A lattice model of superantiferromagnetism

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Abstract
The ordered phase of MnO, NiO and similar superantiferromagnetic materials leads to consideration of two lattice models of superantiferromagnetism derived from the Ising model. The first model is a simple cubic lattice with ferromagnetic interactions in the x and y directions and antiferromagnetic coupling in the z direction, while the second model has antiferromagnetic coupling in the x and y directions and ferromagnetic coupling in the z direction. It is shown that the absolute value of the critical temperature mod kTc/J mod is the same for both models, and is equal to that of the normal two sublattice model of antiferromagnetism, and that the critical exponents for both the susceptibility and specific heat are identical for both models, and equal to the corresponding exponents for the two sublattice model.