Cu $K$-edge Resonant Inelastic X-Ray Scattering in Edge-Sharing Cuprates

Abstract

We present calculations for resonant inelastic x-ray scattering (RIXS) in edge-shared copper oxide systems, such as CuGeO${}_3$ and Li${}_2$CuO${}_2$, appropriate for hard x-ray scattering where the photoexcited electron lies above oxygen 2p and copper 3d orbital energies. We perform exact diagonalizations of the multi-band Hubbard and determine the energies, orbital character and resonance profiles of excitations which can be probed via RIXS. We find excellent agreement with recent results on Li${}_2$CuO${}_2$ and CuGeO${}_3$ in the 2-7 eV photon energy loss range.

Updated with new data, expanded 9 pages, 9 figures