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Two-dimensional Ising model with annealed random fields

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  • Horiguchi, T.
  • Gonçalves, L.L.

Abstract

We investigate the influence of annealed random fields on the phase diagram of the ferromagnetic Ising model on the square lattice. We find that the gaussian random field makes the ferromagnetic ground state unstable and we have a super-antiferromagnetic state at low temperatures. For the binary random field, in which the random field takes +h with probability p and -h with probability 1 - p, there is a critical field hc, and the ferromagnetic ground state is stable for h < hc but unstable for h 62 hc. When the ferromagnetic ground state is unstable, we have a re-entrant phase transition.

Suggested Citation

  • Horiguchi, T. & Gonçalves, L.L., 1988. "Two-dimensional Ising model with annealed random fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(3), pages 672-680.
    • Handle: RePEc:eee:phsmap:v:150:y:1988:i:3:p:672-680
    DOI: 10.1016/0378-4371(88)90263-4
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    References listed on IDEAS

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    1. Cowley, R.A. & Birgeneau, R.J. & Shirane, G., 1986. "Phase transitions and metastable states in the presence of random fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 285-290.
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