Investigation of the presence of charge order in magnetite by measurement of the spin wave spectrum
R. J. McQueeney, M. Yethiraj, W. Montfrooij, J. S. Gardner, P., Metcalf, J. Honig

TL;DR
This study investigates charge order in magnetite by analyzing spin wave spectra through inelastic neutron scattering, revealing a gap related to structural changes below the Verwey transition.
Contribution
The paper provides experimental evidence of spin wave splitting in magnetite and models the effects of structural distortions, suggesting the splitting may originate from charge-density waves or magnetoelastic effects.
Findings
Observed a 7 meV gap in spin wave spectrum below Verwey transition
Models based on superexchange variations do not fully explain the splitting
Possible origin of splitting includes charge-density waves or magnetoelastic coupling
Abstract
Inelastic neutron scattering results on magnetite (Fe3O4) show a large splitting in the acoustic spin wave branch, producing a 7 meV gap midway to the Brillouin zone boundary at q = (0,0,1/2) and E = 43 meV. The splitting occurs below the Verwey transition temperature, where a metal-insulator transition occurs simultaneously with a structural transformation, supposedly caused by the charge ordering on the iron sublattice. The wavevector (0,0,1/2) corresponds to the superlattice peak in the low symmetry structure. The dependence of the magnetic superexchange on changes in the crystal structure and ionic configurations that occur below the Verwey transition affect the spin wave dispersion. To better understand the origin of the observed splitting, we have constructed a series of Heisenberg models intended to reproduce the pairwise variation of the magnetic superexchange arising from both…
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