The Hubbard dimer: a density functional case study of a many-body problem

DJ Carrascal, J Ferrer, JC Smith… - Journal of Physics …, 2015 - iopscience.iop.org
This review explains the relationship between density functional theory and strongly
correlated models using the simplest possible example, the two-site Hubbard model. The …

Kinetic‐energy‐density dependent semilocal exchange‐correlation functionals

F Della Sala, E Fabiano… - International Journal of …, 2016 - Wiley Online Library
We present the theory of semilocal exchange‐correlation (XC) energy functionals which
depend on the Kohn–Sham kinetic energy density (KED), including the relevant class of …

Optimal-transport formulation of electronic density-functional theory

G Buttazzo, L De Pascale, P Gori-Giorgi - Physical Review A—Atomic …, 2012 - APS
The most challenging scenario for Kohn-Sham density-functional theory, that is, when the
electrons move relatively slowly trying to avoid each other as much as possible because of …

Strong correlation in Kohn-Sham density functional theory

F Malet, P Gori-Giorgi - Physical review letters, 2012 - APS
We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to
approximate the exchange-correlation energy of the restricted Kohn-Sham scheme. Our …

Density functional model for nondynamic and strong correlation

J Kong, E Proynov - Journal of Chemical Theory and Computation, 2016 - ACS Publications
A single-term density functional model for the left–right nondynamic/strong electron
correlation is presented based on single-determinant Kohn–Sham density functional theory …

Density functional theory for strongly-interacting electrons: perspectives for physics and chemistry

P Gori-Giorgi, M Seidl - Physical Chemistry Chemical Physics, 2010 - pubs.rsc.org
Improving the accuracy and thus broadening the applicability of electronic density functional
theory (DFT) is crucial to many research areas, from material science, to theoretical …

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 …

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 …

Kohn-Sham density functional theory for quantum wires in arbitrary correlation regimes

F Malet, A Mirtschink, JC Cremon, SM Reimann… - Physical Review B …, 2013 - APS
We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to
construct an approximation for the exchange-correlation term of the Kohn-Sham approach …

Restoring size consistency of approximate functionals constructed from the adiabatic connection

S Vuckovic, P Gori-Giorgi, F Della Sala… - The Journal of …, 2018 - ACS Publications
Approximate exchange–correlation functionals built by modeling in a nonlinear way the
adiabatic connection (AC) integrand of density functional theory have many attractive …