Two-magnon excitations in resonant inelastic x-ray scattering studied within spin density wave formalism

We study two-magnon excitations in resonant inelastic x-ray scattering (RIXS) at the transition-metal K edge.Instead of working with effective Heisenberg spin models, we work with a Hubbard-type model (d-p model) for a typical insulating cuprate La2CuO4 . For the antiferromagnetic ground state within the spin density wave (SDW) mean-field formalism, we calculate the dynamical correlation function within the random-phase approximation (RPA), and then obtain two-magnon excitation spectra by calculating the convolution of it. Coupling between the K-shell hole and the magnons in the intermediate state is calculated by means of diagrammatic perturbation expansion in the Coulomb interaction. The calculated momentum dependence of RIXS spectra agrees well with that of experiments. A notable difference from previous calculations based on the Heisenberg spin models is that RIXS spectra have a large two-magnon weight near the zone center, which may be confirmed by further carefulhigh-resolution experiments