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Prog. Theor. Phys. Vol. 69 No. 1 (1983) pp. 20-31

[ Full Text PDF : FREE ACCESS (485K) ]

Hidden Mattis Phase in Annealed System

Yasuhiro Kasai and Ayao Okiji

Department of Applied Physics, Osaka University, Suita 565

(Received July 30, 1982)

Abstract:

The annealed Ising-spin system with competing exchange interactions (J and -αJ) is considered to have a Mattis-type ordered phase. This ordered phase is expected to show the critical slowing down although the free energy has no singularity at Tc. So, we call it the hidden Mattis phase. Further, the phase diagram (concentration vs temperature) in this system exhibits a resemblance to that obtained approximately in the quenched system with the spin glass like phase.


URL : http://ptp.ipap.jp/link?PTP/69/20/
DOI : 10.1143/PTP.69.20

[ Full Text PDF : FREE ACCESS (485K) ] Citation:


References:

  1. I. Syozi, Prog. Theor. Phys. 34 (1965), 189[PTP].
    I. Syozi and S. Miyazima, Prog. Theor. Phys. 36 (1966), 1083[PTP].
  2. M. E. Fisher, Phys. Rev. 176 (1968), 257[APS].
  3. Y. Kasai and I. Syozi, Prog. Theor. Phys. 50 (1973), 1182[PTP].
  4. L. Turban, J. of Phys. C 13 (1980), L13[IoP STACKS].
  5. F. Matsubara and M. Sakata, Prog. Theor. Phys. 55 (1976), 672[PTP].
  6. S. Katsura, Prog. Theor. Phys. 55 (1976), 1049[PTP].
    S. Katsura, S. Inawashiro and S. Fujiki, Physica A 99 (1979), 193[CrossRef].
    S. Fujiki and S. Katsura, J. of Phys. C 13 (1980), 4723[IoP STACKS].
    I. Nagahara, S. Fujiki and S. Katsura, J. of Phys. C 14 (1981), 3781[IoP STACKS].
  7. Y. Ueno and T. Oguchi, J. Phys. Soc. Jpn. 40 (1976), 1513[JPSJ].
  8. S. Nambu and S. Naya, Prog. Theor. Phys. 63 (1980), 1098[PTP].
  9. K. Honda and H. Nakano, Prog. Theor. Phys. 65 (1981), 83[PTP]; ibid. 65 (1981), 95[PTP].
  10. M. Suzuki, Prog. Theor. Phys. 58 (1977), 1151[PTP].
    D. Sherrington, J. of Phys. A 13 (1980), 637[CrossRef].
  11. Y. Kasai, A. Okiji and I. Syozi, Prog. Theor. Phys. 65 (1981), 140[PTP].
  12. Y. Kasai, A. Okiji and I. Syozi, Prog. Theor. Phys. 66 (1981), 1561[PTP].
  13. Y. Kasai, A. Okiji and I. Syozi, Prog. Theor. Phys. 65 (1981), 1439[PTP].
  14. S. F. Edwards and P. W. Anderson, J. of Phys. F 5 (1975), 965[IoP STACKS].
  15. S. Miyashita and M. Suzuki, J. Phys. Soc. Jpn. 50 (1981), 1840[JPSJ].
    M. Suzuki and S. Miyashita, Physica A 106 (1981), 344[CrossRef].
  16. F. Y. Wu, Rev. Mod. Phys. 54 (1982), 235[APS].
  17. D. Kim and R. I. Joseph, J. of Phys. C 7 (1974), L167[IoP STACKS].
  18. I. Ono, J. Phys. Soc. Jpn. 41 (1976), 345[JPSJ].
  19. S. Kirkpatrick, Phys. Rev. B 16 (1977), 4630[APS].
  20. E. Domany, J. of Phys. C 12 (1979), L119[IoP STACKS].
  21. A. Aharony, J. of Phys. C 11 (1978), L457[IoP STACKS].
  22. T. Horiguchi and T. Morita, J. of Phys. A 15 (1982), L75[CrossRef].
    H. Nishimori, Prog. Theor. Phys. 66 (1981), 1169[PTP].
  23. D. C. Mattis, Phys. Lett. A 56 (1976), 421[CrossRef].
  24. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Jpn. Suppl. 26 (1969), 11.
  25. M. P. M. den Nijs, J. of Phys. A 12 (1979), 1857[CrossRef].
    B. Nienhuis, E. K. Riedel and M. Schick, J. of Phys. A 13 (1980), L189[CrossRef].
  26. M. Suzuki, H. Ikari and R. Kubo, Proceedings of the International Conference on Statistical Mechanics, Kyoto 1968, p. 153.
    M. Suzuki, Prog. Theor. Phys. 43 (1970), 882[PTP].
  27. R. Abe and A. Hatano, Prog. Theor. Phys. 41 (1969), 941[PTP].
    K. Kawasaki, Phys. Rev. 148 (1966), 375[APS].
  28. A. J. Bray, M. A. Moore and P. Reed, J. of Phys. C 11 (1978), 1187[IoP STACKS].
  29. C. Dasgupta, S.-k Ma and C.-k Hu, Phys. Rev. B 20 (1979), 3837[APS].
    I. Morgenstern and K. Binder, Phys. Rev. B 22 (1980), 288[APS].
  30. A. P. Murani, Solid State Commun. 33 (1980), 433[CrossRef].
    Y. J. Uemura, T. Yamazaki, R. S. Hayano, R. Nakai and C. Y. Huang, Phys. Rev. Lett. 45 (1980), 583[APS].
  31. Y. Kasai and A. Okiji, J. Magn. Magn. Mater. 31-34 (1983); J. Phys. Soc. Jpn. Suppl. 52 (1983).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 1091-1092 :
    Hidden Mattis Phase in the Sherrington-Kirkpatrick Model
    Yoshio Matsuda, Yasuhiro Kasai and Ayao Okiji
  2. Progress of Theoretical Physics Vol. 98 No. 1 (1997) pp. 39-55 :
    Annealed Character of Spin Clusters in Ising Spin Systems
    Yasuhiro Kasai, Hitoshi Imaoka and Kohzaburo Ohnaka