Optical sum rules that relate to the potential energy of strongly correlated systems

Abstract

A class of sum rules for inelastic light scattering is developed. We show that the first moment of the non-resonant response provides information about the potential energy in strongly correlated systems. The polarization dependence of the sum rules provide information about the electronic excitations in different regions of the Brillouin zone. We determine the sum rule for the Falicov-Kimball model, which possesses a metal-insulator transition, and compare our results to the light scattering experiments in SmB_6.

(5 pages, 3 figures, typeset in ReVTeX)

References in corpus (6)

• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Observation of an unconventional metal-insulator transition in overdoped CuO_2 compounds
• Optical sum rule violation, superfluid weight and condensation energy in the cuprates
• Raman scattering through a metal-insulator transition
• The c-axis optical sum rule and possible new collective mode in LSCO
• Sum rule analysis of Umklapp processes and Coulomb energy: application to cuprate superconductivity

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• Breakdown of the Kondo insulating state in SmB6 by introducing Sm vacancies
• Superconducting pairing and the pseudogap in nematic striped La2-xSrxCuO4
• Fluctuations and pairing in Fe-based superconductors: Light scattering experiments
• Sum-rules for Raman scattering off strongly correlated electron systems
• Superconductivity and fluctuation in Ba${}_{1-p}$K${}_p$Fe${}_2$As${}_2$ and Ba(Fe${}_{1-n}$Co${}_n$)${}_2$As${}_2$
• Anisotropic Kondo pseudo-gap in URu2Si2
• Nonresonant Raman and inelastic X-ray scattering in the charge-density-wave phase of the spinless Falicov-Kimball model
• Nonresonant Raman Scattering in Extremely Correlated Fermi Liquids
• Chiral electronic excitations and strong electron-phonon coupling to Weyl fermions in the Kagome semimetal Co${}_3$Sn${}_2$S${}_2$