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 …

Deep dive into machine learning density functional theory for materials science and chemistry

L Fiedler, K Shah, M Bussmann, A Cangi - Physical Review Materials, 2022 - APS
With the growth of computational resources, the scope of electronic structure simulations has
increased greatly. Artificial intelligence and robust data analysis hold the promise to …

Libxc: A library of exchange and correlation functionals for density functional theory

MAL Marques, MJT Oliveira, T Burnus - Computer physics communications, 2012 - Elsevier
The central quantity of density functional theory is the so-called exchange–correlation
functional. This quantity encompasses all non-trivial many-body effects of the ground-state …

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 …

First principles view on chemical compound space: Gaining rigorous atomistic control of molecular properties

OA Von Lilienfeld - International Journal of Quantum Chemistry, 2013 - Wiley Online Library
A well‐defined notion of chemical compound space (CCS) is essential for gaining rigorous
control of properties through variation of elemental composition and atomic configurations …

Combined study of phase transitions in the P2-type NaXNi1/3Mn2/3O2 cathode material: experimental, ab-initio and multiphase-field results

S Daubner, M Dillenz, LF Pfeiffer, C Gauckler… - npj Computational …, 2024 - nature.com
The research of new electrode materials such as sodium intercalation compounds is key to
meet the challenges of future demands of sustainable energy storage. For these batteries …

Density functionals and model Hamiltonians: Pillars of many-particle physics

K Capelle, VL Campo Jr - Physics Reports, 2013 - Elsevier
Density-functional theory (DFT) and model Hamiltonians are conceptually distinct
approaches to the many-particle problem, which can be developed and applied …

Orbital-free density functional theory calculation applying semi-local machine-learned kinetic energy density functional and kinetic potential

M Fu**ami, R Kageyama, J Seino, Y Ikabata… - Chemical Physics …, 2020 - Elsevier
This letter proposes a scheme of orbital-free density functional theory (OF-DFT) calculation
for optimizing electron density based on a semi-local machine-learned (ML) kinetic energy …

Laplacian-level kinetic energy approximations based on the fourth-order gradient expansion: Global assessment and application to the subsystem formulation of …

S Laricchia, LA Constantin, E Fabiano… - Journal of chemical …, 2014 - ACS Publications
We tested Laplacian-level meta-generalized gradient approximation (meta-GGA)
noninteracting kinetic energy functionals based on the fourth-order gradient expansion …

Finite element approximations of nonlinear eigenvalue problems in quantum physics

H Chen, L He, A Zhou - Computer methods in applied mechanics and …, 2011 - Elsevier
In this paper, we study finite element approximations of a class of nonlinear eigenvalue
problems arising from quantum physics. We derive both a priori and a posteriori finite …