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

K Pernal, KJH Giesbertz - Density-Functional Methods for Excited States, 2015 - 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 …

Real-space grids and the Octopus code as tools for the development of new simulation approaches for electronic systems

X Andrade, D Strubbe, U De Giovannini… - Physical Chemistry …, 2015 - pubs.rsc.org
Real-space grids are a powerful alternative for the simulation of electronic systems. One of
the main advantages of the approach is the flexibility and simplicity of working directly in real …

Exploring the potential of natural orbital functionals

M Piris - Chemical Science, 2024 - pubs.rsc.org
In recent years, Natural Orbital Functional (NOF) theory has gained increasing significance
in quantum chemistry, successfully addressing one of the field's most challenging problems …

Libxc: A library of exchange and correlation functionals for density functional theory

MAL Marques, MJT Oliveira, T Burnus - Computer physics communications, 2012 - Elsevier
The central quantity of density functional theory is the so-called exchange–correlation
functional. This quantity encompasses all non-trivial many-body effects of the ground-state …

Global natural orbital functional: Towards the complete description of the electron correlation

M Piris - Physical Review Letters, 2021 - APS
The current work presents a natural orbital functional (NOF) for electronic systems with any
spin value independent of the external potential being considered, that is, a global NOF …

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 …

Density-matrix-power functional: Performance for finite systems and the homogeneous electron gas

NN Lathiotakis, S Sharma, JK Dewhurst, FG Eich… - Physical Review A …, 2009 - APS
An exchange-correlation energy functional involving fractional power of the one-body
reduced density matrix [S. Sharma, JK Dewhurst, NN Lathiotakis, and EKU Gross, Phys …

A density matrix functional with occupation number driven treatment of dynamical and nondynamical correlation

DR Rohr, K Pernal, OV Gritsenko… - The Journal of chemical …, 2008 - pubs.aip.org
A recently proposed series of corrections to the earliest J K-only functionals has
considerably improved the prospects of density matrix functional theory (DMFT). Still, the …

Iterative diagonalization for orbital optimization in natural orbital functional theory

M Piris, JM Ugalde - Journal of computational chemistry, 2009 - Wiley Online Library
A challenging task in natural orbital functional theory is to find an efficient procedure for
doing orbital optimization. Procedures based on diagonalization techniques have confirmed …