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

TL;DR

This paper employs advanced quantum Monte Carlo techniques to accurately analyze the ground state properties of a two-dimensional electron gas, providing new data and a local-density approximation functional for 2D systems.

Contribution

It introduces highly accurate trial wave functions and twist averaging in quantum Monte Carlo simulations for 2D electron gases, and constructs a new exchange-correlation functional.

Findings

Calculated energy, pair correlation, structure factor, and momentum density of 2D electron gas

Compared results with existing literature for validation

Developed a local-density-approximation functional for 2D systems

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 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.