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The Schr\"odinger exchange operator for arbitrary spin has been used to form an interaction Hamiltonian for a nearest-neighbor two-sublattice model of antiferromagnetism. By use of diagrammatic and cluster expansion techniques, eight terms in the high-temperature series for the low-field staggered susceptibility are obtained for open lattices. Analysis based on conformal transformations, ratios, and Pad\'e approximants yields the first reliable estimates of the critical-point exponent ₍ for a quantum-mechanical model of antiferromagnetism. On the cubic lattices ₍=1. 40-₀. ₀₂^+0. 03, 1. 300. 05, and 1. 100. 06 for the case S=12, 1, and 32, respectively. Comparison of the results with the ferromagnetic exchange model (FEM) are made, along with numerical evidence for the existence of (weak sense) phase transitions in two dimensions for the FEM.
Charles et al. (Sat,) studied this question.