PreprintarXiv licencearXiv
Current density functional theory in the age of generalized Kohn-Sham theories
Abstract
I review the evolution of electronic non-relativistic current density functional theory (CDFT) from its original formulation in the late 1980's to present day's formulations, which rely on the generalized Kohn-Sham theory. Axel Becke's outstanding contributions are highlighted throughout. I propose a form of the generalized Kohn-Sham equation that combines the exchange-correlation vector potential of the original formulation with an ``effective mass term" -- the latter following from the inclusion of Becke's kinetic energy density as a basic input of the exchange-correlation energy functional.
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BibTeX
@misc{vignale2026current,
title = {{Current density functional theory in the age of generalized Kohn-Sham theories}},
author = {Giovanni Vignale},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30423},
eprint = {2609.30423},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30423},
}
RIS
TY - UNPB
TI - Current density functional theory in the age of generalized Kohn-Sham theories
AU - Giovanni Vignale
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30423
UR - https://arxiv.org/abs/2609.30423
AB - I review the evolution of electronic non-relativistic current density functional theory (CDFT) from its original formulation in the late 1980's to present day's formulations, which rely on the generalized Kohn-Sham theory. Axel Becke's outstanding contributions are highlighted throughout. I propose a form of the generalized Kohn-Sham equation that combines the exchange-correlation vector potential of the original formulation with an ``effective mass term" -- the latter following from the inclusion of Becke's kinetic energy density as a basic input of the exchange-correlation energy functional.
ER -