Abstract

The antiferromagnetic Heisenberg model with uniaxial anisotropy, arbitrary spin and dimension is solved approximately for D>0. The ground-state wavefunction, its energy, and zero-spin excitations are obtained. The validity range of the analytic approach is determined by comparing it with numerical computation and perturbative results in the large-D limit. It is shown that the paired, non-magnetic excitation method presented here yields more accurate results than linear spin-wave theory.

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