Abstract

A theory is presented for two-magnon Raman scattering in a Heisenberg antiferromagnet at temperatures below TN. The treatment makes use of a field theoretical perturbation expansion and a classification of terms with respect to a high-density parameter 1/z. The effects of magnon- magnon interactions are included by evaluating all contributions up to order (1/z)2. In the zero temperature limit the results are very similar to those obtained by Elliott and Thorpe (1969) using a Green function equation of motion method. The calculations are applied to the antiferromagnets RbMnF3 and NiO at various temperatures and a comparison is made with experimental work. The agreement is fairly good, particularly for the frequency and temperature variation of the Raman peak. However, the predicted resonance widths at elevated temperatures are found to be smaller than observed experimentally and the possibility of obtaining better agreement by inducing higher order effects in the theory is considered.

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