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.
@article{arxiv.cond-mat/0308269,
title = {Exchange-correlation vector potentials and vorticity-dependent exchange-correlation energy densities in two-dimensional systems},
author = {Andreas Wensauer and Ulrich Rössler},
journal= {arXiv preprint arXiv:cond-mat/0308269},
year = {2009}
}