The high density expansions derived for the thermodynamic quantities and correlation functions of the spin half Heisenberg antiferromagnet are extended to higher order, for the low temperature case. The (1/z) 2 terms in the sublattice magnetization, free energy and internal energy are evaluated and contact made with the interacting spin wave theory of Oguchi. The selfconsistency of the method in this order is demonstrated, and the criteria for the validity of the results determined. The spin wave damping in order (1/z) 2 is also investigated. This includes spin wave scattering contributions and gives the dominant contribution at low temperatures.
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Cottam et al. (1970) studied this question.
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