Direct observation of charge order and orbital glass state in multiferroic LuFe2O4
A.M. Mulders, S.M. Lawrence, U. Staub, M. Garcia-Fernandez, V., Scagnoli, C. Mazzoli, E. Pomjakushina, K. Conder, Y. Wang

TL;DR
This study uses resonant x-ray diffraction to directly observe charge order and an orbital glass state in LuFe2O4, revealing full charge separation and disordered Fe2+ orbitals due to geometrical frustration.
Contribution
It provides direct experimental evidence of charge ordering and orbital glass state in LuFe2O4 using resonant x-ray diffraction techniques.
Findings
Full charge separation into Fe2+ and Fe3+
Absence of anisotropic scattering indicating orbital glass state
Resonant x-ray diffraction successfully characterizes charge and orbital order
Abstract
Geometrical frustration of the Fe ions in LuFe2O4 leads to intricate charge and magnetic order and a strong magnetoelectric coupling. Using resonant x-ray diffraction at the Fe K edge, the anomalous scattering factors of both Fe sites are deduced from the (h/3 k/3 l/2) reflections. The chemical shift between the two types of Fe ions equals 4.0(1) eV corresponding to full charge separation into Fe2+ and Fe3+. Polarization and azimuthal angle dependence of the superlattice reflections demonstrates the absence of anisotropic scattering revealing random orientations of the Fe2+ orbitals characteristic of an orbital glass state.
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