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 …

Towards a formal definition of static and dynamic electronic correlations

CL Benavides-Riveros, NN Lathiotakis… - Physical Chemistry …, 2017 - pubs.rsc.org
Some of the most spectacular failures of density-functional and Hartree–Fock theories are
related to an incorrect description of the so-called static electron correlation. Motivated by …

Deriving density-matrix functionals for excited states

J Liebert, C Schilling - SciPost Physics, 2023 - scipost.org
We initiate the recently proposed $ w $-ensemble one-particle reduced density matrix
functional theory ($ w $-RDMFT) by deriving the first functional approximations and illustrate …

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 …

Exploiting the Hessian for a Better Convergence of the SCF-RDMFT Procedure

NG Cartier, KJH Giesbertz - Journal of chemical theory and …, 2024 - ACS Publications
One-body reduced density matrix functional theory provides an alternative to density
functional theory, which is able to treat static correlation while keeping a relatively low …

Reduced density matrix functional theory from an ab initio seniority-zero wave function: Exact and approximate formulations along adiabatic connection paths

B Senjean, S Yalouz, N Nakatani, E Fromager - Physical Review A, 2022 - APS
Currently, there is a growing interest in the development of a new hierarchy of methods
based on the concept of seniority, which has been introduced quite recently in quantum …

Seniority number description of potential energy surfaces: Symmetric dissociation of water, N2, C2, and Be2

L Bytautas, GE Scuseria, K Ruedenberg - The Journal of chemical …, 2015 - pubs.aip.org
The present study further explores the concept of the seniority number (Ω) by examining
different configuration interaction (CI) truncation strategies in generating compact wave …

Relativistic reduced density matrix functional theory.

M Rodríguez-Mayorga, K Giesbertz, L Visscher - SciPost Chemistry, 2022 - scipost.org
As a new approach to efficiently describe correlation effects in the relativistic quantum world
we propose to consider reduced density matrix functional theory, where the key quantity is …

Bilinear constraints upon the correlation contribution to the electron–electron repulsion energy as a functional of the one-electron reduced density matrix

J Cioslowski, ZÉ Mihálka… - Journal of Chemical Theory …, 2019 - ACS Publications
Perturbative analysis of the functional U [n, ψ] that yields the correlation component U of the
electron–electron repulsion energy in terms of the vectors ψ (1) and n of the natural …

Explicit-by-implicit treatment of natural orbital occupations using first-and second-order optimization algorithms: A comparative study

YF Yao, Z Zhang, WH Fang, NQ Su - The Journal of Physical …, 2022 - ACS Publications
To address the convergence issues in the natural occupation optimization of reduced
density matrix functional theory (RDMFT), we recently proposed the explicit-by-implicit (EBI) …