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 …

Understanding machine‐learned density functionals

L Li, JC Snyder, IM Pelaschier, J Huang… - … Journal of Quantum …, 2016 - Wiley Online Library
Machine learning (ML) is an increasingly popular statistical tool for analyzing either
measured or calculated data sets. Here, we explore its application to a well‐defined physics …

Overcoming the barrier of orbital-free density functional theory for molecular systems using deep learning

H Zhang, S Liu, J You, C Liu, S Zheng, Z Lu… - Nature Computational …, 2024 - nature.com
Orbital-free density functional theory (OFDFT) is a quantum chemistry formulation that has a
lower cost scaling than the prevailing Kohn–Sham DFT, which is increasingly desired for …

A simple generalized gradient approximation for the noninteracting kinetic energy density functional

K Luo, VV Karasiev, SB Trickey - Physical Review B, 2018 - APS
A simple, unconventional, nonempirical, constraint-based orbital-free generalized gradient
approximation (GGA) noninteracting kinetic energy density functional is presented along …

Semilocal Pauli–Gaussian kinetic functionals for orbital-free density functional theory calculations of solids

LA Constantin, E Fabiano… - The journal of physical …, 2018 - ACS Publications
Kinetic energy (KE) approximations are key elements in orbital-free density functional
theory. To date, the use of nonlocal functionals, possibly employing system-dependent …

Accelerating equilibration in first-principles molecular dynamics with orbital-free density functional theory

L Fiedler, ZA Moldabekov, X Shao, K Jiang… - Physical Review …, 2022 - APS
We introduce a practical hybrid approach that combines orbital-free density functional theory
(DFT) with Kohn-Sham DFT for speeding up first-principles molecular dynamics simulations …

[HTML][HTML] Automatic differentiation for orbital-free density functional theory

CW Tan, CJ Pickard, WC Witt - The Journal of Chemical Physics, 2023 - pubs.aip.org
Differentiable programming has facilitated numerous methodological advances in scientific
computing. Physics engines supporting automatic differentiation have simpler code …

Deorbitalization strategies for meta-generalized-gradient-approximation exchange-correlation functionals

D Mejia-Rodriguez, SB Trickey - Physical Review A, 2017 - APS
We explore the simplification of widely used meta-generalized-gradient approximation
(mGGA) exchange-correlation functionals to the Laplacian level of refinement by use of …

Developing orbital-free quantum crystallography: the local potentials and associated partial charge densities

V Tsirelson, A Stash - Acta Crystallographica Section B: Structural …, 2021 - journals.iucr.org
This work extends the orbital-free density functional theory to the field of quantum
crystallography. The total electronic energy is decomposed into electrostatic, exchange …

Shannon entropy and many‐electron correlations: Theoretical concepts, numerical results, and Collins conjecture

L Delle Site - International Journal of Quantum Chemistry, 2015 - Wiley Online Library
In this article, I will discuss the overlap between the concept of Shannon entropy and the
concept of electronic correlation. Quantum Monte Carlo numerical results for the uniform …