Exchange-correlation energy densities for two-dimensional systems from quantum dot ground-states

TL;DR

This paper introduces a novel method to derive polarization-dependent exchange-correlation energy densities for 2D systems using quantum dot data, revealing systematic high-density corrections.

Contribution

The paper presents a new approach to extract exchange-correlation energy densities from quantum dot data, improving accuracy over previous methods.

Findings

Systematic high-density corrections identified

Method provides polarization-dependent energy densities

Applicable to two-dimensional quantum systems

Abstract

In this paper we present a new approach how to extract polarization-dependent exchange-correlation energy densities for two-dimensional systems from reference densities and energies of quantum dots provided by exact diagonalization. Compared with results from literature we find systematic corrections for all polarizations in the regime of high densities.