Pair-correlation function of the electron gas with long-range Coulomb interaction: Ladder theory

1998 ◽  
Vol 57 (3) ◽  
pp. 1436-1443 ◽  
Author(s):  
L. Calmels ◽  
A. Gold
Keyword(s):  
Correlation Function ◽  
Long Range ◽  
Coulomb Interaction ◽  
Pair Correlation Function ◽  
Pair Correlation ◽  
Electron Gas

Comment on an inconsistent derivation of the pair correlation function in the electron gas

1979 ◽  
Vol 20 (12) ◽  
pp. 5398-5399 ◽  
Author(s):  
L. F. Lemmens ◽  
F. Brosens ◽  
J. T. Devreese
Keyword(s):  
Correlation Function ◽  
Pair Correlation Function ◽  
Pair Correlation ◽  
Electron Gas

Finite-T correlations and free exchange-correlation energy of quasi-one-dimensional electron gas

2018 ◽  
Vol 32 (05) ◽  
pp. 1850060 ◽  
Author(s):  
Vinayak Garg ◽  
Akariti Sharma ◽  
R. K. Moudgil
Keyword(s):  
Correlation Function ◽  
Pair Correlation Function ◽  
Correlation Energy ◽  
Pair Correlation ◽  
Electron Gas ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Exchange Correlation ◽  
Dimensional Electron Gas ◽  
Plasmon Dispersion

We have studied the effect of temperature on static density–density correlations and plasmon excitation spectrum of quasi-one-dimensional electron gas (Q1DEG) using the random phase approximation (RPA). Numerical results for static structure factor, pair-correlation function, static density susceptibility, free exchange-correlation energy and plasmon dispersion are presented over a wide range of temperature and electron density. As an interesting result, we find that the short-range correlations exhibit a non-monotonic dependence on temperature T, initially growing stronger (i.e. the pair-correlation function at small inter-electron spacing assuming relatively smaller values) with increasing T and then weakening above a critical T. The cross-over temperature is found to increase with increasing coupling among electrons. Also, the [Formula: see text] peak in the static density susceptibility [Formula: see text] at T = 0 K smears out with rising T. The free exchange-correlation energy and plasmon dispersion show a significant variation with T, and the trend is qualitatively the same as in higher dimensions.

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