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Title: Path-Integral Monte Carlo Simulation of the Warm Dense Homogeneous Electron Gas

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States). Dept. of Physics
  2. Microsoft Research, Santa Barbara, CA (United States)
  3. Univ. of Illinois at Urbana-Champaign, IL (United States). Dept. of Physics
  4. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

We perform calculations of the 3D finite-temperature homogeneous electron gas in the warm-dense regime $$(r_s ≡ (3/4πn)^{1/3}a^{-1}_0 = 1.0 – 40.0$$ and $$Θ ≡ T/T_F = 0.0625 – 8.0)$$ using restricted path-integral Monte Carlo simulations. Precise energies, pair correlation functions, and structure factors are obtained. For all densities, we find a significant discrepancy between the ground state parametrized local density approximation and our results around $$T_F$$. These results can be used as a benchmark for developing finite-temperature density functionals, as well as input for orbital-free density function theory formulations.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC52-07NA27344; FG52-09NA29456
OSTI ID:
1565066
Alternate ID(s):
OSTI ID: 1104440
Journal Information:
Physical Review Letters, Vol. 110, Issue 14; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 160 works
Citation information provided by
Web of Science

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Cited By (29)

Exchange-Correlation Effects in a Finite-Temperature Quasi-One-Dimensional Electron Gas journal September 2018
The uniform electron gas: The uniform electron gas journal April 2016
A viscous quantum hydrodynamics model based on dynamic density functional theory journal November 2017
First-principles equation of state and electronic properties of warm dense oxygen journal October 2015
Path integral Monte Carlo simulation of degenerate electrons: Permutation-cycle properties journal July 2019
Heat capacity and electrical conductivity of plasmon excitations journal July 2019
Fano resonance of collective excitations in 1D plasmonic crystal journal June 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
The static local field correction of the warm dense electron gas: An ab initio path integral Monte Carlo study and machine learning representation journal November 2019
Discovering correlated fermions using quantum Monte Carlo journal August 2016
Functional theories of thermoelectric phenomena journal December 2016
First-principles equation of state calculations of warm dense nitrogen journal February 2016
Theory of finite size effects for electronic quantum Monte Carlo calculations of liquids and solids journal July 2016
Thermal effects on the Wigner localization and Friedel oscillations in many-electron nanowires journal September 2016
Fermion sign problem in path integral Monte Carlo simulations: Quantum dots, ultracold atoms, and warm dense matter journal August 2019
Importance of finite-temperature exchange correlation for warm dense matter calculations journal June 2016
Development of Path Integral Monte Carlo Simulations with Localized Nodal Surfaces for Second-Row Elements journal October 2015
First Principles Methods: A Perspective from Quantum Monte Carlo journal December 2013
Development of Path Integral Monte Carlo Simulations with Localized Nodal Surfaces for Second-Row Elements text January 2015
The uniform electron gas preprint January 2016
The importance of finite-temperature exchange-correlation for warm dense matter calculations text January 2016
First-Principles Equation of State and Electronic Properties of Warm Dense Oxygen text January 2016
Functional theories of thermoelectric phenomena text January 2016
Nonempirical Semi-local Free-Energy Density Functional for Matter Under Extreme Conditions text January 2016
Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions text January 2017
Path Integral Monte Carlo Simulation of Degenerate Electrons: Permutation-Cycle Properties text January 2019
The Fermion Sign Problem in Path Integral Monte Carlo Simulations: Quantum Dots, Ultracold Atoms, and Warm Dense Matter text January 2019
The Strongly Coupled Electron Liquid: ab initio Path Integral Monte Carlo Simulations and Dielectric Theories text January 2019
Local Density Approximation for the Short-Range Exchange Free Energy Functional journal April 2019

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