Abstract
The spin-pair correlation functions in the Ising model with nearest-neighbor interaction f > 0 and next-nearest-neighbor interaction ]' on the square lattice are obtained in three approximations of the simplified cluster variation method. We estimate the critical indices TJJJ, y and JJ, by applying the coherent-anomaly method to the obtained spin-pair correlation functions. We conclude that the system belongs to the Onsager universality class when ]'If > -0.5 and does not when]' If< -0.5.
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