scholarly journals The on-shell self-energy of the uniform electron gas in its weak-correlation limit

2007 ◽  
Vol 244 (6) ◽  
pp. 2022-2036 ◽  
Author(s):  
P. Ziesche
Keyword(s):  
Electron Gas ◽  
Weak Correlation ◽  
Self Energy ◽  
Uniform Electron Gas

Electron-gas self-energy at metallic density

1988 ◽  
Vol 38 (6) ◽  
pp. 3834-3840 ◽  
Author(s):  
C. Petrillo ◽  
F. Sacchetti
Keyword(s):  
Electron Gas ◽  
Self Energy

RENORMALIZATION OF FERMI VELOCITY IN A COMPOSITE TWO DIMENSIONAL ELECTRON GAS

1993 ◽  
Vol 07 (01n03) ◽  
pp. 87-94 ◽  
Author(s):  
M. WEGER ◽  
L. BURLACHKOV
Keyword(s):  
Electron Gas ◽  
Fermi Velocity ◽  
Bohr Radius ◽  
Dimensional Electron ◽  
Temperature Dependent ◽  
Two Dimensional Electron Gas ◽  
Self Energy ◽  
2D System ◽  
Dimensional Electron Gas ◽  
The One

We calculate the self-energy Σ(k, ω) of an electron gas with a Coulomb interaction in a composite 2D system, consisting of metallic layers of thickness d ≳ a 0, where a 0 = ħ2∊1/ me 2 is the Bohr radius, separated by layers with a dielectric constant ∊2 and a lattice constant c perpendicular to the planes. The behavior of the electron gas is determined by the dimensionless parameters k F a 0 and k F c ∊2/∊1. We find that when ∊2/∊1 is large (≈5 or more), the velocity v(k) becomes strongly k-dependent near k F , and v ( k F ) is enhanced by a factor of 5-10. This behavior is similar to the one found by Lindhard in 1954 for an unscreened electron gas; however here we take screening into account. The peak in v(k) is very sharp (δ k/k F is a few percent) and becomes sharper as ∊2/∊1 increases. This velocity renormalization has dramatic effects on the transport properties; the conductivity at low T increases like the square of the velocity renormalization and the resistivity due to elastic scattering becomes temperature dependent, increasing approximately linearly with T. For scattering by phonons, ρ ∝ T 2. Preliminary measurements suggest an increase in v k in YBCO very close to k F .

Uniform electron gas at warm, dense matter conditions

2013 ◽  
Vol 102 (6) ◽  
pp. 67005 ◽  
Author(s):  
Sandipan Dutta ◽  
James Dufty
Keyword(s):  
Electron Gas ◽  
Dense Matter ◽  
Warm Dense Matter ◽  
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
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