Perspective: Kohn-Sham density functional theory descending a staircase

HS Yu, SL Li, DG Truhlar - The Journal of chemical physics, 2016 - pubs.aip.org
This article presents a perspective on Kohn-Sham density functional theory (KS-DFT) for
electronic structure calculations in chemical physics. This theory is in widespread use for …

Machine learning electronic structure methods based on the one-electron reduced density matrix

X Shao, L Paetow, ME Tuckerman… - Nature communications, 2023 - nature.com
The theorems of density functional theory (DFT) establish bijective maps between the local
external potential of a many-body system and its electron density, wavefunction and …

Self‐consistent field method for open‐shell systems within the density‐matrix functional theory

M Irimia, J Wang - Journal of Computational Chemistry, 2024 - Wiley Online Library
Abstract The unrestricted Hartree‐Fock method is extended to correlation calculation within
the density‐matrix functional theory. The method is derived from an entropic cumulant …

[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 …

Efficient integral-direct methods for self-consistent reduced density matrix functional theory calculations on central and graphics processing units

Y Lemke, J Kussmann… - Journal of Chemical Theory …, 2022 - ACS Publications
Reduced density matrix functional theory (RDMFT), a promising direction in the problem of
describing strongly correlated systems, is currently limited by its explicit dependence on …

A natural orbital functional based on an explicit approach of the two‐electron cumulant

M Piris - International Journal of Quantum Chemistry, 2013 - Wiley Online Library
The cumulant expansion gives rise to an useful decomposition of the two‐matrix in which the
pair correlated matrix (cumulant) is disconnected from the antisymmetric product of the one …

A multiconfigurational hybrid density-functional theory

K Sharkas, A Savin, HJA Jensen… - The Journal of Chemical …, 2012 - pubs.aip.org
We propose a multiconfigurational hybrid density-functional theory which rigorously
combines a multiconfiguration self-consistent-field calculation with a density-functional …

Review of approximations for the exchange-correlation energy in density-functional theory

J Toulouse - Density Functional Theory: Modeling, Mathematical …, 2022 - Springer
In this chapter, we provide a review of the ground-state Kohn–Sham density-functional
theory of electronic systems and some of its extensions, we present exact expressions and …

Range-separated multideterminant density-functional theory with a short-range correlation functional of the on-top pair density

A Ferté, E Giner, J Toulouse - The Journal of Chemical Physics, 2019 - pubs.aip.org
We introduce an approximation to the short-range correlation energy functional with
multideterminantal reference involved in a variant of range-separated density-functional …

Natural orbital functional for multiplets

M Piris - Physical Review A, 2019 - APS
A natural orbital functional for electronic systems with any value of the spin is proposed. This
energy functional is based on an alternative reconstruction for the two-particle reduced …