Landscape of coexisting excitonic states in the insulating single-layer cuprates and nickelates
We present an ab initio study of the excitonic states of a prototypical high-temperature superconductor La 2 CuO 4 and compare them to the isostructural single-layer nickelate La 2 NiO 4 . A key difference in the low-energy electronic structure leads to very different excitonic behavior. Excitons in La 2 CuO 4 are delocalized and can freely move in the CuO 2 plane without disturbing the antiferromagnetic order. In contrast, in La 2 NiO 4 , we find the low-lying excitonic states to be extremely localized, producing a nearly flat dispersion. The theoretically obtained excitonic dispersion and behavior are in excellent agreement with RIXS observations. To classify the excitons, we project the electron-hole coupling onto each atomic site including the full manifold of atomic orbitals. We find the excitons to be composed of a linear combination of exciton classes, including Mott-Hubbard, d-d, and charge-transfer. The implication of these excitations to the high-T c pairing mechanism is also discussed.