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Title: Theory of finite size effects for electronic quantum Monte Carlo calculations of liquids and solids

Journal Article · · Physical Review B
 [1];  [2];  [3];  [2];  [2];  [4]
  1. Univ. Pierre et Marie Curie, Paris (France); Univ. Grenoble Alpes, Grenoble (France); Institut Laue-Langevin, Grenoble Cedex (France)
  2. Univ. of Illinois Urbana-Champaign, Urbana, IL (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  4. Univ. of L'Aquila, L'Aquila (Italy)

we give a general description of the theory of finite size extrapolations of energies of quantum systems to the thermodynamic limit based on one- and two-body correlation functions.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Italian Institute of Technology (IIT); National Science Foundation (NSF)
Grant/Contract Number:
AC52-07NA27344; NA0001789; 259 SIMBEDD; NA0002911
OSTI ID:
1368000
Alternate ID(s):
OSTI ID: 1261702; OSTI ID: 1358609
Report Number(s):
LLNL-JRNL-687062; PRBMDO
Journal Information:
Physical Review B, Vol. 94, Issue 3; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 64 works
Citation information provided by
Web of Science

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Simulation of Many-Electron Systems That Exchange Matter with the Environment: Simulation of Many-Electron Systems That Exchange Matter with the Environment journal August 2018
Benchmarking vdW-DF first-principles predictions against Coupled Electron-Ion Monte Carlo for high-pressure liquid hydrogen journal February 2019
Communication: Finite size correction in periodic coupled cluster theory calculations of solids journal October 2016
Perspective: Explicitly correlated electronic structure theory for complex systems journal February 2017
Properties of the water to boron nitride interaction: From zero to two dimensions with benchmark accuracy journal July 2017
Magnitude of pseudopotential localization errors in fixed node diffusion quantum Monte Carlo journal June 2017
Quantitative estimation of localization errors of 3 d transition metal pseudopotentials in diffusion Monte Carlo journal July 2017
Auxiliary-field quantum Monte Carlo calculations of the structural properties of nickel oxide journal October 2018
An optimized twist angle to find the twist-averaged correlation energy applied to the uniform electron gas journal May 2019
Path integral Monte Carlo simulation of degenerate electrons: Permutation-cycle properties journal July 2019
An auxiliary-Field quantum Monte Carlo perspective on the ground state of the dense uniform electron gas: An investigation with Hartree-Fock trial wavefunctions journal August 2019
Variational and diffusion quantum Monte Carlo calculations with the CASINO code journal April 2020
Liquid–liquid phase transition in hydrogen by coupled electron–ion Monte Carlo simulations journal April 2016
Quantum Monte Carlo calculations of van der Waals interactions between aromatic benzene rings journal May 2018
Correlation energies of the high-density spin-polarized electron gas to meV accuracy text January 2018
Magnitude of pseudopotential localization errors in fixed node diffusion quantum Monte Carlo text January 2017
Properties of the water to boron nitride interaction: from zero to two dimensions with benchmark accuracy text January 2017
QMCPACK : An open source ab initio Quantum Monte Carlo package for the electronic structure of atoms, molecules, and solids text January 2018
Correlation energies of the high-density spin-polarized electron gas to meV accuracy text January 2018
Path Integral Monte Carlo Simulation of Degenerate Electrons: Permutation-Cycle Properties text January 2019
An optimized twist angle to find the twist-averaged correlation energy applied to the uniform electron gas text January 2019
The Strongly Coupled Electron Liquid: ab initio Path Integral Monte Carlo Simulations and Dielectric Theories text January 2019
Variational and Diffusion Quantum Monte Carlo Calculations with the CASINO Code text January 2020