An expansion in the anisotropy ratio α=Jxy/Jzz gives the exact second-order magnon dispersions in the 1/3 plateau for any spin, shows slow 1/S convergence for S=1/2, and improves agreement with KCSO neutron data over linear spin-wave theory.
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Slow convergence of spin-wave expansion and magnon dispersion in the 1/3 plateau of the triangular XXZ antiferromagnet
An expansion in the anisotropy ratio α=Jxy/Jzz gives the exact second-order magnon dispersions in the 1/3 plateau for any spin, shows slow 1/S convergence for S=1/2, and improves agreement with KCSO neutron data over linear spin-wave theory.