Theoretical Study on Resonant Inelastic X-Ray Scattering in Quasi-One-Dimensional Cuprates

TL;DR

This paper provides a theoretical analysis of resonant inelastic x-ray scattering in quasi-one-dimensional copper oxides, explaining the momentum-transfer dependence of spectral shapes observed experimentally.

Contribution

It introduces a detailed theoretical framework combining Hartree-Fock and RPA methods to explain experimental spectral features in copper oxides.

Findings

Spectral shape strongly depends on momentum transfer.

Theoretical spectra agree semi-quantitatively with experiments.

Electron correlation effects are crucial for accurate spectral predictions.

Abstract

We study theoretically the resonant inelastic x-ray scattering in quasi-one-dimensional insulating copper oxides, where the incident photon energy is tuned to the Cu1s-4p absorption energy. Our attention is focused particularly on the strong momentum-transfer dependence of the spectral shape observed in recent experiments. We describe the antiferromagnetic ground state within the Hartree-Fock theory, and consider charge excitations from the ground state within the random phase approximation. By taking account of the electron correlation effects perturbatively, we obtain detailed momentum-transfer dependence of the spectra in a semiquantitative agreement with the experiments.