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

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4963168· OSTI ID:1464926

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.

Research Organization:
Univ. of Minnesota, Minneapolis, MN (United States). Department of Chemistry, Chemical Theory Center, and Supercomputing Institute
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0012702; SC0015997
OSTI ID:
1464926
Alternate ID(s):
OSTI ID: 1328549
Journal Information:
Journal of Chemical Physics, Vol. 145, Issue 13; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 213 works
Citation information provided by
Web of Science

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First-principles prediction of acidities in the gas and solution phase: First principles prediction of acidities journal March 2011
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Magnetic Interactions in Alkyl Substituted Cyclohexane Diradical Systems:  A Broken Symmetry Approach journal April 2008
Development of a CAS-DFT method covering non-dynamical and dynamical electron correlation in a balanced way journal January 2005
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New exchange-correlation density functionals: The role of the kinetic-energy density journal June 2002
Benchmark Database of Barrier Heights for Heavy Atom Transfer, Nucleophilic Substitution, Association, and Unimolecular Reactions and Its Use to Test Theoretical Methods journal March 2005
Doubly hybrid density functional xDH-PBE0 from a parameter-free global hybrid model PBE0 journal May 2012
Non-Adiabatic Meson Theory of Nuclear Forces journal May 1950
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Strong Correlation in Kohn-Sham Density Functional Theory journal December 2012
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Nobel Lecture: Electronic structure of matter—wave functions and density functionals journal October 1999
Insights into Current Limitations of Density Functional Theory journal August 2008
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
XYG3s: Speedup of the XYG3 fifth-rung density functional with scaling-all-correlation method journal May 2010
Approximation of the exchange-correlation Kohn–Sham potential with a statistical average of different orbital model potentials journal March 1999
Inhomogeneous Electron Gas journal March 1973
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Rotationally invariant ab initio evaluation of Coulomb and exchange parameters for DFT+U calculations journal July 2008
A long-range correction scheme for generalized-gradient-approximation exchange functionals journal August 2001
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Density-based mixing parameter for hybrid functionals journal January 2011
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A short-range gradient-corrected spin density functional in combination with long-range coupled-cluster methods: Application to alkali-metal rare-gas dimers journal October 2006
Climbing the Density Functional Ladder: Nonempirical Meta–Generalized Gradient Approximation Designed for Molecules and Solids journal September 2003
Density functional theory with London dispersion corrections: Density functional theory with London dispersion corrections journal March 2011
Local hybrid exchange-correlation functionals based on the dimensionless density gradient journal May 2007
Uniform electron gases journal December 2011
Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields journal November 1994
Density Functional Model for Nondynamic and Strong Correlation journal December 2015
Symmetrised method for the calculation of the band structure of noncollinear magnets journal February 1986
Benchmark results for empirical post-GGA functionals: Difficult exchange problems and independent tests journal January 2011
Workhorse Semilocal Density Functional for Condensed Matter Physics and Quantum Chemistry journal July 2009
A long-range-corrected time-dependent density functional theory journal May 2004
Nonlocal van der Waals density functional: The simpler the better journal December 2010
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Localized Orbital Corrections for the Calculation of Ionization Potentials and Electron Affinities in Density Functional Theory journal September 2006
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BerkeleyGW: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures journal June 2012
The Intersection of Potential Energy Surfaces in Polyatomic Molecules journal June 1975
A new inhomogeneity parameter in density-functional theory journal August 1998
The formulation of a self-consistent constricted variational density functional theory for the description of excited states journal November 2011
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Second‐order perturbation theory with a complete active space self‐consistent field reference function journal January 1992
The equation of motion coupled‐cluster method. A systematic biorthogonal approach to molecular excitation energies, transition probabilities, and excited state properties journal May 1993
QM/MM Methods for Biomolecular Systems journal January 2009
Broken symmetry approach to density functional calculation of zero field splittings including anisotropic exchange interactions journal November 2013
Double-Hybrid Functionals for Thermochemical Kinetics journal January 2008
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Spin-component-scaled double hybrids: An extensive search for the best fifth-rung functionals blending DFT and perturbation theory journal July 2013
Phase-space approach to the exchange-energy functional of density-functional theory journal August 1986
The Gaussian and augmented-plane-wave density functional method for ab initio molecular dynamics simulations
  • Lippert, Gerald; Hutter, Jürg; Parrinello, Michele
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 103, Issue 2 https://doi.org/10.1007/s002140050523
journal December 1999
An energy functional for surfaces journal August 2001
Density functional study of multiplicity-changing valence and Rydberg excitations of p-block elements: Delta self-consistent field, collinear spin-flip time-dependent density functional theory (DFT), and conventional time-dependent DFT journal July 2011
DFVB: A Density-Functional-Based Valence Bond Method journal April 2012
Benchmark Databases for Nonbonded Interactions and Their Use To Test Density Functional Theory journal March 2005
Density Functional Theory of Open-Shell Systems. The 3d-Series Transition-Metal Atoms and Their Cations journal November 2013
Exchange-correlation energy of a metallic surface: Wave-vector analysis journal March 1977
Long-Range Corrected Hybrid Density Functionals with Improved Dispersion Corrections journal November 2012
Scalable Electron Correlation Methods I.: PNO-LMP2 with Linear Scaling in the Molecular Size and Near-Inverse-Linear Scaling in the Number of Processors journal January 2015
Assessment of a new local exchange functional OPTX journal June 2001
A new parametrization of exchange–correlation generalized gradient approximation functionals journal April 2001
Computational Redox Potential Predictions: Applications to Inorganic and Organic Aqueous Complexes, and Complexes Adsorbed to Mineral Surfaces journal April 2014
Improving virtual Kohn–Sham orbitals and eigenvalues: Application to excitation energies and static polarizabilities journal December 1998
Local hybrid functionals journal January 2003
Improved adsorption energetics within density-functional theory using revised Perdew-Burke-Ernzerhof functionals journal March 1999
Multiconfiguration Pair-Density Functional Theory: Barrier Heights and Main Group and Transition Metal Energetics journal December 2014
Prediction of molecular properties and molecular spectroscopy with density functional theory: From fundamental theory to exchange-coupling journal March 2009
A multiconfigurational hybrid density-functional theory journal July 2012
The calculation of atomic fields journal January 1927
Structural, Spectroscopic, and Redox Consequences of a Central Ligand in the FeMoco of Nitrogenase:  A Density Functional Theoretical Study journal July 2003
Double-hybrid density functionals: merging wavefunction and density approaches to get the best of both worlds journal January 2013
An Introduction to Orbital-Free Density Functional Theory book January 2005
A correlation-energy density functional for multideterminantal wavefunctions journal June 1997
Electron correlation methods based on the random phase approximation book January 2012
Computational modelling of inorganic solids journal January 2008
Accurate Density Functional for the Energy: Real-Space Cutoff of the Gradient Expansion for the Exchange Hole journal November 1985
Combining the Complete Active Space Self-Consistent Field Method and the Full Configuration Interaction Quantum Monte Carlo within a Super-CI Framework, with Application to Challenging Metal-Porphyrins text January 2016
Uniform electron gases book December 2011
Benchmarking the completely renormalised equation-of-motion coupled-cluster approaches for vertical excitation energies text January 2015
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density text January 1988
Computational modelling of inorganic solids journal January 2013
Double-hybrid density-functional theory made rigorous text January 2010
Perspectives on double-excitations in TDDFT text January 2011
Strong correlation in Kohn-Sham density functional theory text January 2012
Long-range/short-range separation of the electron-electron interaction in density functional theory text January 2004

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