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Prog. Theor. Phys. Vol. 68 No. 2 (1982) pp. 374-387

[ Full Text PDF : FREE ACCESS (506K) ]

Freeze-In Transition of Anharmonic Oscillator System with Quenched Random Interactions

Shinji Nambu and Shigeo Naya

Department of Physics, Kwansei Gakuin University, Uegahara, Nishinomiya 662

(Received February 1, 1982)

Abstract:

A simple model of strongly disordered systems composed of anharmonic oscillators with quenched random interactions is introduced and its structural phase transition is studied by making use of the replica method. A freeze-in transition characterized by Edwards and Anderson type's order prameter (q ≠0), the phase diagram (para-ferrodistortive-frozen), and a constant susceptibility below the transition temperature are derived in the mean field (Einstein oscillator) approximation. The self-consistent phonon approximation is also used to study the effect of spatial fluctuations, and it is shown that the phase diagram undergoes a qualitative change at the spatial dimension d=4. The relationship between our model and the Ginzburg-Landau theory of spin-glasses are discussed.


URL : http://ptp.ipap.jp/link?PTP/68/374/
DOI : 10.1143/PTP.68.374

[ Full Text PDF : FREE ACCESS (506K) ] Citation:

References:

  1. B. I. Halperin and C. M. Varma, Phys. Rev. B 14 (1976), 4030[APS].
  2. K. H. Höck and H. Thomas, Z. Phys. B 27 (1977), 267.
  3. B. K. Chakrabarti, Z. Phys. B 43 (1981), 267.
  4. P. W. Anderson, ill-condensed matter, Les Houches 1978, Session XXXI, edited by R. Balian, R. Maynard and G. Toulouse (North Holland, 1979), p. 158.
  5. S. F. Edwards and P. W. Anderson, J. of Phys. F 5 (1975), 965[IoP STACKS].
    D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35 (1975), 1792[APS].
    S. Kirkpatrick and D. Sherrington, Phys. Rev. B 17 (1978), 4384[APS].
  6. B. Fischer and M. W. Klein, Phys. Rev. Lett. 37 (1976), 756[APS].
    S. Kirkpatrick and C. M. Varma, Solid State Commun. 25 (1978), 821[CrossRef].
    B. K. Chakrabarti, Phys. Rev. B 24 (1981), 4062[APS].
  7. S. K. Ma and J. Rudnick, Phys. Rev. Lett. 40 (1978), 589[APS].
  8. J. A. Hertz and R. A. Klemm, Phys. Rev. Lett. 40 (1978), 1397[APS].
    J. A. Hertz, Phys. Rev. B 19 (1979), 4796[APS].
    J. A. Hertz and R. A. Klemm, Phys. Rev. B 20 (1979), 316[APS].
  9. C. De Dominicis, Phys. Rev. B 18 (1978), 4913[APS].
    C. De Dominicis, Dynamical Critical Phenomena and Related Topics, edited by C. P. Enz (Springer, 1979), p. 251.
  10. T. Ishii and S. Naya, J. Phys. Soc. Jpn. 38 (1975), 623[JPSJ].
  11. Y. Onodera, Prog. Theor. Phys. 44 (1970), 1477[PTP].
  12. P. Shukla and S. Singh, Phys. Lett. A 81 (1981), 477[CrossRef].
    B. Derrida, Phys. Rev. B 24 (1981), 2613[APS].
  13. D. Sherrington, Phys. Rev. B 22 (1980), 5553[APS].
  14. R. Fisch and A. B. Harris, Phys. Rev. Lett. 38 (1977), 785[APS].
  15. A. J. Bray and M. A. Moore, J. of Phys. C 12 (1979), 79[IoP STACKS].
  16. J. H. Chen and T. C. Lubensky, Phys. Rev. B 16 (1977), 2106[APS].
  17. J. Villain, J. of Phys. C 10 (1977), 4793[IoP STACKS].
  18. P. W. Anderson, B. I. Halperin and C. M. Varma, Phil. Mag. 25 (1972), 1.
  19. G. Parisi, J. of Phys. A 13 (1980), L115[CrossRef].
  20. J. A. Krumhansl and J. R. Schrieffer, Phys. Rev. B 11 (1975), 3535[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 871-874 :
    Stability of the Ginzburg-Landau Spin-Glass Model
    Shinji Nambu

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