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Prog. Theor. Phys. Vol. 36 No. 6 (1966) pp. 1083-1094

[ Full Text PDF : FREE ACCESS (528K) ]

A Statistical Model for the Dilute Ferromagnet

Itiro Syozi and Sasuke Miyazima

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

(Received June 28, 1966)

Abstract:

A statistical model for a kind of dilute ferromagnetism is presented. In thie model, a sublattice is a mixture of magnetic ions and non-magnetic ions, and the other sublattice is occupied exclusively by magnetic ions. Assuming the Ising type exchange interaction between magnetic ions, some exact results for the system obtained. The Curie temperature decreases as the concentration of magnetic ions decreaces and reachs the absolute zero of temperature at a critical concentration. At concentrations higher than the critical value, the specific heat remains finite and has a cusp with vertical tangent at the Curie temperature. The critical concentrations for several types of lattices are also given.


URL : http://ptp.ipap.jp/link?PTP/36/1083/
DOI : 10.1143/PTP.36.1083

[ Full Text PDF : FREE ACCESS (528K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1121-1132 :
    Ordering in Certain Statistical Systems of Ising Spins
    Huzio Nakano
  2. Progress of Theoretical Physics Vol. 40 No. 2 (1968) pp. 237-242 :
    Appearence of Two Ferromagnetic Phases Separated by a Paramagnetic Phase in Certain Kinds of Decorated Ising Lattice
    Itiro Syozi and Huzio Nakano
  3. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 462-470 :
    Three Phase Transitions of Ising Model
    Sasuke Miyazima
  4. Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 958-974 :
    Magnetic and Thermal Properties of an Antiferromagnetic Decorated Ising Lattice in Finite Magnetic Fields
    Masumi Hattori and Huzio Nakano
  5. Progress of Theoretical Physics Vol. 40 No. 6 (1968) pp. 1246-1256 :
    Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism
    Masuo Suzuki
  6. Progress of Theoretical Physics Vol. 42 No. 1 (1969) pp. 1-8 :
    Ising Lattices with Random Arrangements of Ferromagnetic and Antiferromagnetic Bonds
    Yasuhiro Kasai, Sasuke Miyazima and Itiro Syozi
  7. 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
  8. Progress of Theoretical Physics Vol. 42 No. 5 (1969) pp. 1106-1128 :
    Phase Transitions in the Plane Ising Lattices Decorated with Higher Ising Spins
    Keiji Yamada
  9. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2146-2148 :
    On Critical Behavior of Dilute Ferromagnet with Four-Spin Interaction
    Sasuke Miyazima
  10. Progress of Theoretical Physics Vol. 48 No. 5 (1972) pp. 1756-1757 :
    A Solvable Model of Two-Dimensional Antiferromagnet
    Hiroyuki Mashiyama, Shigetoshi Nara and Takeo Matsubara
  11. 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
  12. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1232-1239 :
    Critical Properties of Ising Models Containing Dilute Impurities. II
    Katuro Sawada and Takeo Osawa
  13. 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
  14. Progress of Theoretical Physics Vol. 51 No. 1 (1974) pp. 99-108 :
    Phase Transition in an Assembly of Ferromagnetic Clusters
    Sasuke Miyazima and Kenzo Yonezawa
  15. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1016-1023 :
    Renormalization Group Approach to a Quenched, Diluted Spin System
    Tatuo Kawasaki
  16. 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
  17. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1497-1506 :
    An Ising Model for Magnetic Mixture Composed of Triangle-Bond Elements
    Yasuhiro Kasai
  18. 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
  19. Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 958-967 :
    A Duality between Blocked Ising Models
    Yasuhiro Kasai
  20. 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
    Tetsuo Ishii, Shigeo Naya and Satoshi Tanaka
  21. 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
  22. Progress of Theoretical Physics Vol. 63 No. 6 (1980) pp. 1917-1930 :
    Dualities for Extended Potts Models Induced from the Percolation Problems of Block Elements
    Yasuhiro Kasai, Takehiko Takano and Itiro Syozi
  23. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1212-1232 :
    Concentration Expansion for Random Ising Systems
    Tsuguhiro Tamaribuchi and Fumihiko Takano
  24. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1574-1589 :
    Concentration Expansion for Random Ising Systems. II
    Tsuguhiro Tamaribuchi
  25. 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
  26. Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 20-31 :
    Hidden Mattis Phase in Annealed System
    Yasuhiro Kasai and Ayao Okiji

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