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The spin-wave Hamiltonian for a two-sublattice antiferromagnet with purely dipolar interactions is diagonalized. The simple-cubic (sc) lattice is solved as an example, and is found to exhibit zero-point-motion corrections to the Ne{}el state that are much larger than those of the nearest-neighbor sc Heisenberg antiferromagnet. The two-dimensional square dipolar lattice is found not to exhibit long-range order at finite temperature in this approximation.
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Corruccini et al. (1993) studied this question.
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