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Prog. Theor. Phys. Vol. 50 No. 4 (1973) pp. 1182-1193

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Plural Transitions for an Ising Model of a Mixture of Ferromagnetic and Antiferromagnetic Bonds

Yasuhiro Kasai and Itiro Syozi

Department of Applied Physics, Faculty of Engineering, Osaka University, Suita, Osaka

(Received March 27, 1973)

Abstract:

The critical temperature versus concentration curve for the magnetic mixture reflects the lattice structure in the vicinity of the critical concentration. There exist three critical temperatures for close-packed lattices when the magnitude of ferromagnetic exchange integral is a little larger than that of antiferromagnetic one. The dual relation between lattices is used to deduce the criterion for the appearance of plural transitions.
Similarity between the plural transitions and the anomaly in the spontaneous magnetization near the temperature zero is pointed out, and a qualitative explanation for the occurrence of plural transitions is given.


URL : http://ptp.ipap.jp/link?PTP/50/1182/
DOI : 10.1143/PTP.50.1182

[ Full Text PDF : FREE ACCESS (796K) ] Citation:

References:

  1. B. T. Mattias, H. Suhl and E. Corenzwit, Phys. Rev. Lett. 1 (1958), 92[APS].
    J. M. Baker, J. A. J. Lourens and R. W. H. Stevenson, Proceedings of the International Conference on Magnetism and Crystallography, Kyoto (1961), p. 478.
    K. Takeda, M. Matsuura and T. Haseda, Proceedings of the International Conference on Low Temperature Physics, St. Andrews (1968).
    K. Adachi, K. Sato and M. Takeda, J. Phys. Soc. Jpn. 26 (1969), 631[JPSJ].
    M. Hattori, K. Adachi and H. Nakano, J. Phys. Soc. Jpn. 26 (1969), 642[JPSJ].
  2. K. Adachi, K. Sato, M. Matsuura and M. Ohashi, J. Phys. Soc. Jpn. 29 (1970), 323[JPSJ].
  3. R. Brout, Phys. Rev. 176 (1959), 824[APS].
  4. I. Syozi, Prog. Theor. Phys. 34 (1965), 189[PTP].
    I. Syozi and S. Miyazima, Prog. Theor. Phys. 36 (1966), 1083[PTP].
  5. M. Matsuura, Y. Ajiro and T. Haseda, J. Phys. Soc. Jpn. 26 (1969), 665[JPSJ].
    K. Takeda, M. Matsuura and T. Haseda, J. Phys. Soc. Jpn. 28 (1970), 29[JPSJ].
  6. V. A. Shklovskii, Sov. Phys. -JETP 32 (1971), 979.
  7. A. A. Lushnikov, Sov. Phys. -JETP 29 (1969), 120.
  8. V. L. Poklovskii, JETP Lett. 11 (1970), 146.
  9. M. E. Fisher, Phys. Rev. 176 (1968), 257[APS].
  10. P. E. Scesney, Phys. Rev. B 1 (1970), 2274[APS].
  11. S. Katsura and B. Tsujiyama, Critical Phenomena (N. B. S. Misc. Publ.), (1965), p. 219.
  12. D. C. Rapaport, J. Phys. C 5 (1972), 1830[IoP STACKS].
  13. Y. Kasai, S. Miyazima and I. Syozi, Prog. Theor. Phys. 42 (1969), 1[PTP].
  14. A. M. Kosevichi and V. A. Shklovskii, Sov. Phys. -JETP 33 (1971), 588.
  15. M. E. Fisher, Phys. Rev. 113 (1959), 969[APS].
  16. Y. Nambu, Prog. Theor. Phys. 5 (1950), 1[PTP].
  17. F. J. Wegner, J. Math. Phys. 12 (1971), 2259[CrossRef].

Citing Article(s) :

  1. Journal of the Physical Society of Japan 56 (1987) pp. 3742-3743 :
    The Study of Reentrant Behavior in the Two-Dimensional Ising Model with Random Bond Interactions
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  2. Journal of the Physical Society of Japan 58 (1989) pp. 3106-3110 :
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  3. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 642-653 :
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  4. Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1021-1027 :
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  5. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 672-682 :
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  6. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1049-1063 :
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  7. Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1434-1441 :
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  8. Progress of Theoretical Physics Vol. 56 No. 6 (1976) pp. 1669-1673 :
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  9. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 28-41 :
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  10. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1497-1506 :
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  11. Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 434-451 :
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  12. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1437-1446 :
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  13. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 401-412 :
    Orientational Phase Transition in a Two-Dimensional Molecular Crystal with Random Pairwise Interactions
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  14. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 566-567 :
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  15. Progress of Theoretical Physics Vol. 63 No. 6 (1980) pp. 1917-1930 :
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  16. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1212-1232 :
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  17. Progress of Theoretical Physics Vol. 65 No. 1 (1981) pp. 140-153 :
    Application of Real Replica Method to Syozi Model
    Yasuhiro Kasai, Ayao Okiji and Itiro Syozi
  18. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1574-1589 :
    Concentration Expansion for Random Ising Systems. II
    Tsuguhiro Tamaribuchi
  19. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 131-138 :
    Potts Model of Magnetic Mixture in Annealed System
    Yoshio Matsuda, Yasuhiro Kasai and Itiro Syozi
  20. Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 434-442 :
    Annealed Ising Bond-Mixture on the Pyrite Lattices
    Shigetoshi Katsura and Takahiro Imaizumi
  21. Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 20-31 :
    Hidden Mattis Phase in Annealed System
    Yasuhiro Kasai and Ayao Okiji
  22. 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
  23. Progress of Theoretical Physics Vol. 79 No. 5 (1988) pp. 1080-1094 :
    Percolation Problem Describing ±J Ising Spin Glass System
    Yasuhiro Kasai and Ayao Okiji

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