Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas

Abstract

We analyze the extrapolation to the thermodynamic limit of Fermi liquid properties of the homogeneous electron gas in two and three dimensions. Using field theory, we explicitly calculate finite-size effects of the total energy, the renormalization factor, and the effective mass at the Fermi surface within the random phase approximation (RPA) and discuss the validity for general metallic systems.

6 pages

References in corpus (5)

• The Finite Size Error in Many-body Simulations with long-Ranged Interactions
• The momentum distribution of the homogeneous electron gas
• Quasiparticle effective mass divergence in two dimensional electron systems
• Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid
• Equation of state of two--dimensional ${}^3$He at zero temperature

Cited by in corpus (12)

• Theory of Finite Size Effects for Electronic Quantum Monte Carlo Calculations of Liquids and Solids
• Quantum Monte Carlo study of the three-dimensional spin-polarized homogeneous electron gas
• Overcoming finite-size effects in electronic structure simulations at extreme conditions
• Effective electronic forces and potentials from ab initio path integral Monte Carlo simulations
• Itinerant-electron magnetism: the importance of many-body correlations
• Exact special twist method for quantum Monte Carlo simulations
• Diffusion quantum Monte Carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas
• Effective mass of quasiparticles from thermodynamics
• Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas
• Accelerating convergence to the thermodynamic limit with twist angle selection applied to methods beyond many-body perturbation theory
• Finite-size effects in periodic coupled cluster calculations
• Quantum Monte Carlo study of the quasiparticle effective mass of the two-dimensional uniform electron liquid