Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra

Resonant inelastic X-ray scattering (RIXS) is used increasingly for characterizing low-energy collective excitations in materials. RIXS is a powerful probe, which often requires sophisticated theoretical descriptions to interpret the data. In particular, the need for accurate theories describing...

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Main Author: Krzysztof Bieniasz, Steven Johnston, Mona Berciu
Format: Article
Language:English
Published: SciPost 2021-09-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.11.3.062
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author Krzysztof Bieniasz, Steven Johnston, Mona Berciu
author_facet Krzysztof Bieniasz, Steven Johnston, Mona Berciu
author_sort Krzysztof Bieniasz, Steven Johnston, Mona Berciu
collection DOAJ
description Resonant inelastic X-ray scattering (RIXS) is used increasingly for characterizing low-energy collective excitations in materials. RIXS is a powerful probe, which often requires sophisticated theoretical descriptions to interpret the data. In particular, the need for accurate theories describing the influence of electron-phonon ($e$-p) coupling on RIXS spectra is becoming timely, as instrument resolution improves and this energy regime is rapidly becoming accessible. To date, only rather exploratory theoretical work has been carried out for such problems. We begin to bridge this gap by proposing a versatile variational approximation for calculating RIXS spectra in weakly doped materials, for a variety of models with diverse $e$-p couplings. Here, we illustrate some of its potential by studying the role of electron mobility, which is completely neglected in the widely used local approximation based on Lang-Firsov theory. Assuming that the electron-phonon coupling is of the simplest, Holstein type, we discuss the regimes where the local approximation fails, and demonstrate that its improper use may grossly \textit{underestimate} the $e$-p coupling strength.
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spelling doaj.art-777c9562fdc0405685086df025e489bd2022-12-21T19:57:29ZengSciPostSciPost Physics2542-46532021-09-0111306210.21468/SciPostPhys.11.3.062Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectraKrzysztof Bieniasz, Steven Johnston, Mona BerciuResonant inelastic X-ray scattering (RIXS) is used increasingly for characterizing low-energy collective excitations in materials. RIXS is a powerful probe, which often requires sophisticated theoretical descriptions to interpret the data. In particular, the need for accurate theories describing the influence of electron-phonon ($e$-p) coupling on RIXS spectra is becoming timely, as instrument resolution improves and this energy regime is rapidly becoming accessible. To date, only rather exploratory theoretical work has been carried out for such problems. We begin to bridge this gap by proposing a versatile variational approximation for calculating RIXS spectra in weakly doped materials, for a variety of models with diverse $e$-p couplings. Here, we illustrate some of its potential by studying the role of electron mobility, which is completely neglected in the widely used local approximation based on Lang-Firsov theory. Assuming that the electron-phonon coupling is of the simplest, Holstein type, we discuss the regimes where the local approximation fails, and demonstrate that its improper use may grossly \textit{underestimate} the $e$-p coupling strength.https://scipost.org/SciPostPhys.11.3.062
spellingShingle Krzysztof Bieniasz, Steven Johnston, Mona Berciu
Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
SciPost Physics
title Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
title_full Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
title_fullStr Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
title_full_unstemmed Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
title_short Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
title_sort beyond the single site approximation modeling of electron phonon coupling effects on resonant inelastic x ray scattering spectra
url https://scipost.org/SciPostPhys.11.3.062
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