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Phys. Rev. Lett. 49, 158–161 (1982)

[Issue 2 – 12 July 1982 ]

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Instabilities of an m-Vector Spin-Glass in a Field

Dinah M. Cragg and David Sherrington
Physics Department, Imperial College, London SW7 2BZ, England
Marc Gabay
Physique des Solides, Ecole Normale Supérieure, F-75231 Paris 05, France
Received 16 February 1982

It is demonstrated that for a vector spin-glass in a magnetic field, replica-symmetry breaking, the theoretical indicator for magnetic irreversibility, occurs simultaneously with transverse spin-glass ordering as the temperature is reduced. It is argued that the irreversibility onset will be strong in the transverse direction, but only weak longitudinally, with a crossover to strong longitudinal irreversibility at a lower temperature.

©1982 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v49/p158
DOI: 10.1103/PhysRevLett.49.158
PACS: 75.10.Hk, 05.50.+q, 75.50.Kj


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References

(Reference links marked with dot may require a separate subscription.)
  1. G. Toulouse, to be published.
  2. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975) .
  3. J. R. L. de Almeida and D. J. Thouless, J. Phys. A 11, 983 (1978) [dot INSPEC].
  4. M. Gabay and G. Toulouse, Phys. Rev. Lett. 47, 201 (1981) .
  5. M. Gabay, Thesis, Université de Paris-Sud, 1981 (unpublished).
  6. Ref. 4; G. Toulouse, M. Gabay, T. C. Lubensky, and J. Vannimenus, J. Phys. (Paris), Lett. 43, 109 (1982).
  7. S. Kirkpatrick and D. Sherrington, Phys. Rev. B 17, 4384 (1978) .
  8. Omitted endnote.
  9. G. Parisi, Phys. Rep. 67, 25 (1980) [dot INSPEC][SPIRES].
  10. D. M. Cragg and D. Sherrington, to be published.
  11. G. Toulouse, J. Phys. (Paris), Lett. 41, L447 (1980).


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