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The transition from the spin-glass to the ferromagnetic state in the bond-random Ising model in the face-centred cubic lattice

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  • Katsura, Shigetoshi
  • Matsuno, Akira

Abstract

The boundary between the spin-glass state and the ferromagnetic state (pF-G) of the bond-random (±J) Ising model in the face-centred cubic lattice at T = 0 is calculated by the method of tetrahedron approximation in the simple version. The obtained value is, pF-G = 0.682, which is a little larger than the triple point pt = 0.654, and the model shows the reentrant behavior.

Suggested Citation

  • Katsura, Shigetoshi & Matsuno, Akira, 1983. "The transition from the spin-glass to the ferromagnetic state in the bond-random Ising model in the face-centred cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 122(3), pages 483-488.
  • Handle: RePEc:eee:phsmap:v:122:y:1983:i:3:p:483-488
    DOI: 10.1016/0378-4371(83)90044-4
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    References listed on IDEAS

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    1. Katsura, Shigetoshi & Suenaga, Toshiyuki & Imaizumi, Takahiro, 1982. "The boundary between the spin-glass and ferromagnetic states of the bond-random Ising model in the square lattice at T = 0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 368-379.
    2. Katsura, Shigetoshi & Nagahara, Izuru, 1980. "Effect of the frustration to the ground state energy and entropy of the spin-glass in the random bond Ising model on the square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 397-416.
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    Cited by:

    1. De Smedt, Ph. & Indekeu, J.O. & Zhang, L., 1987. "The short-range van Hemmen model in a simple Kikuchi approximation: Comparison with the mean-field model and with spin-glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(3), pages 450-477.

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