Long-range Behaviour of the Pair-correlation Function of a Dense Electron Liquid

Abstract

Abstract The large r expansion of the pair-correlation function g(r) is calculated by first-order perturbation theory in the dense metallic electron liquid regime of jellium. The non-oscillatory terms in g(r) - 1 at large r are completely changed from the Hartree-Fock (HF) case, the leading term being ∝ r−8, not r−4 as in the HF result. But the oscillatory terms arising from the sharp Fermi surface, though changed quantitatively from the HF predictions, remain largely intact. These terms, in fact, dominate the large r behaviour.