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Critical temperature for a random-bond Ising model with frustration on a square lattice

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  • Horiguchi, Tsuyoshi

Abstract

For a random-bond Ising model with frustration on a square lattice in which all the vertical bonds in a column are the same random variable while the horizontal bonds are mutually independent random variables, we calculate an interface free energy for the ferromagnetic phase by means of the method of Müller-Hartmann and Zittartz. The critical temperature is obtained numerically for the system in which the random bonds take on J > 0 and -J with respective probabilities p and 1-p. The interface free energy at zero temperature is obtained in a closed form and the critical concentration is equal to 34.

Suggested Citation

  • Horiguchi, Tsuyoshi, 1983. "Critical temperature for a random-bond Ising model with frustration on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(1), pages 83-91.
    • Handle: RePEc:eee:phsmap:v:119:y:1983:i:1:p:83-91
    DOI: 10.1016/0378-4371(83)90148-6
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