SPIN CORRELATIONS IN ELECTRON LIQUIDS - ANALYTICAL RESULTS FOR THE LOCAL-FIELD CORRECTION IN 2-DIMENSIONS AND 3-DIMENSIONS

We study the spin correlations in two-and three-dimensional electron l iquids within the sum-rule version of the self-consistent field approa ch of Singwi, Tosi, Land, and Sjolander. Analytic expressions for the spin-antisymmetric static structure factor and the corresponding local -field correction are obtained with density dependent coefficients. We calculate the spin-dependent pair-correlation functions, paramagnon d ispersion, and static spin-response function within the present model, and discuss the spin-density wave instabilities in double-layer elect ron systems.