scholarly journals Analytical expressions for the local-field factorG(q)and the exchange-correlation kernelKxc(r)of the homogeneous electron gas

1998 ◽  
Vol 57 (23) ◽  
pp. 14569-14571 ◽  
Author(s):  
Massimiliano Corradini ◽  
Rodolfo Del Sole ◽  
Giovanni Onida ◽  
Maurizia Palummo
Keyword(s):  
Local Field ◽  
Electron Gas ◽  
Exchange Correlation ◽  
Analytical Expressions

Exchange-correlation effects on the dynamical spin susceptibility of a homogeneous electron gas

1991 ◽  
Vol 69 (5) ◽  
pp. 573-580 ◽  
Author(s):  
K. L. Liu
Keyword(s):  
Local Field ◽  
Electron Gas ◽  
Spin Susceptibility ◽  
Wave Number ◽  
Large Wave ◽  
Limiting Behavior ◽  
High Frequencies ◽  
Exchange Correlation ◽  
Dynamical Spin ◽  
Local Field Factor

We study the wavevector- and frequency- dependent exchange-correlation local-field factor, [Formula: see text], of the dynamical spin susceptibility, [Formula: see text], of a homogeneous electron gas. For high frequencies we calculate [Formula: see text] diagrammatically to second order in the Coulomb interaction, and consequently find that [Formula: see text] varies as q−2 ω−1/2 for large ω and finite q. We also consider an interpolation formula for [Formula: see text], that yields the exact small- and large- wave-number limits. Making use of these results and the Kramers–Kronig relation, we construct an approximate local-field factor that has the correct limiting behavior for both low and high frequencies.

scholarly journals Dynamic exchange-correlation potentials for the electron gas in dimensionalityD=3andD=2

1998 ◽  
Vol 58 (19) ◽  
pp. 12758-12769 ◽  
Author(s):  
R. Nifosì ◽  
S. Conti ◽  
M. P. Tosi
Keyword(s):  
Electron Gas ◽  
Exchange Correlation ◽  
Dynamic Exchange

scholarly journals Dielectric Function of a Quantum-Confined Thin Film with a Modified Pöschel–Teller Potential

2018 ◽  
Vol 63 (12) ◽  
pp. 1109 ◽  
Author(s):  
Kh. A. Gasanov ◽  
J. I. Guseinov ◽  
I. I. Abbasov ◽  
F. I. Mamedov ◽  
D. J. Askerov
Keyword(s):  
Dielectric Permittivity ◽  
Electron Gas ◽  
Two Dimensional ◽  
Quantum Nanostructures ◽  
Carrier Scattering ◽  
Scattering Potential ◽  
Quantum Confined ◽  
Charge Carrier Scattering ◽  
First Time ◽  
Analytical Expressions

The spatial and time dispersions of the dielectric permittivity of an electron gas in quasi-two-dimensional quantum nanostructures are studied. The screening of the charge-carrier scattering potential in a quantum-confined film with a modified P¨oschel–Teller potential is considered for the first time. Analytical expressions for the dielectric permittivity are obtained.

Local-field correction for the ferromagnetic electron gas

1998 ◽  
Vol 57 (19) ◽  
pp. 12056-12068 ◽  
Author(s):  
Jener J. S. Brito
Keyword(s):  
Local Field ◽  
Electron Gas ◽  
Local Field Correction
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