Fixed-node errors in real space quantum Monte Carlo at high densities: closed-shell atomic correlation energies

Fuente: arXiv
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Autore principale: Mitas, Lubos
Natura: Preprint
Pubblicazione: 2024
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author Mitas, Lubos
author_facet Mitas, Lubos
contents We consider non-relativistic electron correlation energies of heavy noble gas atoms including the superheavy element Og. The corresponding data enables us to quantify fixed-node errors in real space quantum Monte Carlo methods as a function of the atomic number $Z$. We confirm that single-reference trial function nodes lead to an overall trend of mild decrease in recovered correlation energy with the increasing $Z$. This agrees with our previous study that has shown increasing fixed-node biases with the increasing electron density. We also estimate the value of the linear term in the asymptotic expansion of the atomic correlation energy.
format Preprint
id arxiv_https___arxiv_org_abs_2406_11083
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fixed-node errors in real space quantum Monte Carlo at high densities: closed-shell atomic correlation energies
Mitas, Lubos
Strongly Correlated Electrons
We consider non-relativistic electron correlation energies of heavy noble gas atoms including the superheavy element Og. The corresponding data enables us to quantify fixed-node errors in real space quantum Monte Carlo methods as a function of the atomic number $Z$. We confirm that single-reference trial function nodes lead to an overall trend of mild decrease in recovered correlation energy with the increasing $Z$. This agrees with our previous study that has shown increasing fixed-node biases with the increasing electron density. We also estimate the value of the linear term in the asymptotic expansion of the atomic correlation energy.
title Fixed-node errors in real space quantum Monte Carlo at high densities: closed-shell atomic correlation energies
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2406.11083