Magnon interactions strongly renormalize the spin-wave spectrum of the pyrochlore all-in-all-out antiferromagnet and can drive the lowest band to negative energies, suggesting an instability of the phase at small DMI.
Bloch, Zur Theorie des Ferromagnetismus, Zeitschrift fur Physik 61, 206 (1930)
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Spin wave interactions in the pyrochlore Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
Magnon interactions strongly renormalize the spin-wave spectrum of the pyrochlore all-in-all-out antiferromagnet and can drive the lowest band to negative energies, suggesting an instability of the phase at small DMI.