Orbital-free density functional theory: An attractive electronic structure method for large-scale first-principles simulations

W Mi, K Luo, SB Trickey, M Pavanello - Chemical Reviews, 2023 - ACS Publications
Kohn–Sham Density Functional Theory (KSDFT) is the most widely used electronic structure
method in chemistry, physics, and materials science, with thousands of calculations cited …

Orbital-free density functional theory for materials research

WC Witt, BG Del Rio, JM Dieterich… - Journal of Materials …, 2018 - cambridge.org
Orbital-free density functional theory (OFDFT) is both grounded in quantum physics and
suitable for direct simulation of thousands of atoms. This article describes the application of …

Kinetic energy of hydrocarbons as a function of electron density and convolutional neural networks

K Yao, J Parkhill - Journal of chemical theory and computation, 2016 - ACS Publications
We demonstrate a convolutional neural network trained to reproduce the Kohn–Sham
kinetic energy of hydrocarbons from an input electron density. The output of the network is …

Nonlocal kinetic energy functional from the jellium-with-gap model: Applications to orbital-free density functional theory

LA Constantin, E Fabiano, F Della Sala - Physical Review B, 2018 - APS
Orbital-free density functional theory (OF-DFT) promises to describe the electronic structure
of very large quantum systems, being its computational cost linear with the system size …

Nonlocal kinetic energy functionals in real space using a Yukawa-potential kernel: Properties, linear response, and model functionals

F Sarcinella, E Fabiano, LA Constantin, F Della Sala - Physical Review B, 2021 - APS
In the quest for accurate approximations of the noninteracting kinetic energy functional as a
functional of the electronic density, two different paths are usually employed: semilocal …

Kinetic energy density functionals based on a generalized screened Coulomb potential: Linear response and future perspectives

E Fabiano, F Sarcinella, LA Constantin, F Della Sala - Computation, 2022 - mdpi.com
We consider kinetic energy functionals that depend, beside the usual semilocal quantities
(density, gradient, Laplacian of the density), on a generalized Yukawa potential, that is the …

[HTML][HTML] Visualization and analysis of the Kohn-Sham kinetic energy density and its orbital-free description in molecules

AC Cancio, D Stewart, A Kuna - The Journal of Chemical Physics, 2016 - pubs.aip.org
We visualize the Kohn-Sham kinetic energy density (KED) and the ingredients—the electron
density, its gradient, and Laplacian—used to construct orbital-free models of it, for the AE6 …

Visualisation and orbital-free parametrisation of the large-Z scaling of the kinetic energy density of atoms

AC Cancio, JJ Redd - Molecular Physics, 2017 - Taylor & Francis
The scaling of neutral atoms to large Z, combining periodicity with a gradual trend to
homogeneity, is a fundamental probe of density functional theory, one that has driven recent …

Some problems in density functional theory

J Wrighton, A Albavera-Mata, HF Rodríguez… - Letters in Mathematical …, 2023 - Springer
Though calculations based on density functional theory (DFT) are used remarkably widely in
chemistry, physics, materials science, and biomolecular research and though the modern …

Analysis of the kinetic energy functional in the generalized gradient approximation

HI Francisco, J Carmona-Espíndola… - The Journal of Chemical …, 2021 - pubs.aip.org
A new density functional for the total kinetic energy in the generalized gradient
approximation is developed through an enhancement factor that leads to the correct …