Crystal-field effect on magnetic ordering temperature of collinear antiferromagnet

The correlated effective field approach, proposed by Lines, for computing the magnetic ordering temperature of a ferromagnet with single-ion anisotropy, is generalized for the case of a collinear uniaxial antiferromagnet. The dependence of the Néel temperature T N on the DS 2 z -type crystal field anisotropy parameter D is obtained numerically for lattices of cubic and tetragonal symmetry. For the latter case the influence of lowering the interaction dimensionality on T N is presented for the spin quantum numbers S = 1 and 7/2.