Total electronic Raman scattering in the charge-density-wave phase of the spinless Falicov-Kimball model

The total electronic Raman scattering spectrum, including the nonresonant, mixed and resonant components, is determined for the charge-density-wave (CDW) phase of the spinless Falicov-Kimball model at half filling within dynamical mean-field theory. Its frequency dependence is investigated for different values of the energy of the incident photons. The spectra reflect the different structures in the density of states and how they are modified by screening and resonance effects. The calculations are performed for the $B_{\rm 1g}$, $B_{\rm 2g}$ and $A_{\rm 1g}$ symmetries (which are typically examined in experiment). Our results for the resonance effects of the Raman spectra, found by tuning the energy of the incident photons, give information about the many-body charge dynamics of the CDW-ordered phase.