Abstract
The very recently improved treatment proposed by de Sousa and Plascak [Phys. Lett. A 237 (1997) 66], the mean field renormalization group (MFRG) approach used on the quantum spin 1/2 Heisenbeg antiferromagnet in two sublattices, is herein extended for larger clusters (two and four spins). The critical temperature for the ferromagnetic- T c(F) and antiferromagnetic- T N (AF) are obtained as a function of the anisotropy parameter ( Δ) on a square lattice. Within this approach, we find that T N is triple valued under certain condition of quantum competiting interaction ( Δ near of Δ c=0.18), suggesting the occurrence of reentrant behavior in the phase diagram. A preliminary analysis of finite size scaling in small cluster is presented, showing that the reentrance can be an effect of cluster finite size.
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