Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas

TL;DR

This paper employs quantum Monte Carlo methods to calculate and analyze the Fermi liquid parameters of the two-dimensional homogeneous electron gas, addressing finite-size effects and compiling the best available parameter estimates.

Contribution

It introduces a QMC-based approach to determine Fermi liquid parameters in 2D HEG and addresses finite-size effects impacting these calculations.

Findings

Finite-size effects significantly hinder direct QMC determination of Fermi liquid parameters.

QMC data can be combined with literature to estimate the best available Fermi liquid parameters.

The study advances understanding of electron interactions in 2D semiconductor systems.

Abstract

Fermi liquid theory is the basic paradigm within which we understand the normal behavior of interacting electron systems, but quantitative values for the parameters that occur in this theory are currently unknown in many important cases. One such case is the two-dimensional homogeneous electron gas (2D HEG), which is realized in a wide variety of semiconductor devices. We have used quantum Monte Carlo (QMC) methods to calculate the Landau interaction functions between pairs of quasiparticles. We use these to study the Fermi liquid parameters, finding that finite-size effects represent a serious obstacle to the direct determination of Fermi liquid parameters in QMC calculations. We have used QMC data in the literature for other properties of the 2D HEG to assemble a set of "best available" values for the Fermi liquid parameters.