Abstract
The temperature dependence of the magnon energies in two-dimensional antiferromagnets with easy-plane anisotropy has been investigated by means of a Green function approach. A preliminary treatment of the non-diagonal effects of the anisotropy is made and the Hartree-Fock magnon energies are obtained by a first-order perturbation theory in the anisotropy. These results are applied to the planar antiferromagnets K2FeF4 and Rb2FeF4. In the first compound, satisfactory agreement is found with the experimental temperature dependence of the magnetisation as well as the one-magnon and two-magnon Raman scattering data. The case of Rb2FeF4 (where only zone-boundary features are accounted for) is critically discussed.
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