Self-consistent theory of pair distribution functions and effective interactions in quantum Coulomb liquids

TL;DR

This paper introduces a density-functional theory-based self-consistent method for calculating pair distribution functions and effective interactions in quantum Coulomb liquids, validated against Monte Carlo data across various dimensions and statistics.

Contribution

It presents a new computationally simple self-consistent scheme within density-functional theory for quantum Coulomb liquids, improving accuracy and applicability.

Findings

Accurately predicts pair distribution functions for 2D electron gas.

Validates approach against Monte Carlo data for 3D boson plasma.

Works across different statistics and coupling strengths.

Abstract

We use a density-functional theoretical approach to set up a computationally simple self-consistent scheme to calculate the pair distribution functions and the effective interactions in quantum Coulomb liquids. We demonstrate the accuracy of the approach for different statistics and space dimensionalities by reporting results for a two-dimensional electron gas and for a three-dimensional boson plasma over physically relevant ranges of coupling strength, in comparison with Monte Carlo data.