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Unmasking Static Correlation Error in Hybrid Kohn–Sham Density Functional Theory

Journal Article · · Journal of Chemical Theory and Computation
 [1];  [2]
  1. Univ. of Minnesota, Minneapolis, MN (United States); University of Minnesota
  2. Univ. of Minnesota, Minneapolis, MN (United States)
To uncover the way Hartree–Fock exchange brings static correlation error into hybrid Kohn–Sham density functional theory, we compare the potential energy curves of four diatomic molecules, namely, H2, F2, HF, and NaF, using both restricted and unrestricted Kohn–Sham theory. Here, we find that increasing the percentage of Hartree–Fock exchange significantly increases the static correlation error because Hartree–Fock exchange replaces the ability of local exchange in density functionals to account for the localization effects associated with static correlation.
Research Organization:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
SC0008688
OSTI ID:
1712685
Journal Information:
Journal of Chemical Theory and Computation, Journal Name: Journal of Chemical Theory and Computation Journal Issue: 9 Vol. 16; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (63)

Correlation Problem in Many-Electron Quantum Mechanics I. Review of Different Approaches and Discussion of Some Current Ideas book January 2007
Molecular Electronic-Structure Theory book August 2000
State-specific multireference perturbation theory with improved virtual orbitals: Taming the ground state of F 2 , Be 2, and N 2 journal March 2015
Spin in density-functional theory journal August 2012
An investigation of the performance of a hybrid of Hartree-Fock and density functional theory journal March 1992
Spin-unrestricted character of Kohn-Sham orbitals for open-shell systems journal November 1995
The Hartree-Fock dissociation of F2 journal March 1987
Über eine Approximation des Hartree-Fockschen Potentials Durch eine Universelle Potentialfunktion journal April 1954
Multireference configuration interaction treatment of potential energy surfaces: symmetric dissociation of H2O in a double-zeta basis journal March 1984
Toward reliable adiabatic connection models free from adjustable parameters journal August 1997
Statistical Exchange-Correlation in the Self-Consistent Field book January 1972
MN15-L: A New Local Exchange-Correlation Functional for Kohn–Sham Density Functional Theory with Broad Accuracy for Atoms, Molecules, and Solids journal February 2016
Revised M11 Exchange-Correlation Functional for Electronic Excitation Energies and Ground-State Properties journal February 2019
HLE17: An Improved Local Exchange–Correlation Functional for Computing Semiconductor Band Gaps and Molecular Excitation Energies journal March 2017
HLE16: A Local Kohn–Sham Gradient Approximation with Good Performance for Semiconductor Band Gaps and Molecular Excitation Energies journal January 2017
Approximate density functional theory as a practical tool in molecular energetics and dynamics journal July 1991
Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields journal November 1994
Electron correlation and density-functional methods journal January 1987
Hyper Open-Shell States: The Lowest Excited Spin States of O Atom, Fe 2+ Ion, and FeF 2 journal August 2017
Doubly Excited Character or Static Correlation of the Reference State in the Controversial 2 1 A g State of trans -Butadiene? journal September 2017
Density Functionals for Inorganometallic and Organometallic Chemistry journal December 2005
A Quantum Chemical View of Density Functional Theory journal July 1997
Computational complexity of interacting electrons and fundamental limitations of density functional theory journal August 2009
Nonseparable exchange–correlation functional for molecules, including homogeneous catalysis involving transition metals journal January 2015
MN15: A Kohn–Sham global-hybrid exchange–correlation density functional with broad accuracy for multi-reference and single-reference systems and noncovalent interactions journal January 2016
How well can density functional theory and pair-density functional theory predict the correct atomic charges for dissociation and accurate dissociation energetics of ionic bonds? journal January 2018
A new parametrization of exchange–correlation generalized gradient approximation functionals journal April 2001
A long-range correction scheme for generalized-gradient-approximation exchange functionals journal August 2001
Classification of configurations and the determination of interacting and noninteracting spaces in configuration interaction journal February 1973
Accurate Adiabatic Treatment of the Ground State of the Hydrogen Molecule journal December 1964
Many‐Electron Theory of Nonclosed‐Shell Atoms and Molecules. I. Orbital Wavefunction and Perturbation Theory journal March 1966
Band Theory, Valence Bond, and Tight‐Binding Calculations journal January 1962
Accurate ab initio potential energy curve of F2. III. The vibration rotation spectrum journal November 2007
Eliminating spin contamination in auxiliary-field quantum Monte Carlo: Realistic potential energy curve of F2 journal March 2008
The two faces of static correlation journal March 2011
Communication: A global hybrid generalized gradient approximation to the exchange-correlation functional that satisfies the second-order density-gradient constraint and has broad applicability in chemistry journal November 2011
The low‐lying states of hydrogen fluoride: Potential energy curves for the x   1 Σ + , 3 Σ + , 3 Π, and 1 Π states journal November 1976
Self‐consistent molecular orbital methods. XVIII. Constraints and stability in Hartree–Fock theory journal April 1977
Self‐consistent molecular orbital methods. XXIII. A polarization‐type basis set for second‐row elements journal October 1982
Theoretical dissociation energies for the alkali and alkaline‐earth monofluorides and monochlorides journal February 1986
On the different representations of the hole‐correlation functions in the Hartree–Fock and the Hartree–Fock–Slater methods and their influence on bond energy calculations journal December 1990
A new mixing of Hartree–Fock and local density‐functional theories journal January 1993
Stability analysis for solutions of the closed shell Kohn–Sham equation journal June 1996
Exchange and correlation energy in density functional theory: Comparison of accurate density functional theory quantities with traditional Hartree–Fock based ones and generalized gradient approximations for the molecules Li2, N2, F2 journal October 1997
Development and assessment of new exchange-correlation functionals journal October 1998
Ab initio quantum chemistry using the density matrix renormalization group journal March 1999
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
Communication: A flexible multi-reference perturbation theory by minimizing the Hylleraas functional with matrix product states journal September 2014
Selection of active spaces for multiconfigurational wavefunctions journal June 2015
Perspective: Kohn-Sham density functional theory descending a staircase journal October 2016
Monitoring nonadiabatic avoided crossing dynamics in molecules by ultrafast X-ray diffraction journal September 2017
Revised M06-L functional for improved accuracy on chemical reaction barrier heights, noncovalent interactions, and solid-state physics journal July 2017
Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v-representability problem journal December 1979
The calculation of spin-restricted single-determinant wavefunctions journal December 1974
XXXIV. Notes on the molecular orbital treatment of the hydrogen molecule journal April 1949
The Basis of the Electron Theory of Metals, with Special Reference to the Transition Metals journal July 1949
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Density-functional exchange-energy approximation with correct asymptotic behavior journal September 1988
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
Self-Consistent-Field X α Cluster Method for Polyatomic Molecules and Solids journal February 1972
Generalized Gradient Approximation Made Simple journal October 1996
Nobel Lecture: Electronic structure of matter—wave functions and density functionals journal October 1999
Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis journal August 1980

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