Integral equation theory based dielectric scheme for strongly coupled electron liquids

TL;DR

This paper rigorously formulates and analyzes a dielectric scheme based on integral equation theory for strongly coupled electron liquids, demonstrating high accuracy through comparison with Monte Carlo simulations.

Contribution

It provides a formal derivation of the dielectric scheme and evaluates its numerical performance against simulation data.

Findings

Excellent agreement with Monte Carlo results for interaction energy

Accurate description of the static local field correction at long wavelengths

Validates the integral equation approach for strongly coupled regimes

Abstract

In a recent paper, Lucco Castello et al. [arXiv:2107.03537] provided an accurate parametrization of classical one-component plasma bridge functions that was embedded in a novel dielectric scheme for strongly coupled electron liquids. Here, this approach is rigorously formulated, its set of equations is formally derived and its numerical algorithm is scrutinized. Systematic comparison with available and new path integral Monte Carlo simulations reveals a rather unprecedented agreement especially in terms of the interaction energy and the long wavelength limit of the static local field correction.