Exchange-correlation vector potentials and vorticity-dependent exchange-correlation energy densities in two-dimensional systems

TL;DR

This paper introduces a novel method for calculating exchange-correlation potentials and energy densities in 2D quantum dots, highlighting the importance of current-induced effects and vorticity dependence.

Contribution

It presents a new approach to derive exchange-correlation potentials and energy densities from current-carrying ground states in two-dimensional systems, emphasizing current effects.

Findings

Increased significance of paramagnetic current density corrections.

Derived exchange-correlation energy densities with vorticity dependence.

Compared with existing parameterizations, showing improved accuracy.

Abstract

We present a new approach how to calculate the scalar exchange-correlation potentials and the vector exchange-correlation potentials from current-carrying ground states of two-dimensional quantum dots. From these exchange-correlation potentials we derive exchange-correlation energy densities and examine their vorticity (or current) dependence. Compared with parameterizations of current-induced effects in literature we find an increased significance of corrections due to paramagnetic current densities.