Effective Operator for $dd$ Transitions in Nonresonant Inelastic X-ray Scattering

Abstract

Recent experiments by Larson et al. demonstrate the feasibility of measuring local $dd$ excitations using nonresonant inelastic X-ray scattering (IXS). We establish a general framework for the interpretation where the $dd$ transitions created in the scattering process are expressed in effective one-particle operators that follow a simple selection rule. The different operators can be selectively probed by employing their different dependence on the direction and magnitude of the transferred momentum. We use the operators to explain the presence of nodal directions and the nonresonant IXS in specific directions and planes. We demonstrate how nonresonant IXS can be used to extract valuable ground state information for orbiton excitations in manganite.

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• Coexistence of Bound and Virtual-bound States in Shallow-core to Valence Spectroscopies
• Synchrotron Radiation Techniques and their Application to Actinide Materials
• Unraveling Orbital Correlations via Magnetic Resonant Inelastic X-ray Scattering
• Orbital-selective electronic excitations in iron arsenides revealed by simulated nonresonant inelastic x-ray scattering