Challenges for density functional theory

AJ Cohen, P Mori-Sánchez, W Yang - Chemical reviews, 2012 - ACS Publications
Density functional theory (DFT) of electronic structure has made an unparalleled impact on
the application of quantum mechanics to interesting and challenging problems in chemistry …

Slope of the delocalization function is proportional to analytical hardness

B Wang, P Geerlings, F Heidar-Zadeh… - The Journal of …, 2024 - ACS Publications
Conceptual Density Functional Theory (CDFT) has been extended beyond its traditional role
in elucidating chemical reactivity to the development of density functional theory methods …

Tilted-Plane Structure of the Energy of Finite Quantum Systems

AC Burgess, E Linscott, DD O'Regan - Physical Review Letters, 2024 - APS
The piecewise linearity condition on the total energy with respect to the total magnetization
of finite quantum systems is derived using the infinite-separation-limit technique. This …

Kohn-Sham potentials in exact density-functional theory at noninteger electron numbers

T Gould, J Toulouse - Physical Review A, 2014 - APS
Within exact electron density-functional theory, we investigate Kohn-Sham (KS) potentials,
orbital energies, and noninteracting kinetic energies of the fractional ions of Li, C, and F. We …

Spin gaps and spin-flip energies in density-functional theory

K Capelle, G Vignale, CA Ullrich - Physical Review B—Condensed Matter and …, 2010 - APS
Energy gaps are crucial aspects of the electronic structure of finite and extended systems.
Whereas much is known about how to define and calculate charge gaps in density …

Asymptotic behavior of the Hartree-exchange and correlation potentials in ensemble density functional theory

T Gould, S Pittalis, J Toulouse, E Kraisler… - Physical Chemistry …, 2019 - pubs.rsc.org
We report on previously unnoticed features of the exact Hartree-exchange and correlation
potentials for atoms and ions treated via ensemble density functional theory, demonstrated …

Flat plane based double-counting free and parameter free many-body

AC Burgess, DD O'Regan - Physical Review B, 2024 - APS
The recently introduced BLOR corrective exchange-correlation functional [AC Burgess,
Phys. Rev. B 107, L121115 (2023) 10.1103/PhysRevB. 107. L121115] is, by construction …

Energy surface, chemical potentials, Kohn–Sham energies in spin-polarized density functional theory

T Gal, P Geerlings - The Journal of chemical physics, 2010 - pubs.aip.org
On the basis of the zero-temperature grand canonical ensemble generalization of the
energy E [N, N s, v, B] for fractional particle N and spin N s numbers, the energy surface over …