scholarly journals Static Local Field Factor and Ground State Properties of Interacting Electron Gas

2004 ◽  
Vol 106 (4) ◽  
pp. 497-514 ◽  
Author(s):  
A. Sarkar ◽  
S. Haldar ◽  
D. Roy ◽  
D. Sen
Keyword(s):  
Local Field ◽  
Ground State ◽  
Electron Gas ◽  
Ground State Properties ◽  
Local Field Factor

Static Response and Local Field Factor of the Electron Gas

1995 ◽  
Vol 75 (4) ◽  
pp. 689-692 ◽  
Author(s):  
Saverio Moroni ◽  
David M. Ceperley ◽  
Gaetano Senatore
Keyword(s):  
Local Field ◽  
Electron Gas ◽  
Static Response ◽  
Local Field Factor

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.

Electron Density Parameters

1998 ◽  
Vol 12 (17) ◽  
pp. 685-691 ◽  
Author(s):  
Kazimierz F. Wojciechowski
Keyword(s):  
Transition Metals ◽  
Bulk Modulus ◽  
Electron Density ◽  
Ground State ◽  
Fermi Energy ◽  
Electron Gas ◽  
Ground State Properties ◽  
Mobile Part

An analysis of the density parameters r m , of the mobile part of the electron gas in metals and r b , related to the "bonding valence" together with r B , fitted to the bulk modulus and r f , fitted to the Fermi energy is given. It is shown that the ground state properties of the simple metals may be approximately described by one parameter, while those of transition metals by two different density parameters.

Static Local Field Factor for Dielectric Screening Function of Electron Gas at Metallic and Lower Densities

1998 ◽  
Vol 12 (16) ◽  
pp. 639-648 ◽  
Author(s):  
A. Sarkar ◽  
D. Sen ◽  
S. Haldar ◽  
D. Roy
Keyword(s):  
Local Field ◽  
Correlation Energy ◽  
Electron Gas ◽  
Present Formulation ◽  
Consistent Theory ◽  
Long Wavelength ◽  
Electron Correlation Energy ◽  
Dielectric Screening ◽  
Reasonable Prediction ◽  
Local Field Factor

A simple parametric form for the static local field factor G(q) which appears in the dielectric screening theory of an electron gas is proposed. A very accurate fit of Ceperley–Alder data of electron correlation energy in the entire density range using Levin–Weniger interpolant is obtained and used for the calculation of G(q). Both the short- and long- wavelength limits of G(q) are satis ed exactly in the present formulation which ensures fulfilment of a number of other legitimate criteria and produces some interesting results. A comparative study of the various static local eld factors derived so far vis-a-vis the present work is made. Even within the approximations of a static self-consistent theory, reasonable prediction regarding Wigner Crystallization is obtained in the present work.

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