Non-universal critical behaviour of the two-dimensional Ising model with crossing bonds

Kazuhiko Minami and Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 1993, vol. 192, issue 1, 152-166

Abstract: The two-dimensional square lattice Ising model with the nearest-neighbour ferromagnetic interaction J and the next-nearest-neighbour antiferromagnetic interaction J' is investigated in the interaction range |J/J'| ⩽ 0.8. This model is shown to violate the ordinary universality hypothesis. Estimations of critical temperature as a function of J/J' by means of an extrapolation method results in the exact critical temperature T∗c when |J/J'| = 0 and in an approximate Tc accurate up to the fourth digit when |J/J'| is small. The critical exponent γ is estimated as a function of |J/J'| with the use of the multi-effective-field theory and the coherent-anomaly method. It is shown, consequently, that γ varies continuously as |J/J'| increases.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:192:y:1993:i:1:p:152-166

DOI: 10.1016/0378-4371(93)90149-X

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