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 $\Ec(r_s) = -π^2/360 + 0.00845 r_s + ...$, 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 millihartree compared to the benchmark DMC calculations.

7 pages, 2 figures, 3 tables, accepted for publication in J. Chem. Phys

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• Tuning of few-electron states and optical absorption anisotropy in GaAs quantum rings
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• Electronic quantum wires in extended quasiparticle picture
• Effective Summation and Interpolation of Series by Self-Similar Root Approximants