We calculate the spin-wave dispersion, the perpendicular susceptibility, the spin-stiffness constant, and the sublattice magnetization of a two-dimensional Heisenberg antiferromagnet at T=0, to order 1/(2S)², treating carefully the umklapp processes. Our numerical estimates for the thermodynamic quantities are in good agreement with series-expansion estimates, and satisfy the hydrodynamic relation very accurately.
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Jun-ichi Igarashi (1992) studied this question.
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