Revisiting density-functional theory of the total current density
نویسندگان
چکیده
Density-functional theory requires an extra variable besides the electron density in order to properly incorporate magnetic-field effects. In a time-dependent setting, gauge-invariant, total current takes that role. A peculiar feature of static ground-state setting is, however, gauge-dependent paramagnetic appears as additional instead. An alternative, exact reformulation terms has long been sought but date work by Diener is only available candidate. work, unorthodox variational principle was used establish density-functional well accompanying Hohenberg-Kohn-like result. We here reinterpret and clarify Diener's formulation based on maximin principle. Using simple facts about convexity implied resulting expressions, we prove unfortunately not capable reproducing correct energy and, furthermore, suggested construction Hohenberg-Kohn map contains irreparable mistake.
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ژورنال
عنوان ژورنال: Journal of Physics: Condensed Matter
سال: 2021
ISSN: ['0953-8984', '1361-648X']
DOI: https://doi.org/10.1088/1361-648x/abf784