Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid

Drummond, Neil and Needs, R. J. (2009) Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid. Physical review B, 79 (8): 085414. ISSN 1550-235X

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Abstract

We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair-correlation function, static structure factor, and momentum density of the ground state of the two-dimensional (2D) homogeneous electron gas. We have used highly accurate Slater-Jastrow-backflow trial wave functions and twist averaging to reduce finite-size effects where applicable. We compare our results with others in the literature and construct a local-density-approximation exchange-correlation functional for 2D systems.