Static self energy and effective mass of the homogeneous electron gas from Quantum Monte Carlo calculations

2023/05/03 by Markus Holzmann, Holzmann, Markus, Francesco Calcavecchia +5 · 2 citations
Chemical Engineering · Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Catalysis and Oxidation Reactions #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2305.02274

openalex publication_date 2023/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 Σ(k,0) of the homogeneous electron gas at various densities to obtain results very close to perturbative G₀ W₀ calculations for values of the density parameter 1 ≤ r_s ≤ 10. The obtained values for the effective mass are close to diagrammatic Monte Carlo results and disagree with previous quantum Monte Carlo calculations based on a heuristic mapping of excitation energies to those of an ideal gas.

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• Superconductivity in Electron Liquids: Precision Many-Body Treatment of Coulomb Interaction
• Quantum Monte Carlo study of the quasiparticle effective mass of the two-dimensional uniform electron liquid

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