Resonant inelastic x-ray scattering (RIXS) is an evolving tool for investigating the spin dynamics of strongly correlated materials, which complements inelastic neutron scattering. In isotropic spin-$\frac{1}{2}$ Heisenberg antiferromagnetic (HAFM) spin chains, both techniques have observed non-spin-conserving (NSC) excitations confined to the two-spinon phase space. However, a recent O $K$-edge RIXS study of the one-dimensional HAFM ${\mathrm{Sr}}_2{\mathrm{CuO}}_3$ observed spin-conserving (SC) four-spinon excitations outside the two-spinon phase space. Here, we demonstrate that analogous four-spinon excitations can also be accessed at the Cu $L_3$ edge in the related material ${\mathrm{SrCuO}}_2$. Through detailed modeling, we establish that these excitations appear in both the SC and NSC channels of the Cu $L_3$ edge, and are only captured by higher-order terms in the ultrashort core-hole lifetime expansion. Since these terms encode information about spin-spin correlations extending beyond nearest neighbors, our results offer different possibilities for studying nonlocal spin correlations in quantum magnets.

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• Superconducting fluctuations
• 1-dimensional spin chains
• Cuprates
• High-temperature superconductors
• Exact diagonalization
• Methods in superconductivity
• Perturbation theory
• Resonant inelastic x-ray scattering