Abstract
Using neutron spectroscopy, the authors map out the full magnon dispersion in the easy-plane antiferromagnet Bi${}_{2}$CuO${}_{4}$ and determine its complete spin Hamiltonian. In particular, they solve a long-standing puzzle in this material by determining its small anisotropic spin interactions. Equipped with the complete set of interaction parameters, the authors establish Bi${}_{2}$CuO${}_{4}$ as a rare example of quantum order by disorder, where quantum fluctuations break the in-plane spin degeneracy and are manifested as a spin-flop transition observed by neutron scattering.
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