Ishio, K. Nushiro, M. Takahashi, J. Phys. F, Met. Phys. 16, 1093 (1986) ADSCrossRefGoogle Scholar
  24. 164.
    M.F. Collins, J.B. Forsyth, Philos. Mag. 8, 401 (1963) ADSCrossRefGoogle Scholar
  25. 165.
    Y. Kakehashi, J. Phys. Soc. Jpn. 51, 3183 (1982) ADSCrossRefGoogle Scholar
  26. 166.
    Y. Nakagawa, J. Phys. Soc. Jpn. 12, 700 (1957) ADSCrossRefGoogle Scholar
  27. 167.
    V.I. Chechernikov, Sov. Phys. JETP 15, 659 (1962) Google Scholar
  28. 168.
    H. Miwa, Prog. Theor. Phys. 52, 1 (1974) ADSCrossRefGoogle Scholar
  29. 169.
    N. Hamada, H. Miwa, Prog. Theor. Phys. 59, 1045 (1977) ADSCrossRefGoogle Scholar
  30. 170.
    Y. Kakehashi, J. Phys. Soc. Jpn. 51, 94 (1982) ADSCrossRefGoogle Scholar
  31. 171.
    Y. Kakehashi, J. Magn. Magn. Mater. 37, 189 (1983) ADSCrossRefGoogle Scholar
  32. 172.
    Y. Kakehashi, J. Magn. Magn. Mater. 43, 79 (1984) ADSCrossRefGoogle Scholar
  33. 173.
    N. Hamada, J. Phys. Soc. Jpn. 50, 77 (1981) ADSCrossRefGoogle Scholar
  34. 174.
    S.A. Ahern, M.J.C. Martin, W. Sucksmith, Proc. R. Soc. Lond. A 248, 145 (1958) ADSCrossRefGoogle Scholar
  35. 175.
    C.G. Robbins, H. Claus, P.A. Beck, J. Appl. Phys. 40, 2269 Google Scholar
  36. 176.
    R.A. Medina, J.W. Cable, Phys. Rev. B 15, 1539 (1977) ADSCrossRefGoogle Scholar
  37. 177.
    Y. Kakehashi, J. Phys. Soc. Jpn. 50, 1505 (1981) ADSCrossRefGoogle Scholar
  38. 178.
    S. Alexander, P.W. Anderson, Phys. Rev. A 133, 1954 (1964) Google Scholar
  39. 179.
    T. Moriya, Prog. Theor. Phys. 33, 157 (1965) ADSzbMATHCrossRefGoogle Scholar
  40. 180.
    F. Matsubara, M. Sakata, Prog. Theor. Phys. 55, 672 (1972) ADSCrossRefGoogle Scholar
  41. 181.
    S. Katsura, S. Fujiki, S. Inawashiro, J. Phys. C 12, 2839 (1979) ADSCrossRefGoogle Scholar
  42. 182.
    S. Kaya, A. Kussman, Z. Phys. 72, 293 (1931) ADSCrossRefGoogle Scholar
  43. 183.
    S. Kaya, N. Nakayama, Proc. Phys. Math. Soc. Jpn. 22, 126 (1940) Google Scholar
  44. 184.
    M.J. Marcinkowski, N. Brown, J. Appl. Phys. 32, 375 (1961) ADSCrossRefGoogle Scholar
  45. 185.
    W. Abdul-Razzaq, J.S. Kouvel, Phys. Rev. B 35, 1764 (1987) ADSCrossRefGoogle Scholar
  46. 186.
    A.J. Gyozalyan, J. Contemp. Phys. 42, 248 (2007) CrossRefGoogle Scholar
  47. 187.
    J.W. Cable, H.R. Child, Phys. Rev. B 10, 605 (1974) CrossRefGoogle Scholar
  48. 188.
    H. Tange, T. Tokunaga, M. Goto, J. Phys. Soc. Jpn. 45, 105 (1978) ADSCrossRefGoogle Scholar
  49. 189.
    M. Shiga, Y. Nakamura, J. Magn. Magn. Mater. 40, 319 (1984) ADSCrossRefGoogle Scholar
  50. 190.
