CuK-edge resonant inelastic x-ray scattering in edge-sharing cuprates

We present calculations for resonant inelastic x-ray scattering (RIXS) in edge-shared copper oxide systems, such as ${\mathrm{Li}}_2\mathrm{Cu}{\mathrm{O}}_2$ and $\mathrm{Cu}\mathrm{Ge}{\mathrm{O}}_3$, appropriate for hard x-ray scattering, such as the copper $K$ edge. We perform exact diagonalizations of the multiband Hubbard model 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 ${\mathrm{Li}}_2\mathrm{Cu}{\mathrm{O}}_2$ and $\mathrm{Cu}\mathrm{Ge}{\mathrm{O}}_3$ in the $2–7\mathrm{eV}$ photon energy loss range.