Dynamic correlations in an electron gas. I. Firstorder perturbation theory
Abstract
Properties of a uniform electron gas in the jellium model are investigated by means of perturbation theory in the electronelectron interaction. Firstorder diagrams for the proper polarizability are evaluated for arbitrary wave vector and frequency, their singularities and analytical properties are examined, and a reliable numerical procedure for calculating them is established. Quantities such as the dielectric function ɛ(k,ω), the dynamiccomplexlocalfield factor G(k,ω), dynamic structure factor S(k,ω), static structure factor S(k), and pair correlation function g(r) are calculated and compared with the corresponding quantities in the randomphase approximation (RPA). The plasmon dispersion in a wide range of momentum transfers and the shape of S(k,ω) versus ω agree well with experimental data for Al, indicating that the firstorder theory is reasonable even at r_{s} as large as 2. Significant improvement over RPA is observed.
 Publication:

Physical Review B
 Pub Date:
 December 1979
 DOI:
 10.1103/PhysRevB.20.4912
 Bibcode:
 1979PhRvB..20.4912H