Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators

TL;DR

This paper uses exact diagonalization to analyze the momentum-dependent excitation spectra in RIXS processes of one-dimensional Mott insulators, providing insights into magnetic excitations and experimental conditions for copper-oxide materials.

Contribution

It presents a detailed theoretical study of RIXS spectra in Hubbard rings, highlighting how to distinguish features and extract material properties from experimental data.

Findings

Identification of key features in groundstate RIXS response.

Dependence of spin and charge excitations on resonance conditions.

Ability to determine core-hole properties from RIXS measurements.

Abstract

We examine the momentum-dependent excitation spectra of indirect as well as direct resonant inelastic x-ray scattering (RIXS) processes in half-filled (extended) Hubbard rings. We determine the fundamental features of the groundstate RIXS response and discuss the experimental conditions that can allow for the low-energy part of these features to be distinguished in one-dimensional copper-oxide materials, focusing particularly on the different magnetic excitations occurring in indirect and direct RIXS processes. We study the dependence of spin and charge excitations on the choice of and detuning from resonance. Moreover, final state excitation weights are calculated as a function of the core-hole potential strength and lifetime. We show that these results can be used to determine material characteristics, such as the core-hole properties, from RIXS measurements.