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 …

One-body reduced density-matrix functional theory in finite basis sets at elevated temperatures

KJH Giesbertz, M Ruggenthaler - Physics Reports, 2019 - Elsevier
In this review we provide a rigorous and self-contained presentation of one-body reduced
density-matrix (1RDM) functional theory. We do so for the case of a finite basis set, where …

Accelerating finite-temperature Kohn-Sham density functional theory with deep neural networks

JA Ellis, L Fiedler, GA Popoola, NA Modine… - Physical Review B, 2021 - APS
We present a numerical modeling workflow based on machine learning which reproduces
the total energies produced by Kohn-Sham density functional theory (DFT) at finite electronic …

[HTML][HTML] Refining and relating fundamentals of functional theory

J Liebert, AY Chaou, C Schilling - The Journal of Chemical Physics, 2023 - pubs.aip.org
To advance the foundation of one-particle reduced density matrix functional theory
(1RDMFT), we refine and relate some of its fundamental features and underlying concepts …

Extending Conceptual Density Functional Theory toward First-Order Reduced Density Matrices: An Open Subsystems Viewpoint on the Fukui Matrix

G Acke, D Van Hende, X De Vriendt… - Journal of Chemical …, 2023 - ACS Publications
As a matrix extension of the Fukui function, a reactivity descriptor grounded within
Conceptual Density Functional Theory, the Fukui matrix extends Frontier Molecular Orbital …

Thermal hybrid exchange-correlation density functional for improving the description of warm dense matter

DI Mihaylov, VV Karasiev, SX Hu - Physical Review B, 2020 - APS
Finite-temperature density functional theory has become a standard tool for first-principles
calculations of the properties of warm dense matter (WDM) relevant to high-energy-density …

Introducing screening in one-body density matrix functionals: Impact on charged excitations of model systems via the extended Koopmans' theorem

S Di Sabatino, J Koskelo, JA Berger, P Romaniello - Physical Review B, 2022 - APS
In this work we get insight into the impact of reduced density matrix functionals on the quality
of removal/addition energies obtained using the extended Koopmans' theorem (EKT). Within …

Role of exact exchange in thermally-assisted-occupation density functional theory: A proposal of new hybrid schemes

JD Chai - The Journal of Chemical Physics, 2017 - pubs.aip.org
We propose hybrid schemes incorporating exact exchange into thermally assisted-
occupation-density functional theory (TAO-DFT)[J.-D. Chai, J. Chem. Phys. 136, 154104 …

Reduced density-matrix functionals from many-particle theory

R Schade, E Kamil, P Blöchl - The European Physical Journal Special …, 2017 - Springer
In materials with strong electron correlation the proper treatment of local atomic physics
described by orbital occupations is crucial. Reduced density-matrix functional theory is a …

One-body reduced density-matrix functional theory for the canonical ensemble

SM Sutter, KJH Giesbertz - Physical Review A, 2023 - APS
We establish one-body reduced density matrix (1RDM) functional theory for the canonical
ensemble in a finite basis set at an elevated temperature. Including temperature guarantees …