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

TL;DR

This paper investigates how finite system sizes affect the calculated Fermi liquid properties of the homogeneous electron gas in two and three dimensions, providing insights into extrapolating to the thermodynamic limit.

Contribution

It offers a detailed finite-size analysis of Fermi liquid parameters using field theory within RPA, enhancing understanding of metallic systems.

Findings

Finite-size effects on total energy, renormalization factor, and effective mass are explicitly calculated.

The validity of RPA for general metallic systems is discussed.

Guidelines for extrapolating finite-size results to the thermodynamic limit are provided.

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.