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.

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

LONGITUDINAL DYNAMICAL SPIN SUSCEPTIBILITY IN HEISENBERG FERROMAGNETS

2002 ◽  
Vol 16 (31) ◽  
pp. 4743-4754 ◽  
Author(s):  
M. R. PANTIĆ
Keyword(s):  
Mode Coupling ◽  
Heisenberg Model ◽  
Memory Function ◽  
Spin Susceptibility ◽  
Ferromagnetic Phase ◽  
Magnetic Systems ◽  
High Frequencies ◽  
Self Consistent ◽  
Coupling Approximation ◽  
Dynamical Spin

We study the longitudinal dynamical spin susceptibility [Formula: see text] within the framework of Heisenberg model in the ferromagnetic phase, where no external field exists. On the basis of memory function formalism within the framework of the irreducible Green's functions we obtained the self-consistent equations for [Formula: see text] in mode coupling approximation. The expression for the longitudinal spin susceptibility is valid in the whole range of system frequencies. Its validity in the range of low and high frequencies was discussed in particular for the magnetic systems in ferromagnetic phase.

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

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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