Skip navigation
Skip navigation

Uniform electron gases. I. Electrons on a ring

Loos, Pierre-François; Gill, Peter M. W.

Description

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-Schrödinger perturbation theory to show that, in the high-density regime, the ground-state reduced (i.e., per electron) energy can be expanded as ε(rs,n)=ε0(n)r−2s+ε1(n)r−1s+ε2(n)+ε3(n)rs+⋯ , where r s is the Seitz radius. We use strong-coupling perturbation theory and show that, in the low-density regime, the...[Show more]

CollectionsANU Research Publications
Date published: 2013-04-30
Type: Journal article
URI: http://hdl.handle.net/1885/15622
Source: Journal of Chemical Physics
DOI: 10.1063/1.4802589

Download

File Description SizeFormat Image
01_Loos_Uniform_electron_gases._I._2013.pdfPublished Version2.72 MBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator