scholarly journals Erratum: Correlation energy of the uniform electron gas from an interpolation between high- and low-density limits [Phys. Rev. B 81, 085123 (2010)]

2018 ◽  
Vol 98 (7) ◽  
Author(s):  
Jianwei Sun ◽  
John P. Perdew ◽  
Michael Seidl
Keyword(s):  
Correlation Energy ◽  
Electron Gas ◽  
Low Density ◽  
Uniform Electron Gas

scholarly journals An optimized twist angle to find the twist-averaged correlation energy applied to the uniform electron gas

2019 ◽  
Vol 150 (19) ◽  
pp. 191101 ◽  
Author(s):  
Tina N. Mihm ◽  
Alexandra R. McIsaac ◽  
James J. Shepherd
Keyword(s):  
Correlation Energy ◽  
Twist Angle ◽  
Electron Gas ◽  
Uniform Electron Gas

GROUND-STATE ENERGY OF THE ELECTRON GAS WITH THE MODIFIED COULOMB POTENTIAL 1/rp

2011 ◽  
Vol 25 (15) ◽  
pp. 2019-2030
Author(s):  
LIANGJIE FU ◽  
YUAN CHEN
Keyword(s):  
Ground State Energy ◽  
Coulomb Potential ◽  
Ground State ◽  
State Energy ◽  
Correlation Energy ◽  
Electron Gas ◽  
High Density ◽  
Low Density ◽  
Density Limit ◽  
Low Density Limit

In this paper, due to the effect of positively-charged screening holes, Coulomb potential energy 1/r is modified to be 1/rp, which is assumed to deviate slightly from the former. Using many-body perturbation theory, we obtain a simple analytic representation of the ground-state energy and correlation energy for a uniform electron gas. Our results agree with those obtained by the numerical and semi-analytic methods at low-density limit. Higher ground-state energies at high-density limit are calculated from our model. High order r expansion terms are found at high-density region. A curve of transition density versus p is drawn via the Misawa spin-scaling relation, which is in consistent with Perdew's study at low-density limit.

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