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• W2154944360 abstract "We introduce a new paradigm for one-dimensional uniform electron gases (UEGs). In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. We use Rayleigh-Schrodinger perturbation theory to show that, in the high-density regime, the ground-state reduced (i.e. per electron) energy can be expanded as $eps(r_s,n) = eps_0(n) r_s^{-2} + eps_1(n) r_s^{-1} + eps_2(n) +eps_3(n) r_s + ldots$, where $r_s$ is the Seitz radius. We use strong-coupling perturbation theory and show that, in the low-density regime, the reduced energy can be expanded as $eps(r_s,n) = eta_0(n) r_s^{-1} + eta_1(n) r_s^{-3/2} + eta_2(n) r_s^{-2} + ldots$. We report explicit expressions for $eps_0(n)$, $eps_1(n)$, $eps_2(n)$, $eps_3(n)$, $eta_0(n)$ and $eta_1(n)$ and derive the thermodynamic (large-$n$) limits of each of these. Finally, we perform numerical studies of UEGs with $n = 2, 3, ldots, 10$, using Hylleraas-type and quantum Monte Carlo methods, and combine these with the perturbative results to obtain a picture of the behavior of the new model over the full range of $n$ and $r_s$ values." @default.
• W2154944360 created "2016-06-24" @default.
• W2154944360 creator A5039205389 @default.
• W2154944360 creator A5048687133 @default.
• W2154944360 date "2013-04-28" @default.
• W2154944360 modified "2023-09-26" @default.
• W2154944360 title "Uniform electron gases. I. Electrons on a ring" @default.
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• W2154944360 doi "https://doi.org/10.1063/1.4802589" @default.
• W2154944360 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23635128" @default.
• W2154944360 hasPublicationYear "2013" @default.
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