Abstract
The anisotropic Heisenberg model with spin- 1 2 and antiferromagnetic (AF) interaction is studied by the mean field renormalization group (MFRG) approach on a simple cubic lattice. This model in the ferromagnetic (F) limit was treated previously in the literature by Plascak [J. Phys. A 17 (1984) L597], but in this work we generalize the MFRG method for the model with AF interaction. The critical temperature and critical exponent are obtained as a function of the anisotropy parameter (Δ). The results obtained are compared with the critical behavior of the F model. We observe that T N is higher than T C, but the F and AF case present the same universality class.
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