Abstract

We calculate the magnetic properties of a spin-1/2 antiferromagnet, described by a Heisenberg model with anisotropic exchange coupling, for the high-temperature (paramagnetic) phase by extending our previous calculations for the low-temperature (broken-symmetry) phase based on random-phase-approximation (RPA) and modified RPA decouplings within the Green's-function method. We find again that the dimensional crossover from three to two dimensions occurs at e≃10 -3 , where e≃J ⊥/J ∥ is the anisotropy ratio between the interplane and intraplane exchange couplings. We obtain the coherence length for spin-deviation correlations as a function of temperature and e, and compare our results with other theoretical treatments for the two-dimensional (e=0) limit

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