Inelastic X-ray scattering from valence electrons near absorption edges of FeTe and TiSe$_2$

TL;DR

This paper investigates resonant inelastic x-ray scattering (RIXS) in metallic FeTe and semi-metallic TiSe$_2$, demonstrating a theoretical approach to extract dynamical structure factors using effective dielectric functions near absorption edges.

Contribution

It introduces a renormalization group theory framework to describe RIXS cross sections in metallic systems, linking core electron effects to atomic scattering parameters.

Findings

RIXS peaks correspond to low energy particle-hole excitations.

Theoretical model accurately describes RIXS amplitudes.

Method enables extraction of dynamical structure factors from experimental spectra.

Abstract

We study resonant inelastic x-ray scattering (RIXS) peaks corresponding to low energy particle-hole excited states of metallic FeTe and semi-metallic TiSe$_2$ for photon incident energy tuned near the $L_{3}$ absorption edge of Fe and Ti respectively. We show that the cross section amplitudes are well described within a renormalization group theory where the effect of the core electrons is captured by effective dielectric functions expressed in terms of the the atomic scattering parameters $f_1$ of Fe and Ti. This method can be used to extract the dynamical structure factor from experimental RIXS spectra in metallic systems.