Theory of Anomalous X-ray Scattering in Orbital Ordered Manganites

Abstract

We study theoretically the anomalous X-ray scattering as a new probe to observe the orbital orderings and excitations in perovskite manganites. The scattering matrix is given by the virtual electronic excitations from Mn $1s$ level to unoccupied Mn $4p$ level. We find that orbital dependence of the Coulomb interaction between Mn $3d$ and Mn $4p$ electrons is essential to bring about the anisotropy of the scattering factor near the K edge. The calculated results in $Mn{O}_6$ clusters explain the forbidden reflections observed in $L{a}_{0.5}S{r}_{1.5}Mn{O}_4$ and $LaMn{O}_3$. A possibility of the observation of the orbital waves by the X-ray scattering is discussed.

4 pages, 2 figures

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