Advertisement

Disorder, Random Fields and Competing Interactions in Antiferromagnets

  • R. A. Cowley
  • R. J. Birgeneau
  • G. Shirane
  • H. Yoshizawa
Part of the NATO ASI Series book series (NSSB, volume 106)

Abstract

Neutron scattering studies of disordered antiferromagnets have proved to be a very profitable way of studying random systems. Several recent examples are selected and include a detailed study of the phase transition of a d = 3 Ising system showing a well defined transition with properties different from these of a pure d = 3 Ising system. Much of the article is then concerned with the effect of a random field on the ordering and phase transitions. It is shown that random fields do have a large effect on the critical properties and in practice destroy the long range order in the good Ising systems with d = 2 and d = 3, although not in a nearly Heisenberg-like system. These results are compared with current theories and the discrepancies discussed. Finally measurements on a system with competing interactions are discussed and shown to be strongly influenced by the random fields produced in that system.

Keywords

Domain Wall Random Field Ising Model Spin Direction Pure System 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R.A. Cowley, R.J. Birgeneau and G. Shirane, Excitations and Phase Transitions in Random Anti-Ferromagnets in ‘Ordering in Strongly Fluctuating Condensed Matter Systems’, T. Riste ed., Plenum, New York (1980)Google Scholar
  2. 2.
    A.B. Harris, J. Phys. C 7, 1671 (1974)ADSCrossRefGoogle Scholar
  3. 3.
    G. Grinstein and A. Luther, Phys. Rev. B 13, 1329 (1976)ADSCrossRefGoogle Scholar
  4. T.C. Lubensky, Phys. Rev. B 11, 3580 (10–5)Google Scholar
  5. 4.
    D.E. Khmelnitskii, Soviet Phys. JETP, 41, 981 (1976)ADSGoogle Scholar
  6. 5.
    R.J. Birgeneau, J. Als-Nielsen and G. Shirane, Phys. Rev. B 16, 280 (1977)ADSCrossRefGoogle Scholar
  7. 6.
    G.M. Meyer and O.W. Dietrich, J. Phys. C 11, 1451 (1978)ADSCrossRefGoogle Scholar
  8. R.A. Cowley and K. Carneiro, J. Phys. C 13, 3281 (1980)ADSCrossRefGoogle Scholar
  9. 7.
    R.J. Birgeneau, R.A. Cowley, G. Shirane, H. Yoshizawa,Google Scholar
  10. D.P. Belanger, A.R. King and V. Jaccarino (to be published)Google Scholar
  11. 8.
    M.T. Hutchings, B.D. Rainford and H.J. Guggenheim, J. Phys. C 3, 307 (1970)ADSCrossRefGoogle Scholar
  12. 9.
    M.T. Hutchings, M.P. Schulhof and H.J. Guggenheim, Phys. Rev. B 5, 154 (1972), G. Ahlers, A. Kornblit and M.B. Salamon, Phys. Rev. B 9, 3932 (1974)CrossRefGoogle Scholar
  13. 10.
    L.C. Le Guillou and J. Zinn-Justin, Phys. Rev. B 21, 3976 (1980)MathSciNetADSCrossRefGoogle Scholar
  14. 11.
    S.A. Newlove (to be published).Google Scholar
  15. K.E. Newman and E.K. Riedel, Phys. Rev. B 25, 264 (1982)ADSCrossRefGoogle Scholar
  16. G. Jug, Phys. Rev. B 27, 609 (1983)ADSCrossRefGoogle Scholar
  17. 12.
    Y. Imry and S. Ma, Phys. Rev. Lett. 35, 1399 (1975)ADSCrossRefGoogle Scholar
  18. 13.
    G. Grinstein, Phys. Rev. Lett., 37, 944 (1976)ADSCrossRefGoogle Scholar
  19. 14.
    G. Parisi and N. Sourlas, Phys. Rev. Lett. 43, 744 (1979)ADSCrossRefGoogle Scholar
  20. 15.
    E. Pytte, Y. Imry and D. Mukamel, Phys. Rev. Lett. 46, 1173 (1981),Google Scholar
  21. D. Mukamel and E. Pytte, Phys. Rev. B 25, 4779 (1982)ADSCrossRefGoogle Scholar
