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

Abstract

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 longwavelength limits of G(q) are satisfied 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 field 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.PACS Number(s): 71.00, 71.45G * B. K. Girls' College,

Superconducting state parameters of binary metallic glasses

“…In the present investigation, the local field correction functions due to H [31], T [32], IU [33], F [34] and S [35] are incorporated to determine the impact of exchange and correlation effects. The details of all the local field corrections are below.…”

“…(9)- (10), Sarkar et al (S) [35] have proposed a simple form of local field correction function, which is as follows:…”

“…In most of these studied, Ashcroft's empty core (EMC) model potential [28] is adopted in the calculation. But, nobody has used Hartree (H) [31], Taylor (T) [32], Ichimaru-Utsumi (IU) [33], Farid et al (F) [34] and Sarkar et al (S) [35] local field correction functions in their computation of the SSPs. In the present computation, the use of the pseudo-alloy-atom model (PAA) is proposed and found successful.…”

“…electron-phonon coupling strength λ, Coulomb pseudopotential µ * , transition temperature T C , isotope effect exponent αand effective interaction strength N O V of some binary metallic glasses based on the superconducting (S), conditional superconducting (S') and non-superconducting (NS) elements of the periodic table on the basis of Ashcroft's empty core (EMC) model potential [28]. Five local field correction functions proposed by Hartree (H) [31], Taylor (T) [32], Ichimaru-Utsumi (IU) [33], Farid et al (F) [34] and Sarkar et al (S) [35] are used for the first time in the present investigation to study the screening influence on the aforesaid properties.…”

Structure and collective dynamics of liquid sodium

“…al. [18] is used in the present study in order to incorporate the exchange and correlation effects. The function is,…”