Nonresonant Raman and inelastic X-ray scattering in the charge-density-wave phase of the spinless Falicov-Kimball model

Abstract

Nonresonant inelastic light and X-ray scattering is investigated for the spinless Falicov-Kimball model on an infinite-dimensional hypercubic lattice with a charge-density-wave phase at half filling. The many-body density of states (DOS) is found for different values of the Coulomb repulsion $U$, ranging from a dirty metal to a Mott insulator. At zero temperature, the charge gap is exactly equal to $U$; increasing the temperature rapidly fills the gap with subgap states. The nonresonant response function for Raman and inelastic X-ray scattering shows peaks connected with transitions over the gap and transitions that involve subgap states. In the case of X-ray scattering (when both energy and momentum are transferred), the response function illustrates features of dynamical screening (vertex corrections) in the different (nonresonant) symmetry channels ($A_{1g}$ and $B_{1g}$). We also derive and verify the first moment sum rules for the (nonresonant) Raman and inelastic X-ray response functions.

19 pages, 17 figures

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Cited by in corpus (3)

• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Resonant Raman scattering effects in a nesting driven charge-density-wave insulator: exact analysis of the spinless Falicov-Kimball model with dynamical mean-field theory
• Electron-hole asymmetry in electron systems with orbital degeneracy and correlated hopping