  22. H.S. Kogon and D. Wallace,. J Phys. A 14, L527 (1981)MathSciNetADSCrossRefGoogle Scholar
  23. 16.
    G. Grinstein and S. Ma, Phys. Rev. Lett. 49, 685 (1982)ADSCrossRefGoogle Scholar
  24. 17.
    A. Aharony and E. Pytte (to be published).Google Scholar
  25. 18.
    S. Fishman and A. Aharony, J. Phys. C 12, L729 (1979)ADSCrossRefGoogle Scholar
  26. 19.
    P.Z. Wong, S. Von Molnar and P. Dimon, J. Appl. Phys. 53, 7954 (1982)ADSCrossRefGoogle Scholar
  27. 20.
    J.L. Cardy (unpublished).Google Scholar
  28. 21.
    A. Aharony, Phys. Rev. B 18, 3328 (1978), Experiments on KMnxNil-XF3 by M. Hagen have confirmed this result experimentally.ADSCrossRefGoogle Scholar
  29. 22.
    H. Ikeda and M.T. Hutchings, J. Phys. C 11, L529 (1978)ADSCrossRefGoogle Scholar
  30. 23.
    P. Martel, R.A. Cowley and R.W.H. Stevenson, Can. J. Phys. 46, 1355 (1968)ADSCrossRefGoogle Scholar
  31. 24.
    O. Nikotin, P.A. Lindgard and O. W. Dietrich, J. Phys. C 2, 1168 (1969)ADSCrossRefGoogle Scholar
  32. 25.
    H. Yoshizawa, R.A. Cowley, G. Shirane, H. J. Guggenheim and H. Ikeda, Phys. Rev. Lett. 48, 438 (1982)ADSCrossRefGoogle Scholar
  33. 26.
    R.A. Cowley and W.J.L. Buyers, J. Phys. C 15, L1209 (1982)ADSCrossRefGoogle Scholar
  34. 27.
    R.J. Birgeneau, H. Yoshizawa, R.A. Cowley, G. Shirane and H. Ikeda (to be published)Google Scholar
  35. 28.
    M. Hagen, R.A. Cowley, S. Satiya, G. Shirane, H. Yoshizawa, R.J. Birgeneau and H.J. Guggenheim (to be published).Google Scholar
  36. 29.
    H. Rohrer, J. Appl. Phys. 52, 1708 (1981)ADSCrossRefGoogle Scholar
  37. 30.
    H. Ikeda, J. Phys. C 16, L21 (1983)ADSCrossRefGoogle Scholar
  38. 31.
    H. Ikeda and K. Kibuta (to be published)Google Scholar
  39. 32.
    Y. Shapiro, J. Appl. Phys., 53, 1931 (1982)ADSCrossRefGoogle Scholar
  40. 33.
    D.P. Belanger, A.R. King and V. Jaccarino, Phys. Rev. Lett. 48, 1050 (1982)ADSCrossRefGoogle Scholar
  41. 34.
    D.P. Belanger, A.R. King, V. Jaccarino and J. Cardy, (to be published)Google Scholar
  42. 35.
    P. Wong, P.M. Horn, R. J. Birgeneau, C.R. Safinga and G. Shirane, Phys. Rev. Lett. 45, 1974 (1980)ADSCrossRefGoogle Scholar
  43. 36.
    P. Wong, P.M. Horn, R. J. Birgeneau, C.R. Safinga and G. Shirane, Phys. Rev. Lett. 45, 1974 (1980)ADSCrossRefGoogle Scholar
  44. 37.
    K. Fendler, W. Lehmann, R. Weber and U. Dürr, J. Phys. C 30, L533 (1982)CrossRefGoogle Scholar
  45. 38.
    L. Bevaart, E. Frikee and L. J. de Jongh, Phys. Rev. B18, 3376 (1978), ibid B 19, 4741 (1979)ADSCrossRefGoogle Scholar
  46. 39.
    P.A. Lindgard, Phys. Rev. B14, 4074 (1976), ibid B16, 2168, (1978)ADSCrossRefGoogle Scholar
  47. 40.
    S. Fishman and A. Aharony, Phys. Rev. B18, 3507 (1978)ADSCrossRefGoogle Scholar
  48. 41.
    D. Mukamel, Phys. Rev. Lett. 46, 845 (1981)MathSciNetADSCrossRefGoogle Scholar
  49. 42.
    R. J. Birgeneau and A. N. Berker, Phys. Rev. B26, 3751 (1982)Google Scholar

Copyright information

© kalayaan-hanger Publishing 1991

Authors and Affiliations

  • R. A. Cowley
    • 1
  • R. J. Birgeneau
    • 2
  • G. Shirane
    • 3
  • H. Yoshizawa
    • 3
  1. 1.Department of PhysicsUniversity of EdinburghEdinburghScotland
  2. 2.Massachusetts Institute of TechnologyDepartment of PhysicsCambridgeUSA
  3. 3.Brookhaven National LaboratoryUptonUSA

Personalised recommendations