Density functional theory: Foundations reviewed

ES Kryachko, EV Ludena - Physics Reports, 2014 - Elsevier
Guided by the above motto (quotation), we review a broad range of issues lying at the
foundations of Density Functional Theory, DFT, a theory which is currently omnipresent in …

Reduced density matrix functional theory (RDMFT) and linear response time-dependent RDMFT (TD-RDMFT)

K Pernal, KJH Giesbertz - Density-Functional Methods for Excited States, 2016 - Springer
Recent advances in reduced density matrix functional theory (RDMFT) and linear response
time-dependent reduced density matrix functional theory (TD-RDMFT) are reviewed. In …

Global method for electron correlation

M Piris - Physical review letters, 2017 - APS
The current work presents a new single-reference method for capturing at the same time the
static and dynamic electron correlation. The starting point is a determinant wave function …

Single Reference Treatment of Strongly Correlated H4 and H10 Isomers with Richardson–Gaudin States

PA Johnson, AE DePrince III - Journal of Chemical Theory and …, 2023 - ACS Publications
Richardson–Gaudin (RG) states are employed as a variational wave function ansatz for
strongly correlated isomers of H4 and H10. In each case, a single RG state describes the …

Electron correlation in the iron (II) porphyrin by natural orbital functional approximations

JFH Lew-Yee, JM Del Campo… - Journal of Chemical Theory …, 2022 - ACS Publications
The relative stability of the singlet, triplet, and quintet spin states of iron (II) porphyrin (FeP)
represents a challenging problem for electronic structure methods. While it is currently …

Near-exact treatment of seniority-zero ground and excited states with a Richardson–Gaudin mean-field

CÉ Fecteau, S Cloutier, JD Moisset, J Boulay… - The Journal of …, 2022 - pubs.aip.org
Eigenvectors of the reduced Bardeen–Cooper–Schrieffer (BCS) Hamiltonian, Richardson–
Gaudin (RG) states, are used as a variational wavefunction ansatz for strongly correlated …

Excited States by Coupling Piris Natural Orbital Functionals with the Extended Random-Phase Approximation

JFH Lew-Yee, IA Bonfil-Rivera, M Piris… - Journal of Chemical …, 2024 - ACS Publications
In this work, we explore the use of Piris natural orbital functionals (PNOFs) to calculate
excited-state energies by coupling their reconstructed second-order reduced density matrix …

The Nature of the Fourth Bond in the Ground State of C2: The Quadruple Bond Conundrum

D Danovich, PC Hiberty, W Wu… - … –A European Journal, 2014 - Wiley Online Library
Does, or doesn't C2 break the glass ceiling of triple bonding? This work provides an
overview on the bonding conundrum in C2 and on the recent discussions regarding our …

Perspective on natural orbital functional theory

M Piris, JM Ugalde - International Journal of Quantum …, 2014 - Wiley Online Library
The natural orbital functional (NOF) theory is briefly reviewed. The meaning of the top‐down
and bottom‐up approaches for the construction of a NOF is analyzed. A particular …

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 …