Density functionals based on the mathematical structure of the strong‐interaction limit of DFT

S Vuckovic, A Gerolin, KJ Daas… - Wiley …, 2023 - Wiley Online Library
While in principle exact, Kohn–Sham density functional theory—the workhorse of
computational chemistry—must rely on approximations for the exchange–correlation …

The strong-interaction limit of density functional theory

G Friesecke, A Gerolin, P Gori-Giorgi - Density Functional Theory …, 2022 - Springer
This is a comprehensive review of the strong-interaction limit of density functional theory. It
covers the derivation of the limiting strictly correlated electrons (SCE) functional from exact …

Multimarginal optimal transport maps for one–dimensional repulsive costs

M Colombo, L De Pascale, S Di Marino - Canadian Journal of …, 2015 - cambridge.org
We study a multimarginal optimal transportation problem in one dimension. For a symmetric,
repulsive cost function, we show that, given a minimizing transport plan, its symmetrization is …

Existence, uniqueness, and construction of the density-potential map** in time-dependent density-functional theory

M Ruggenthaler, M Penz… - Journal of Physics …, 2015 - iopscience.iop.org
In this work we review the map** from densities to potentials in quantum mechanics,
which is the basic building block of time-dependent density-functional theory and the Kohn …

Benchmark assessment of density functional methods on group II–VI MX (M= Zn, Cd; X= S, Se, Te) quantum dots

JM Azpiroz, JM Ugalde, I Infante - Journal of chemical theory and …, 2014 - ACS Publications
In this work, we build a benchmark data set of geometrical parameters, vibrational normal
modes, and low-lying excitation energies for MX quantum dots, with M= Cd, Zn, and X= S …

Exchange–correlation functionals via local interpolation along the adiabatic connection

S Vuckovic, TJP Irons, A Savin, AM Teale… - Journal of chemical …, 2016 - ACS Publications
The construction of density-functional approximations is explored by modeling the adiabatic
connection locally, using energy densities defined in terms of the electrostatic potential of …

Interaction-strength interpolation method for main-group chemistry: Benchmarking, limitations, and perspectives

E Fabiano, P Gori-Giorgi, M Seidl… - Journal of Chemical …, 2016 - ACS Publications
We have tested the original interaction-strength-interpolation (ISI) exchange-correlation
functional for main group chemistry. The ISI functional is based on an interpolation between …

Electronic properties of semiconductor quantum wires for shallow symmetric and asymmetric confinements

II Yakimenko, IP Yakimenko - Journal of Physics: Condensed …, 2021 - iopscience.iop.org
Quantum wires (QWs) and quantum point contacts (QPCs) have been realized in
GaAs/AlGaAs heterostructures in which a two-dimensional electron gas resides at the …

Hydrogen molecule dissociation curve with functionals based on the strictly correlated regime

S Vuckovic, LO Wagner, A Mirtschink… - Journal of chemical …, 2015 - ACS Publications
Using the dual Kantorovich formulation, we compute the strictly correlated electrons (SCE)
functional (corresponding to the exact strong-interaction limit of density functional theory) for …

Investigation of the exchange-correlation potentials of functionals based on the adiabatic connection interpolation

E Fabiano, S Śmiga, S Giarrusso, KJ Daas… - Journal of chemical …, 2019 - ACS Publications
We have studied the correlation potentials produced by various adiabatic connection
models (ACMs) for several atoms and molecules. The results have been compared to …