Radial distribution function in a diffusion Monte Carlo simulation of a Fermion fluid between the ideal gas and the Jellium model

Abstract

We study, through the diffusion Monte Carlo method, a spin one-half fermion fluid, in the three dimensional Euclidean space, at zero temperature. The point particles, immersed in a uniform "neutralizing" background, interact with a pair-potential which can be continuously changed from zero to the Coulomb potential depending on a parameter $\mu$. We determine the radial distribution functions of the system for various values of density, $\mu$, and polarization. We discuss about the importance, in a computer experiment, of the choice of suitable estimators to measure a physical quantity. The radial distribution function is determined through the usual histrogram estimator and through an estimator determined via the use of the Hellmann and Feynman theorem. In a diffusion Monte Carlo simulation the latter route introduces a new bias to the measure of the radial distribution function due to the choice of the auxiliary function. This bias is independent from the usual one due to the choice of the trial wave function. A brief account of the results from this study were presented in a recent communication [R. Fantoni, Solid State Communications, {\bf 159}, 106 (2013)].

39 pages, 8 figures, 4 tables

References in corpus (6)

• The Finite Size Error in Many-body Simulations with long-Ranged Interactions
• Applications of quantum Monte Carlo methods in condensed systems
• Range-separated density-functional theory with random phase approximation applied to noncovalent intermolecular interactions
• Zero-variance zero-bias quantum Monte Carlo estimators of the spherically and system-averaged pair density
• Hellman-Feynman operator sampling in Diffusion Monte Carlo calculations
• Hellmann and Feynman theorem versus diffusion Monte Carlo experiment

Cited by in corpus (7)

• Jellium at finite temperature using the restricted worm algorithm
• White-dwarfs equation of state and structure: The effect of temperature
• One-component fermion plasma on a sphere at finite temperature. The anisotropy in the paths conformations
• Thermodynamic limit of the free electron gas on a circle
• Static screening in a degenerate electron plasma
• Coherent State Path Integral Monte Carlo
• Sum Rules in Quantum Liquids