Understanding the relationship between resonant and non-resonant x-ray probes of correlated matter

Authors:
  • CJC. J. Jia
    C. J. Jia
  • CCC. -C. Chen
    C. -C. Chen
  • ASA. P. Sorini
    A. P. Sorini
  • BMB. Moritz
    B. Moritz
  • TDT. P. Devereaux
    T. P. Devereaux

Abstract
A great deal of effort has been devoted to understanding the possible connections between resonant and non-resonant x-ray probes of correlated materials. In this letter we present a comparison between momentum-dependent indirect resonant inelastic x-ray scattering (RIXS) and the dynamical structure factor S(q,\omega) for the single-band Hubbard model. Our results highlight the fact that RIXS exhibits charge as well as spin or multi-magnon energy-loss excitations with a strong incident energy dependence. Although indirect RIXS and S(q,\omega) share a number of the same possible final state excitations, the cross-sections as functions of energy-loss are quite different; and the two spectra can not always be simply connected by resonant prefactors or by other commonly proposed approximation schemes.