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We perform a comprehensive analysis of the bimagnon resonant inelastic x-rayscattering (RIXS) intensity spectra of the spatially frustrated Jx-Jy-J2Heisenberg model on a square lattice in both the antiferromagnetic and thecollinear antiferromagnetic phase. We study the model for strong frustrationand significant spatial anisotropy to highlight the key signatures of RIXSspectrum splitting which may be experimentally discernible. Based on aninteracting spin wave theory study within the ladder approximationBethe-Salpeter scheme, we find the appearance of a robust two-peak structureover a wide range of the transferred momenta in both magnetically orderedphases. The unfrustrated model has a single-peak structure with a two-peaksplitting originating due to spatial anisotropy and frustrated interactions.Our predicted two-peak structure from both magnetically ordered regime can berealized in iron pnictides.

Spectrum splitting of bimagnon excitations in a spatially frustrated Heisenberg antiferromagnet revealed by resonant inelastic x-ray scattering