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Prog. Theor. Phys. Vol. 42 No. 1 (1969) pp. 1-8

[ Full Text PDF : FREE ACCESS (494K) ]

Ising Lattices with Random Arrangements of Ferromagnetic and Antiferromagnetic Bonds

Yasuhiro Kasai, Sasuke Miyazima and Itiro Syozi

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

(Received February 13, 1969)

Abstract:

A statistical model with decorated double bonds on each pair of the Ising spins is presented. The decorated Ising spin on one of the double bonds connects the neighboring Ising spins of the matrix lattice ferromagnetically and the other connects them antiferromagnetically.
The critical concentrations for the ferromagnetic or antiferromagnetic transitions are found for several types of lattices. The specific heat has a cusp at the Curie or Néel point. Dependence of Curie and Néel temperatures on the concentration ratio of ferromagnetic and antiferromagnetic components is obtained.


URL : http://ptp.ipap.jp/link?PTP/42/1/
DOI : 10.1143/PTP.42.1

[ Full Text PDF : FREE ACCESS (494K) ] Citation:

References:

  1. T. Hirone, S. Maeda, I. Tsubokawa and N. Tsuya, J. Phys. Soc. Jpn. 11 (1956), 1083[JPSJ].
  2. M. Shiga, J. Phys. Soc. Jpn. 22 (1967), 539[JPSJ].
  3. K. Adachi, Sato K. and M. Takeda J. Phys. Soc. Jpn. 26 (1969), 631[JPSJ].
  4. F. Sawaguchi, J. Phys. Soc. Jpn. 8 (1953), 615[JPSJ].
  5. R. Brout, Phys. Rev. 115 (1959), 824[APS].
  6. I. Syozi, Prog. Theor. Phys. 34 (1965), 189[PTP].
    I. Syozi and S. Miyazima, Prog. Theor. Phys. 36 (1966), 1083[PTP].
  7. The appearance of such kinds of many critical points was discussed by some authors:
    H. Nakano, Prog. Theor. Phys. 39 (1968), 1121[PTP].
    I. Syozi, Prog. Theor. Phys. 39 (1968), 1367[PTP].
    H. Nakano, Prog. Theor. Phys. 40 (1968), 231[PTP].
    S. Miyazima and I. Syozi, Prog. Theor. Phys. 40 (1968), 185[PTP].
    S. Miyazima, Prog. Theor. Phys. 40 (1968), 462[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 1 (1969) pp. 130-131 :
    On the Néel Temperature of a Mixed Crystal Consisting of Two Kinds of Antiferromagnetic Substances
    Tsutomu Kano and Sasuke Miyazima
  2. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1182-1193 :
    Plural Transitions for an Ising Model of a Mixture of Ferromagnetic and Antiferromagnetic Bonds
    Yasuhiro Kasai and Itiro Syozi
  3. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1428-1429 :
    An Ising Model for a Magnetic Mixture without Critical Concentration
    Yasuhiro Kasai and Itiro Syozi
  4. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 642-653 :
    Theory of Random Mixtures of Ising Spins
    Yohtaro Ueno and Takehiko Oguchi
  5. Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1021-1027 :
    Random Mixtures in Annealed and Quenched Ising Bond Model
    Andrzej Pekalski and Takehiko Oguchi
  6. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 672-682 :
    Theory of Random Magnetic Mixture. III
    Fumitaka Matsubara and Masateru Sakata
  7. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1049-1063 :
    Random Mixture of the Ising Magnets in a Magnetic Field
    Shigetoshi Katsura
  8. Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1434-1441 :
    An Ising Model for an Annealed Magnetic Mixture with Continuous Distribution of Random Bonds
    Yasuhiro Kasai and Itiro Syozi
  9. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 28-41 :
    Thermodynamic Properties of the Frozen System
    Yoshimasa Itoh and Kiyoshi Teramoto
  10. Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 434-451 :
    Susceptibility and Specific Heat in the Glass-Like Phase
    Shigetoshi Katsura
  11. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1437-1446 :
    Monte Carlo Simulation for Random Mixtures of a Three-Dimensional Ising Site Model. II
    Takeshi Tatsumi
  12. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 566-567 :
    A Transformation of the n-Replica Model to an Ising Model
    Yasuhiro Kasai and Takehiko Takano
  13. 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
  14. 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

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