Correlation energy of the spin-polarized electron liquid by quantum Monte Carlo

Abstract

Variational and diffusion quantum Monte Carlo (VMC and DMC) methods with Slater-Jastrow-backflow trial wave functions are used to study the spin-polarized three-dimensional uniform electron fluid. We report ground state VMC and DMC energies in the density range $0.5 \leq r_\text{s} \leq 20$. Finite-size errors are corrected using canonical-ensemble twist-averaged boundary conditions and extrapolation of the twist-averaged energy per particle calculated at three system sizes (N=113, 259, and 387) to the thermodynamic limit of infinite system size. The DMC energies in the thermodynamic limit are used to parameterize a local spin density approximation correlation function for inhomogeneous electron systems.

Figures (1)

• Figure 1: Difference between FS corrections obtained analytically and by extrapolation to infinite system size using Eq. (\ref{['eq:fs_extrap']}), plotted against density parameter $r_\text{s}$.