Dynamic exchange-correlation effects in the strongly coupled electron liquid

Fuente: arXiv
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Autores principales: Dornheim, Tobias, Tolias, Panagiotis, Kalkavouras, Fotios, Moldabekov, Zhandos, Vorberger, Jan
Formato: Preprint
Publicado: 2024
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author Dornheim, Tobias
Tolias, Panagiotis
Kalkavouras, Fotios
Moldabekov, Zhandos
Vorberger, Jan
author_facet Dornheim, Tobias
Tolias, Panagiotis
Kalkavouras, Fotios
Moldabekov, Zhandos
Vorberger, Jan
contents We present the first quasi-exact \textit{ab initio} path integral Monte Carlo (PIMC) results for the dynamic local field correction $\widetilde{G}(\mathbf{q},z_l;r_s,Θ)$ in the imaginary Matsubara frequency domain, focusing on the strongly coupled finite temperature uniform electron gas. These allow us to investigate the impact of dynamic exchange--correlation effects onto the static structure factor. Our results provide a straightforward explanation for previously reported spurious effects in the so-called \textit{static approximation} [Dornheim \textit{et al.}, \textit{Phys.~Rev.~Lett.}~\textbf{125}, 235001 (2020)], where the frequency-dependence of the local field correction is neglected. Our findings hint at the intriguing possibility of constructing an analytical four-parameter representation of $\widetilde{G}(\mathbf{q},z_l;r_s,Θ)$ valid for a substantial part of the phase diagram, which would constitute key input for thermal density functional theory simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2405_08480
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dynamic exchange-correlation effects in the strongly coupled electron liquid
Dornheim, Tobias
Tolias, Panagiotis
Kalkavouras, Fotios
Moldabekov, Zhandos
Vorberger, Jan
Strongly Correlated Electrons
Chemical Physics
Plasma Physics
We present the first quasi-exact \textit{ab initio} path integral Monte Carlo (PIMC) results for the dynamic local field correction $\widetilde{G}(\mathbf{q},z_l;r_s,Θ)$ in the imaginary Matsubara frequency domain, focusing on the strongly coupled finite temperature uniform electron gas. These allow us to investigate the impact of dynamic exchange--correlation effects onto the static structure factor. Our results provide a straightforward explanation for previously reported spurious effects in the so-called \textit{static approximation} [Dornheim \textit{et al.}, \textit{Phys.~Rev.~Lett.}~\textbf{125}, 235001 (2020)], where the frequency-dependence of the local field correction is neglected. Our findings hint at the intriguing possibility of constructing an analytical four-parameter representation of $\widetilde{G}(\mathbf{q},z_l;r_s,Θ)$ valid for a substantial part of the phase diagram, which would constitute key input for thermal density functional theory simulations.
title Dynamic exchange-correlation effects in the strongly coupled electron liquid
topic Strongly Correlated Electrons
Chemical Physics
Plasma Physics
url https://arxiv.org/abs/2405.08480