Ground-state energy of jellium.

Abstract

High- and low-density perturbation expansions for the ground-state energy per particle are utilized to analyze the presumably ``exact'' Monte Carlo data for jellium. In view of some controversy in the literature with regard to the values of the last two coefficients in the high-density non-power-series expansion, we extract from the Monte Carlo data values for these coefficients for both paramagnetic and ferromagnetic fluids. Integral approximants are then employed to obtain a representation of the high-density series at all densities. Comparison with the low-density expansion about the Wigner electron crystal renders millirydberg-accuracy agreement with the Monte Carlo data and excellent agreement in the critical density for Wigner crystallization.