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The boundary between the spin-glass and ferromagnetic states of the bond-random Ising model in the square lattice at T = 0

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  • Katsura, Shigetoshi
  • Suenaga, Toshiyuki
  • Imaizumi, Takahiro

Abstract

The bond-random (±J) Ising model in the square lattice is considered in the square cluster approximation. The boundary between the ferromagnetic and spin-glass states at T = 0 is obtained as the transition point from the asymmetric distribution of the effective fields to the symmetric distribution. The concentration of this transition, PFG is obtained by solving the integral equation for the distribution function of the effective fields.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:3:p:368-379
    DOI: 10.1016/0378-4371(82)90165-0
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    References listed on IDEAS

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    1. Katsura, Shigetoshi & Inawashiro, Sakari & Fujiki, Sumiyoshi, 1979. "Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 193-216.
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    Cited by:

    1. 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.

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    12. de Oliveira, M.J., 1988. "Ising spin glass in the Bethe approximation at zero temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 567-574.

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