Abstract
A new model for uniaxial anisotropy in randomly diluted Heisenberg antiferromagnets, which is particularly appropriate for systems with high anisotropy, is presented. A generalized coherent-potential approximation has been developed to describe spin waves in those random systems where each spin is subjected to a local anisotropy field dependent on the magnetic (non-magnetic) occupation of its neighborhood. The results are in very good agreement with recent experimental data for the antiferromagnetic resonance frequency in ${\mathrm{Fe}}_{1\ensuremath{-}x}{\mathrm{Zn}}_{x}{\mathrm{F}}_{2}$.
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