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

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.

References in corpus (9)

• Correlation energy and spin polarization in the 2D electron gas
• Jastrow correlation factor for atoms, molecules, and solids
• Twist-averaged Boundary Conditions in Continuum Quantum Monte Carlo
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• Effects of Backflow Correlation in the Three-Dimensional Electron Gas: Quantum Monte Carlo Study
• Finite-size errors in continuum quantum Monte Carlo calculations
• A variance-minimization scheme for optimizing Jastrow factors
• Pair-distribution functions of the two-dimensional electron gas
• The on-top pair-correlation density in the homogeneous electron liquid

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• Thinking outside the box: the uniform electron gas on a hypersphere
• One-electron spectra and susceptibilities of 3D electron gas from self-consistent solutions of Hedin's equations
• Quantum Monte Carlo calculation of the energy band and quasiparticle effective mass of the two-dimensional Fermi fluid
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• Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas
• Quantum Monte Carlo calculation of the zero-temperature phase diagram of the two-component fermionic hard-core gas in two dimensions
• Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas
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• Benchmark Quantum Monte Carlo calculations of the ground-state kinetic, interaction, and total energy of the three-dimensional electron gas
• Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas
• Quantum Monte Carlo study of the phase diagram of the two-dimensional uniform electron liquid
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• Quantum Monte Carlo study of the two-dimensional ferromagnet
• Charge compressibility and quantum magnetic phase transition in MoS${}_2$
• Scaling behavior of the Compton profile of alkali metals
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• Electronic Crystal Phases in the Presence of Non-Uniform Berry Curvature and Tunable Berry Flux: The ${\lambda }_N$-Jellium model
• Quantum melting a Wigner crystal into Hall liquids