We develop the theory for nonresonant Raman scattering of strongly correlated electrons in time-resolved pump- probe experiments. The electrons are initially pumped with an intense pulse of light and then a probe pulse measures the Raman response function after an adjustable time delay. We describe how the width of the probe pulse and the strength of the electron correlations affect the Raman cross section. The theory is developed for the case of B1g symmetry, where incident and scattered light are polarized perpendicular to each other. We illustrate the exact solution with the Falicov-Kimball model, which is solved via nonequilibrium dynamical mean-field theory.We develop the theory for nonresonant Raman scattering of strongly correlated electrons in time-resolved pump- probe experiments. The electrons are initially pumped with an intense pulse of light and then a probe pulse measures the Raman response function after an adjustable time delay. We describe how the width of the probe pulse and the strength of the electron correlations affect the Raman cross section. The theory is developed for the case of B1g symmetry, where incident and scattered light are polarized perpendicular to each other. We illustrate the exact solution with the Falicov-Kimball model, which is solved via nonequilibrium dynamical mean-field theory.

Ultrafast Bandgap PhotonicsMay 8, 20183 citations

Raman scattering: a solvable model

Carla Buzano, Mario Rasetti, P. T. Valabrega

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento BFeb 1, 19811 citation

Investigation of particle-hole asymmetry in the cuprates via electronic Raman scattering

Brian Moritz, Steven Johnston, Thomas Devereaux +7 more

In this paper we examine the effects of electron-hole asymmetry as a consequence of strong correlations on the electronic Raman scattering in the normal state of copper oxide high-temperature superconductors. Using determinant quantum Monte Carlo simulations of the single-band Hubbard model, we construct the electronic Raman response from single-particle Green's functions and explore the differences in the spectra for electron and hole doping away from half filling. The theoretical results are compared to new and existing Raman scattering experiments on hole-doped La${}_{2\ensuremath{-}x}$Sr ${}_{x}$ CuO ${}_{4}$ and electron-doped Nd${}_{2\ensuremath{-}x}$Ce ${}_{x}$ CuO ${}_{4}$ . These findings suggest that the Hubbard model with fixed interaction strength qualitatively captures the doping and temperature dependence of the Raman spectra for both electron and hole doped systems, indicating that the Hubbard parameter $U$ does not need to be doping dependent to capture the essence of this asymmetry.In this paper we examine the effects of electron-hole asymmetry as a consequence of strong correlations on the electronic Raman scattering in the normal state of copper oxide high-temperature superconductors. Using determinant quantum Monte Carlo simulations of the single-band Hubbard model, we construct the electronic Raman response from single-particle Green's functions and explore the differences in the spectra for electron and hole doping away from half filling. The theoretical results are compared to new and existing Raman scattering experiments on hole-doped La${}_{2\ensuremath{-}x}$Sr${}_{x}$CuO${}_{4}$ and electron-doped Nd${}_{2\ensuremath{-}x}$Ce${}_{x}$CuO${}_{4}$. These findings suggest that the Hubbard model with fixed interaction strength qualitatively captures the doping and temperature dependence of the Raman spectra for both electron and hole doped systems, indicating that the Hubbard parameter $U$ does not need to be doping dependent to capture the essence of this asymmetry.

arXiv:1106.5798Physical Review BDec 5, 201116 citations

{}_{x}

CuO

{}_{4}

and electron-doped Nd${}_{2\ensuremath{-}x}$Ce

{}_{x}

CuO

{}_{4}

. These findings suggest that the Hubbard model with fixed interaction strength qualitatively captures the doping and temperature dependence of the Raman spectra for both electron and hole doped systems, indicating that the Hubbard parameter

U

does not need to be doping dependent to capture the essence of this asymmetry.