Delocalization error: The greatest outstanding challenge in density‐functional theory

KR Bryenton, AA Adeleke, SG Dale… - Wiley Interdisciplinary …, 2023 - Wiley Online Library
Every day, density‐functional theory (DFT) is routinely applied to computational modeling of
molecules and materials with the expectation of high accuracy. However, in certain …

Challenges for density functional theory

AJ Cohen, P Mori-Sánchez, W Yang - Chemical reviews, 2012 - ACS Publications
Density functional theory (DFT) of electronic structure has made an unparalleled impact on
the application of quantum mechanics to interesting and challenging problems in chemistry …

Time-dependent density-functional theory: concepts and applications

CA Ullrich - 2011 - books.google.com
Time-dependent density-functional theory (TDDFT) describes the quantum dynamics of
interacting electronic many-body systems formally exactly and in a practical and efficient …

Insights into current limitations of density functional theory

AJ Cohen, P Mori-Sánchez, W Yang - Science, 2008 - science.org
Density functional theory of electronic structure is widely and successfully applied in
simulations throughout engineering and sciences. However, for many predicted properties …

Localization and Delocalization Errors in Density Functional Theory<? format?> and Implications for Band-Gap Prediction

P Mori-Sánchez, AJ Cohen, W Yang - Physical review letters, 2008 - APS
The band-gap problem and other systematic failures of approximate exchange-correlation
functionals are explained from an analysis of total energy for fractional charges. The …

Orbital-dependent density functionals: Theory and applications

S Kümmel, L Kronik - Reviews of Modern Physics, 2008 - APS
This review provides a perspective on the use of orbital-dependent functionals, which is
currently considered one of the most promising avenues in modern density-functional …

Many-electron self-interaction error in approximate density functionals

P Mori-Sánchez, AJ Cohen, W Yang - The Journal of chemical physics, 2006 - pubs.aip.org
One of the most important challenges in density functional theory (DFT) is the proper
description of fractional charge systems relating to the self-interaction error (SIE) …

Density functional theory with correct long-range asymptotic behavior

R Baer, D Neuhauser - Physical review letters, 2005 - APS
We derive an exact representation of the exchange-correlation energy within density
functional theory (DFT) which spawns a class of approximations leading to correct long …

A well-tempered density functional theory of electrons in molecules

E Livshits, R Baer - Physical Chemistry Chemical Physics, 2007 - pubs.rsc.org
This Invited Article reports extensions of a recently developed approach to density functional
theory with correct long-range behavior (R. Baer and D. Neuhauser, Phys. Rev. Lett., 2005 …

Ultranonlocality and accurate band gaps from a meta-generalized gradient approximation

T Aschebrock, S Kümmel - Physical Review Research, 2019 - APS
The proper description of step structures in the exchange correlation potential, of charge
localization, and a reasonable prediction of band gaps have been long-standing, serious …