Abstract
The authors recently evaluated the local field factor, G(q) of the electron gas by accurate fixed-node diffusion Monte Carlo (DMC) simulations. Here, the G(q) obtained from a simple fit to the DMC results and from several approximations available in the literature is used to derive the effective pair potential (r) in simple metals within second-order perturbation theory. Using a local electron-ion pseudopotential, it is found that is determined mostly by the behavior of G(q) at q ča. 2 q F, where the DMC data are well reproduced by the local field within local density approximation, G LDA( c) = A(q /q F) 2 with A related to the compressibility of the uniform electron gas.
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