Abstract
As an analysis of the development of first-order behavior in two-dimensional Ising lattices, the square lattice with antiferromagnetic nearest-neighbor interactions and a ferromagnetic next-nearest-neighbor interaction in the (11) direction has been modeled. The phase diagram was calculated for a range of interaction parameters and imposed fields; the calculations were performed using the cluster variation method (CVM). Analysis of the calculations suggests that no first-order behavior is developed in this system, so that higher dimensionality or connectivities are required before such behavior is developed.
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Ross, C.R. CVM modeling of the square Ising lattice with one next-nearest-neighbor interaction. J Stat Phys 49, 261–268 (1987). https://doi.org/10.1007/BF01009962
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DOI: https://doi.org/10.1007/BF01009962