Electronic Raman scattering in correlated materials: exact treatment of nonresonant, mixed, and resonant scattering with dynamical mean field theory

Abstract

We solve for the electronic Raman scattering response functions on an infinite-dimensional hypercubic lattice employing dynamical mean field theory. This contribution extends previous work on the nonresonant response to include the mixed and resonant contributions. We focus our attention on the spinless Falicov-Kimball model, where the problem can be solved exactly, and the system can be tuned to go through a Mott-Hubbard-like metal-insulator transition. Resonant effects vary in different scattering geometries, corresponding to the symmetries of the charge excitations scattered by the light. We do find that the Raman response is large near the double resonance, where the transfered frequency is close to the incident photon frequency. We also find a joint resonance of both the charge-transfer peak and the low-energy peak when the incident photon frequency is on the order of the interaction strength. In general, the resonance effects can create order of magnitude (or more) enhancements of features in the nonresonant response, especially when the incident photon frequency is somewhat larger than the frequency of the nonresonant feature. Finally, we find that the resonant effects also exhibit isosbestic behavior, even in the A1g and B2g sectors, and it is most prominent when the incident photon frequency is on the order of the interaction energy.

(20 pages, 13 figures)

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• Two-particle response in Cluster Dynamical Mean-Field Theory: Formalism and application to the Raman Response of High-temperature Superconductors
• EDRIXS: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering
• Symmetry of the Excitations in the Hidden Order State of URu2Si2
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• Stroboscopic Tests for Thermalization of Electrons in Pump/Probe Experiments
• Spectral properties of four-time fermionic Green's functions
• Superconducting pairing and the pseudogap in nematic striped La2-xSrxCuO4
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• Probing Strong Correlations with Light Scattering: the Example of the Quantum Ising model
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• Nonresonant Raman and inelastic X-ray scattering in the charge-density-wave phase of the spinless Falicov-Kimball model
• Resonant electronic Raman scattering near a quantum critical point
• Non-resonant Raman response of inhomogeneous structures in the electron doped $t-t^{\prime }$ Hubbard model
• 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
• Signatures of multiple charge excitations in RIXS spectra of metals
• Nonequilibrium DMFT approach to time-resolved Raman spectroscopy