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 εc(r s ) = −π2/360 + 0.00845 r 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.