Exact and model exchange-correlation potentials for open-shell systems

B Kanungo, J Hatch, PM Zimmerman… - The Journal of Physical …, 2023 - ACS Publications
The conventional approaches to the inverse density functional theory problem typically
assume nondegeneracy of the Kohn–Sham (KS) eigenvalues, greatly hindering their use in …

Discontinuities of kinetic energy densities within finite and complete basis sets

CC Moore, VN Staroverov - The Journal of Physical Chemistry A, 2024 - ACS Publications
Although electron densities are always continuous, other ingredients of density-functional
approximations can be sharply discontinuous at isolated points. In particular, the positive …

Jump discontinuities of finite-basis-set exchange–correlation potentials at atomic nuclei

CC Moore, VN Staroverov - The Journal of Chemical Physics, 2024 - pubs.aip.org
The kinetic energy density of electrons and the gradient of the electron density have
pronounced jump discontinuities at the positions of the atomic nuclei in molecules. Certain …

Kohn–Sham Density in a Slater Orbital Basis Set

AE Rask, L Li, PM Zimmerman - The Journal of Physical Chemistry …, 2024 - ACS Publications
Finite, atom-centered Slater basis sets are used to determine approximate Kohn–Sham
molecular orbitals. This is achieved by minimizing the kinetic energy plus the sum-squared …

Accelerating inverse Kohn-Sham calculations using reduced density matrices

B Kanungo, S Tribedi, PM Zimmerman… - arXiv preprint arXiv …, 2024 - arxiv.org
The Ryabinkin-Kohut-Staroverov (RKS) and Kanungo-Zimmerman-Gavini (KZG) methods
offer two approaches to find exchange-correlation (XC) potentials from ground state …