Theoretical Study of Resonant Inelastic X-ray Scattering for Monopole Density-wave Order and Superconductivity in Weyl Semimetals*

Resonant Inelastic X-ray Scattering (RIXS) spectra can provide useful information for phase-sensitive bulk detection. A difference of RIXS spectra for cross-polarized X-rays has been previously proposed to detect the topological windings of single-particle Weyl nodes in, for example, TaAs. We generalize this idea to investigate various topological excitations near the emergent Weyl nodes in exotic nodal superconducting and density-wave ordered Weyl semimetal systems characterized by monopole harmonic symmetry.