Dielectric function and thermodynamic properties of jellium in the GW approximation

Abstract

The fully self-consistent GW approximation is an established method for electronic structure calculations. Its most serious deficiency is known to be an incorrect prediction of the dielectric response. In this work we examine the GW approximation for the homogeneous electron gas and find that problems with the dielectric response are solved by enforcing the particle-number conservation law in the polarization function. Previously reported data for the ground-state energy were plainly contradicting each other well outside of reported error bounds. Some of these results created a false impression of how accurate the fully self-consistent GW approximation is. We resolve this controversy by confirming that only Ref. [15] was reporting correct energy data, and present values for other key Fermi-liquid properties.

References in corpus (7)

• The GW method
• Feynman diagrams versus Fermi-gas Feynman emulator
• Numerical analytic continuation: Answers to well-posed questions
• Self-Consistent Calculation of Total Energies of the Electron Gas Using Many-Body Perturbation Theory
• Coulomb and electron-phonon interactions in metals
• Spectral Analysis by the Method of Consistent Constraints
• Approximation for discrete Fourier transform and application in study of three-dimensional interacting electron gas

Cited by in corpus (8)

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• Effective mass of quasiparticles from thermodynamics
• Quasiparticle Effective Mass of the Three-Dimensional Fermi Liquid by Quantum Monte Carlo
• Real-frequency response functions at finite temperature
• Feynman's solution of the quintessential problem in solid state physics
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases