Non-resonant inelastic x-ray scattering involving excitonic excitations
M. W. Haverkort, A. Tanaka, L. H. Tjeng, and G. A. Sawatzky

TL;DR
This paper presents a local many-body approach to accurately describe non-resonant inelastic x-ray scattering involving excitonic excitations, highlighting the tunability of momentum transfer and its use in probing local symmetries in transition metal compounds.
Contribution
It introduces a quantitative method for analyzing non-resonant inelastic x-ray scattering that utilizes momentum transfer and directional dependence to determine local symmetries.
Findings
Accurate description of $d$-$d$ excitations in NiO and CoO.
Momentum transfer magnitude can be tuned for different excitations.
Direction of $oldsymbol{q}$ can determine local symmetry.
Abstract
In a recent publication Larson \textit{et al.} reported remarkably clear - excitations for NiO and CoO measured with x-ray energies well below the transition metal edge. In this letter we demonstrate that we can obtain an accurate quantitative description based on a local many body approach. We find that the magnitude of can be tuned for maximum sensitivity for dipole, quadrupole, etc. excitations. We also find that the direction of with respect to the crystal axes can be used as an equivalent to polarization similar to electron energy loss spectroscopy, allowing for a determination of the local symmetry of the initial and final state based on selection rules. This method is more generally applicable and combined with the high resolution available, could be a powerful tool for the study of local distortions and symmetries in transition metal compounds…
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