A combined variational and diagrammatic quantum Monte Carlo approach to the many-electron problem

K Chen, K Haule - Nature communications, 2019 - nature.com
Two of the most influential ideas developed by Richard Feynman are the Feynman diagram
technique and his variational approach. Here we show that combining both, and introducing …

Quantitative electron-electron interaction using local field factors from quantum Monte Carlo calculations

CA Kukkonen, K Chen - Physical Review B, 2021 - APS
The effective electron-electron interaction in electron gas depends on both the density and
spin local field factors. Variational diagrammatic quantum Monte Carlo calculations of the …

Static self-energy and effective mass of the homogeneous electron gas from quantum monte carlo calculations

M Holzmann, F Calcavecchia, DM Ceperley… - Physical review …, 2023 - APS
We discuss the methodology of quantum Monte Carlo calculations of the effective mass
based on the static self-energy Σ (k, 0). We then use variational Monte Carlo calculations of …

Momentum distribution of the homogeneous electron gas

M Holzmann, B Bernu, C Pierleoni, J McMinis… - Physical review …, 2011 - APS
We calculate the off-diagonal density matrix of the homogeneous electron gas at zero
temperature<? format?> using unbiased reptation Monte Carlo calculations for various …

Quasiparticle effective mass of the three-dimensional fermi liquid by quantum monte carlo

S Azadi, ND Drummond, WMC Foulkes - Physical Review Letters, 2021 - APS
According to Landau's Fermi liquid theory, the main properties of the quasiparticle
excitations of an electron gas are embodied in the effective mass m*, which determines the …

Dynamically screened vertex correction to

Y Pavlyukh, G Stefanucci, R van Leeuwen - Physical Review B, 2020 - APS
Diagrammatic perturbation theory is a powerful tool for the investigation of interacting many-
body systems, the self-energy operator Σ encoding all the variety of scattering processes. In …

Single-particle excitations in the uniform electron gas by diagrammatic Monte Carlo

K Haule, K Chen - Scientific reports, 2022 - nature.com
We calculate the single-particle excitation spectrum and the Landau liquid parameters for
the archetypal model of solids, the three-dimensional uniform electron gas, with the …

of two-dimensional electron gas: A neural canonical transformation study

H Xie, L Zhang, L Wang - SciPost Physics, 2023 - scipost.org
The quasiparticle effective mass $ m^\ast $ of interacting electrons is a fundamental quantity
in the Fermi liquid theory. However, the precise value of the effective mass of uniform …

Low-energy peak in the one-particle spectral function of the electron gas at metallic densities

Y Takada - Physical Review B, 2024 - APS
Based on a nonperturbative scheme to determine the self-energy Σ (k, i ω n) with
automatically satisfying the Ward identity and the total-momentum conservation law, a fully …

One-electron spectra and susceptibilities of the three-dimensional electron gas from self-consistent solutions of Hedin's equations

AL Kutepov, G Kotliar - Physical Review B, 2017 - APS
A few approximate schemes to solve the Hedin equations self-consistently introduced in
Phys. Rev. B 94, 155101 (2016) 1098-0121 10.1103/PhysRevB. 94.155101 are explored …