Broken ergodicity in spin glasses

  • R. G. Palmer
Theoretical Papers
Part of the Lecture Notes in Physics book series (LNP, volume 192)


The nature of the frozen spin glass phase is discussed, paying particular attention to the methods of statistical mechanics needed to treat it. A phenomenological approach is advocated. Suggestions are made for the characterization of the possible frozen components and their time, temperature, field, and system-size (N) dependence. The paper is based on reference 1 but some discussion and Monte Carlo results are new.


Free Energy Surface Spin Glass Freeze State Free Energy Barrier Spin Glass Phase 
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  1. 1.
    R.G. Palmer, Adv. Phys. 31, 669 (1982).Google Scholar
  2. 2.
    I. Morgenstern and H. Horner, Phys. Rev. B25, 504 (1982).Google Scholar
  3. 3.
    N.D. Mackenzie and A.P. Young, Phys. Rev. Lett. 49, 301 (1982).Google Scholar
  4. 4.
    R.P. Feynman, Statistical Mechanics (Benjamin, Reading 1972), p. 1.Google Scholar
  5. 5.
    R.B. Griffiths, C.-Y. Weng, and J.S. Langer, Phys. Rev. 149, 301 (1966).Google Scholar
  6. 6.
    F. Mezei and A.P. Murani, J. Magn. Mag. Mat. 14, 211 (1980).Google Scholar
  7. 7.
    D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975).Google Scholar
  8. 8.
    H. Sompolinsky, Phys. Rev. Lett. 47, 935 (1981).Google Scholar
  9. 9.
    A.P. Young, J. Phys. C14, L1085 (1981).Google Scholar
  10. 10.
    D.J. Thouless, P.W. Anderson, and R.G. Palmer, Phil. Mag. 35, 593 (1977).Google Scholar
  11. 11.
    I. Morgenstern and K. Binder, Phys. Rev. Lett. 43, 1615 (1979).Google Scholar
  12. 12.
    R.B. Israel, Convexity in the Theory of Lattice Gases (Princeton UP, Princeton)Google Scholar
  13. 13.
    A.C.D. van Enter and J.L. van Hemmen, Phys. Rev. Axx, xxxx (1984).1979).Google Scholar
  14. 14.
    A.P. Young and S. Kirkpatrick, Phys. Rev. B25, 440 (1982).Google Scholar
  15. 15.
    L.R. Walker and R.E. Walstedt, Phys. Rev. Lett. 38, 514 (1977).Google Scholar
  16. 16.
    J.L. van Hemmen and R.G. Palmer, J. Phys. A12, 563 (1979).Google Scholar
  17. 17.
    S.F. Edwards and P.W. Anderson, J. Phys. F5, 965 (1975).Google Scholar
  18. 18.
    F.T. Bantilan Jr. and R.G. Palmer, J. Phys. F11, 261 (1981).Google Scholar
  19. 19.
    J. Jäckle and W. Kinzel, J. Phys. A16, L163 (1983).Google Scholar
  20. 20.
    I. Morgenstern, this conference.Google Scholar
  21. 21.
    H.-J. Sommers, Z. Phys. B31, 301 (1978).Google Scholar
  22. 22.
    A.J. Bray, M.A. Moore, and P. Reed, J. Phys. C11, 1187 (1978).Google Scholar
  23. 23.
    I. Morgenstern, Phys. Rev. B27, 4522 (1983).Google Scholar
  24. 24.
    A.J. Kolan and R.G. Palmer, J. Appl. Phys. 53, 2198 (1982).Google Scholar
  25. 25.
    A.J. Bray and M.A. Moore, J. Phys. C13, L469 (1980).Google Scholar
  26. 26.
    C.M. Soukoulis, K. Levin, and G.S. Grest, Phys. Rev. Lett. 48, 1756 (1982).Google Scholar
  27. 27.
    R.V. Chamberlin, M. Hardiman, L.A. Turkevich, and R. Orbach, Phys. Rev. B25, 6720 (1982).Google Scholar
  28. 28.
    R. Liebmann and H.G. Schuster, J. Phys. C14, 709 (1980).Google Scholar
  29. 29.
    W. Kinzel, Z. Phys. B46, 59 (1982).Google Scholar
  30. 30.
    J.J. Préjean and J. Souletie, J. Phys. (Paris) 41, 1335 (1980).Google Scholar
  31. 31.
    U. Krey, J. Magn. Mag. Mat. 6, 27 (1977).Google Scholar
  32. 32.
    D. Stauffer and K. Binder, Z. Phys. B30, 313 (1978).Google Scholar
  33. 33.
    J. Jäckle (private communication) disputes this conclusion.Google Scholar
  34. 34.
    G. Parisi, J. Phys. A13, L115 (1980).Google Scholar
  35. 35.
    G. Toulouse, in Anderson Localization: Proceedings of the Fourth Taniguchi International Symposium (ed. Nagaoka and Fukuyama, Springer-Verlag, Heidelberg 1982).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • R. G. Palmer
    • 1
  1. 1.Dept. of PhysicsDuke UniversityDurhamUSA

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