skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Perspective: Kohn-Sham density functional theory descending a staircase

Abstract

This article presents a perspective on Kohn-Sham density functional theory (KS-DFT) for electronic structure calculations in chemical physics. This theory is in widespread use for applications to both molecules and solids. We pay special attention to several aspects where there are both concerns and progress toward solutions. These include: The treatment of open-shell and inherently multiconfigurational systems (the latter are often called multireference systems and are variously classified as having strong correlation, near-degeneracy correlation, or high static correlation; KS-DFT must treat these systems with broken-symmetry determinants). The treatment of noncovalent interactions. The choice between developing new functionals by parametrization, by theoretical constraints, or by a combination. The ingredients of the exchange-correlation functionals used by KS-DFT, including spin densities, the magnitudes of their gradients, spin-specific kinetic energy densities, nonlocal exchange (Hartree-Fock exchange), nonlocal correlation, and subshell-dependent corrections (DFT+U). The quest for a universal functional, where we summarize some of the success of the latest Minnesota functionals, namely MN15-L and MN15, which were obtained by optimization against diverse databases. Time-dependent density functional theory, which is an extension of DFT to treat time-dependent problems and excited states. Furthermore, the review is a snapshot of a rapidly moving field, and—like Marcel Duchamp—we hope tomore » convey progress in a stimulating way.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of Minnesota, Minneapolis, MN (United States)
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States). Department of Chemistry, Chemical Theory Center, and Supercomputing Institute
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1464926
Alternate Identifier(s):
OSTI ID: 1328549
Grant/Contract Number:  
SC0012702; SC0015997
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 145; Journal Issue: 13; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Yu, Haoyu S., Li, Shaohong L., and Truhlar, Donald G. Perspective: Kohn-Sham density functional theory descending a staircase. United States: N. p., 2016. Web. doi:10.1063/1.4963168.
Yu, Haoyu S., Li, Shaohong L., & Truhlar, Donald G. Perspective: Kohn-Sham density functional theory descending a staircase. United States. doi:10.1063/1.4963168.
Yu, Haoyu S., Li, Shaohong L., and Truhlar, Donald G. Wed . "Perspective: Kohn-Sham density functional theory descending a staircase". United States. doi:10.1063/1.4963168. https://www.osti.gov/servlets/purl/1464926.
@article{osti_1464926,
title = {Perspective: Kohn-Sham density functional theory descending a staircase},
author = {Yu, Haoyu S. and Li, Shaohong L. and Truhlar, Donald G.},
abstractNote = {This article presents a perspective on Kohn-Sham density functional theory (KS-DFT) for electronic structure calculations in chemical physics. This theory is in widespread use for applications to both molecules and solids. We pay special attention to several aspects where there are both concerns and progress toward solutions. These include: The treatment of open-shell and inherently multiconfigurational systems (the latter are often called multireference systems and are variously classified as having strong correlation, near-degeneracy correlation, or high static correlation; KS-DFT must treat these systems with broken-symmetry determinants). The treatment of noncovalent interactions. The choice between developing new functionals by parametrization, by theoretical constraints, or by a combination. The ingredients of the exchange-correlation functionals used by KS-DFT, including spin densities, the magnitudes of their gradients, spin-specific kinetic energy densities, nonlocal exchange (Hartree-Fock exchange), nonlocal correlation, and subshell-dependent corrections (DFT+U). The quest for a universal functional, where we summarize some of the success of the latest Minnesota functionals, namely MN15-L and MN15, which were obtained by optimization against diverse databases. Time-dependent density functional theory, which is an extension of DFT to treat time-dependent problems and excited states. Furthermore, the review is a snapshot of a rapidly moving field, and—like Marcel Duchamp—we hope to convey progress in a stimulating way.},
doi = {10.1063/1.4963168},
journal = {Journal of Chemical Physics},
number = 13,
volume = 145,
place = {United States},
year = {2016},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Band theory and Mott insulators: Hubbard U instead of Stoner I
journal, July 1991

  • Anisimov, Vladimir I.; Zaanen, Jan; Andersen, Ole K.
  • Physical Review B, Vol. 44, Issue 3, p. 943-954
  • DOI: 10.1103/PhysRevB.44.943

A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP)
journal, July 2004

  • Yanai, Takeshi; Tew, David P.; Handy, Nicholas C.
  • Chemical Physics Letters, Vol. 393, Issue 1-3, p. 51-57
  • DOI: 10.1016/j.cplett.2004.06.011

Density‐functional thermochemistry. III. The role of exact exchange
journal, April 1993

  • Becke, Axel D.
  • The Journal of Chemical Physics, Vol. 98, Issue 7, p. 5648-5652
  • DOI: 10.1063/1.464913

Inhomogeneous Electron Gas
journal, November 1964


Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


Rationale for mixing exact exchange with density functional approximations
journal, December 1996

  • Perdew, John P.; Ernzerhof, Matthias; Burke, Kieron
  • The Journal of Chemical Physics, Vol. 105, Issue 22, p. 9982-9985
  • DOI: 10.1063/1.472933

Projector augmented-wave method
journal, December 1994


First-principles calculations of the electronic structure and spectra of strongly correlated systems: the LDA + U method
journal, January 1997

  • Anisimov, Vladimir I.; Aryasetiawan, F.; Lichtenstein, A. I.
  • Journal of Physics: Condensed Matter, Vol. 9, Issue 4, p. 767-808
  • DOI: 10.1088/0953-8984/9/4/002

A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions
journal, November 2006

  • Zhao, Yan; Truhlar, Donald G.
  • The Journal of Chemical Physics, Vol. 125, Issue 19, Article No. 194101
  • DOI: 10.1063/1.2370993

Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields
journal, November 1994

  • Stephens, P. J.; Devlin, F. J.; Chabalowski, C. F.
  • The Journal of Physical Chemistry, Vol. 98, Issue 45, p. 11623-11627
  • DOI: 10.1021/j100096a001

Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies
journal, October 1986