    J. Crangle, G.C. Hallam, Proc. R. Soc. Lond. 272, 119 (1963) ADSCrossRefGoogle Scholar
  51. 191.
    E.F. Wasserman, in Ferromagnetic Materials, vol. 5, ed. by K.H.J. Buschow, E.P. Wohlfarth (North-Holland, Amsterdam, 1990), p. 237 Google Scholar
  52. 192.
    Y. Kakehashi, Phys. Rev. B 38, 474 (1988) ADSCrossRefGoogle Scholar
  53. 193.
    M.F. Collins, R.V. Jones, R.D. Lowde, J. Phys. Soc. Jpn. 17, 19 (1962) CrossRefGoogle Scholar
  54. 194.
    Y. Bando, J. Phys. Soc. Jpn. 19, 237 (1964) ADSCrossRefGoogle Scholar
  55. 195.
    Y. Kakehashi, Prog. Theor. Phys. Suppl. 101, 105 (1990) ADSCrossRefGoogle Scholar
  56. 196.
    A.Z. Menshikov, E.E. Yarchikov, Sov. Phys. JETP 36, 100 (1973) ADSGoogle Scholar
  57. 197.
    M. Shiga, Y. Nakamura, J. Phys. F, Met. Phys. 8, 177 (1978) ADSCrossRefGoogle Scholar
  58. 198.
    Y. Kakehashi, Phys. Rev. B 35, 4973 (1987) ADSCrossRefGoogle Scholar
  59. 199.
    Y. Kakehashi, O. Hosohata, Phys. Rev. B 40, 9080 (1989) ADSCrossRefGoogle Scholar
  60. 200.
    Y. Muraoka, T. Fujiwara, M. Shiga, Y. Nakamura, J. Phys. Soc. Jpn. 50, 3284 (1981) ADSCrossRefGoogle Scholar
  61. 201.
    N. Kimura, Y. Kakehashi, Found. Phys. 30, 2079 (2000) CrossRefGoogle Scholar
  62. 202.
    B. Loegel, J. Phys. F, Met. Phys. 5, 497 (1975) ADSCrossRefGoogle Scholar
  63. 203.
    V.E. Rode, S.A. Finkelberg, A.I. Lyalin, J. Magn. Magn. Mater. 31–34, 293 (1983) CrossRefGoogle Scholar
  64. 204.
    S.K. Burke, B.D. Rainford, J. Phys. F, Met. Phys. 13, 441 (1983) ADSCrossRefGoogle Scholar
  65. 205.
    S.K. Burke, B.D. Rainford, J. Phys. F, Met. Phys. 8, L239 (1978) ADSCrossRefGoogle Scholar
  66. 206.
    S.K. Burke, B.D. Rainford, J. Phys. F, Met. Phys. 13, 471 (1983) ADSCrossRefGoogle Scholar
  67. 207.
    S.M. Dubiel, Ch. Sauer, W. Zinn, Phys. Rev. B 30, 6285 (1984) ADSCrossRefGoogle Scholar
  68. 208.
    S.M. Dubiel, Ch. Sauer, W. Zinn, Phys. Status Solidi (b) 140, 191 (1987) ADSCrossRefGoogle Scholar
  69. 209.
    J. Friedel, L.E. Hedman, J. Phys. 39, 1225 (1978) CrossRefGoogle Scholar
  70. 210.
    F. Kajzar, G. Parette, Phys. Rev. B 22, 5471 (1980) ADSCrossRefGoogle Scholar
  71. 211.
    F. Kajzar, G. Parette, Phys. Rev. B 20, 2002 (1979) ADSCrossRefGoogle Scholar
  72. 212.
    G. Frollani, F. Menzinger, F. Sacchetti, Phys. Rev. 175, 747 (1968) CrossRefGoogle Scholar
  73. 213.
    T. Uchida, Y. Kakehashi, N. Kimura, J. Magn. Magn. Mater. 310, 1809 (2007) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Yoshiro Kakehashi
    • 1
  1. 1.Faculty of Science, Department of PhysicsUniversity of the RyukyusNishiharaJapan

Personalised recommendations