Cumulant Structure Factors of Jellium

Abstract

For the ground state of the homogeneous electron gas (jellium), it is shown how the cumulant decomposition of the 2-matrix leads to the cumulant decomposition of the structure factors S a,p ( q ) for the antiparallel (a) and parallel (p) spin pairs and how it simultaneously allows one to derive the momentum distribution n ( k ), which is a one-body quantity [Phys. Rev. A 86, 012508 (2012)]. The small- q and large- q behavior of S a,p ( q ), and their normalizations are derived and compared with the results of P. Gori-Giorgi et al . [Physica A 280, 199 (2000) and Phys. Rev. B 61, 7353 (2000)].