Abstract
A method used in the isotropic Heisenberg ferromagnet and antiferromagnet with S=1/2 at finite temperature is extended to the anisotropic antiferromagnetic case. The Green's functions are determined using the coherent potential approximation (CPA) following the usual method of treating dilute systems at T=0 and considering the crystal as an array of uncorrelated bonds. The transition temperature TN is found to lie between the RPA and the MF results. The response functions at finite T, obtained by a 'alloy analogy', are compared with experimental data for CoF2. The agreement is reasonable at T<or=TN, although the method is not correct in the low-T limit.
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