Abstract
The dynamics of ann-component vector spin glass with infinite range interactions are investigated near and above the Gabay-Toulouse (GT) line. The local transverse susceptibility χ T for ω→0 varies along the whole GT lineT c1 (H) as ωv, with a field and temperature independent critical exponentv=1/2. The longitudinal susceptibility χ L (ω) remains analytic for all (T, H)≧T c1 (H), except for a cross-over fromv=1 tov=1/2 forH→0 at the freezing temperatureT=T f . The dynamic susceptibilities χ T (ω) and χ L (ω) are already coupled above the GT line via self-energy terms. BelowT c1 (H), this coupling is strongly enhanced by other mechanisms.
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Sherrington, D., Kirkpatrick, S.: Phys. Rev. Lett.35, 1792 (1975)
De Almeida, J.R.L., Thouless, D.J.: J. Phys. A11, 983 (1978)
Mackenzie, N.D., Young, A.P.: Phys. Rev. Lett.49, 301 (1982)
Sompolinsky, H.: Phys. Rev. Lett.47, 935 (1981)
Parisi, G.: Phys. Rev. Lett.50, 1946 (1983)
Toulouse, G., Gabay, M.: J. Phys. Lett. (Paris)42, L103 (1981)
Gabay, M., Toulouse, G.: Phys. Rev. Lett.47, 201 (1981)
Toulouse, G., Gabay, M., Lubensky, T.L., Vannimenus, J.: J. Phys. Lett. (Paris)43, 109 (1982)
Cragg, D.M., Sherrington, D., Gabay, M.: Phys. Rev. Lett.49, 158 (1982)
Gabay, M., Garel, T., de Dominicis, C.: J. Phys. C15, 7165 (1982)
Elderfield, D., Sherrington, D.: J. Phys. A15, L513 (1982)
Gabay, M.: preprint
Chamberlin, R.V., Hardiman, M., Turkevich, L.A., Orbach, R.: Phys. Rev. B25, 6720 (1982)
Monod, P., Bouchiat, H.: J. Phys. Lett. (Paris)43, L45 (1982)
Yeshurun, Y., Ketelson, L.J.P., Salamon, M.B.: Phys. Rev. B26, 149 (1982)
Palumbo, A.C., Parks, R.D., Yeshurun, Y.: J. Phys. C15, L837 (1982)
Salamon, M.B., Tholence, J.L.: J. Appl. Phys.53, 7684 (1984); J. Magn. Magn. Mater.31–34, 1375 (1983)
Bontemps, N., Rajchenbach, J., Orbach, R.: J. Phys. Lett. (Paris)44, L47 (1983)
Campbell, J.A., Arvantis, D., Fert, A.: Phys. Rev. Lett.51, 57 (1983)
Hamida, J.A., Paulsen, C., Williamson, S.J., Maletta, H.: Preprint
Lauer, J., Keune, W.: Phys. Rev. Lett.48, 1850 (1982)
Campbell, I.A., Senoussi, S., Varret, F., Teillet, J., Hamzić, A.: Phys. Rev. Lett.50, 1615 (1983)
Fogle, W.E., Boyer, J.D., Fisher, R.A., Phillips, N.E.: Phys. Rev. Lett.50, 1815 (1983)
Rajchenbach, J., Bontemps, N.: J. Phys. Lett. (Paris)44, L799 (1983)
Sompolinsky, H., Zippelius, A.: Phys. Rev. Lett.47, 359 (1981); Phys. Rev. B25, 6860 (1982)
Sompolinsky, H., Zippelius, A.: J. Phys. C15, L1059 (1982)
Bray, A.J., Moore, M.A.: J. Phys. C14, 2629 (1981)
Hertz, J.A., Klemm, R.A.: Phys. Rev. B28, 3849 (1983)
Martin, P.C., Siggia, E., Rose, H.: Phys. Rev. A8, 423 (1973)
De Dominicis, C.: Phys. Rev. B18, 4913 (1978); and In: Dynamical critical phenomena and related topics. Lecture Notes in Physics. Enz, C. (ed.), Vol. 104, p. 251, Springer Verlag 1979; see also: Bausch, R., Janssen, H.K., Wagner, H.: Z. Phys. B-Condensed Matter and Quanta24, 113 (1976)
Sompolinsky, H.: Phys. Rev. Lett.47, 935 (1981)
Thouless, D.J., Anderson, P.W., Palmer, R.G.: Philos. Mag.35, 593 (1977)
Bray, A.J., Moore, M.A.: J. Phys. C12, L441 (1979)
Fischer, K.H.: J. Phys. C17 (1984)
Kotliar, G., Sompolinsky, H.: Preprint
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Fischer, K.H. Dynamics of vector spin glasses: The Gabay-Toulouse line. Z. Physik B - Condensed Matter 55, 317–324 (1984). https://doi.org/10.1007/BF01304083
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DOI: https://doi.org/10.1007/BF01304083