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The temperature dependence of the magnetic critical scattering above T N and the staggered magnetization below T N has been measured in the longitudinally modulated antiferromagnets thulium and erbium using neutron diffraction. The transitions which occur at T N =57.65+or-0.10 K in thulium and at T N =86.04+or-0.20 K the erbium appear to be continuous second-order transitions. As longitudinally modulated antiferromagnets thulium and erbium would be expected to belong to the d=3, n=2 unversality class of the d=3 XY model.
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Hagen et al. (1992) studied this question.
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