Using inelastic-neutron scattering techniques, the spin wave energy dispersion relation has been investigated at three temperatures in a two-dimensional Ising-like antiferromagnet, Rb2CoF4. The results show there is relatively little dispersion across the Brillouin zone with a very large energy gap at zero wavevector. As the temperature is increased to just below TN there is relatively little renormalisation of the spin waves over the region of wavevectors examined.
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Ikeda et al. (1978) studied this question.
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