American Physical Society, Physical Review B (Condensed Matter), 16(48), p. 12037-12046, 1993
DOI: 10.1103/physrevb.48.12037
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We investigate the effects of three-body and backflow correlations on ground-state properties of the two-dimensional electron gas by both variational and fixed-node Green's function Monte Carlo methods. It is found that the backflow effect is dominant over the three-body effect at high density (rs~1) while they are of equal importance at the lowest density considered (rs~20). With these correlations, we find significant improvements in both variational and fixed-node energies over the Slater-Jastrow results which consider only two-body correlation. The effects are comparable to those in bulk 3He. We present an analytic expression for the correlation energy of the two-dimensional electron gas as a function of the density.