High-density correlation energy expansion of the one-dimensional uniform electron gas

Abstract

We show that the expression of the high-density (i.e., small-r(s)) correlation energy per electron for the one-dimensional uniform electron gas can be obtained by conventional perturbation theory and is of the form ε(c)(r(s)) = -π(2)/360 + 0.00845r(s) + ..., where r(s) is the average radius of an electron. Combining these new results with the low-density correlation energy expansion, we propose a local-density approximation correlation functional, which deviates by a maximum of 0.1 mhartree compared to the benchmark diffusion Monte Carlo calculations.