Correlation energy of the paramagnetic electron gas at the thermodynamic limit

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are determined using Slater-Jastrow-backflow trial wave functio...

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Main Authors: Azadi, S, Drummond, ND, Vinko, SM
Format: Journal article
Language:English
Published: American Physical Society 2023
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author Azadi, S
Drummond, ND
Vinko, SM
author_facet Azadi, S
Drummond, ND
Vinko, SM
author_sort Azadi, S
collection OXFORD
description The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are determined using Slater-Jastrow-backflow trial wave functions, and finite-size errors are removed using twist-averaged boundary conditions and extrapolation of the energy per particle to the thermodynamic limit of infinite system size. Our correlation energies in the thermodynamic limit are more accurate than previous results. The present diffusion quantum Monte Carlo energies, together with our recently reported [Phys. Rev. B 105, 245135 (2022)] results at low density, are used to parameterize the correlation energy of the electron gas using a functional form that satisfies the exact asymptotic behavior at high density.
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spelling oxford-uuid:ce01d9ab-3968-42a0-b02f-a76e2c1385c22023-04-12T11:44:35ZCorrelation energy of the paramagnetic electron gas at the thermodynamic limitJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ce01d9ab-3968-42a0-b02f-a76e2c1385c2EnglishSymplectic ElementsAmerican Physical Society2023Azadi, SDrummond, NDVinko, SMThe variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are determined using Slater-Jastrow-backflow trial wave functions, and finite-size errors are removed using twist-averaged boundary conditions and extrapolation of the energy per particle to the thermodynamic limit of infinite system size. Our correlation energies in the thermodynamic limit are more accurate than previous results. The present diffusion quantum Monte Carlo energies, together with our recently reported [Phys. Rev. B 105, 245135 (2022)] results at low density, are used to parameterize the correlation energy of the electron gas using a functional form that satisfies the exact asymptotic behavior at high density.
spellingShingle Azadi, S
Drummond, ND
Vinko, SM
Correlation energy of the paramagnetic electron gas at the thermodynamic limit
title Correlation energy of the paramagnetic electron gas at the thermodynamic limit
title_full Correlation energy of the paramagnetic electron gas at the thermodynamic limit
title_fullStr Correlation energy of the paramagnetic electron gas at the thermodynamic limit
title_full_unstemmed Correlation energy of the paramagnetic electron gas at the thermodynamic limit
title_short Correlation energy of the paramagnetic electron gas at the thermodynamic limit
title_sort correlation energy of the paramagnetic electron gas at the thermodynamic limit
work_keys_str_mv AT azadis correlationenergyoftheparamagneticelectrongasatthethermodynamiclimit
AT drummondnd correlationenergyoftheparamagneticelectrongasatthethermodynamiclimit
AT vinkosm correlationenergyoftheparamagneticelectrongasatthethermodynamiclimit