1
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Ruan S, Ren X, Gould T, Ruzsinszky A. Self-Interaction-Corrected Random Phase Approximation. J Chem Theory Comput 2021; 17:2107-2115. [PMID: 33689324 DOI: 10.1021/acs.jctc.0c01079] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The short-range correlation energy of the random phase approximation (RPA) is too negative and is often corrected by local or nonlocal methods. These beyond-RPA corrections usually lead to a mixed performance for thermodynamics and dissociation properties. RPA+ is an additive correction based on density functional approximations that often gives realistic total energies for atoms or solids. RPA+ adds a moderate correction to the ionization energies/electron affinities of RPA but does not yield an improvement beyond RPA for atomization energies of molecules. This incompleteness results in severely underestimated atomization energies just like in RPA. Exchange-correlation kernels within the Dyson equation could simultaneously improve atomization, ionization energies, and electron affinities, but their implementation is computationally less feasible in localized basis set codes. In preceding work ( Phys. Rev. A 100, 2019022515), two of the authors proposed a computationally efficient generalized RPA+ (gRPA+) that changes RPA+ only for spin-polarized systems by making gRPA+ exact for all one-electron densities. gRPA+ was found to yield a large improvement of ionization energies and electron affinities of light atoms over RPA, and a smaller improvement over RPA+. Within this work, we investigate to what extent this improvement transfers to atomization energies, ionization energies, and electron affinities of molecules, using a modified gRPA+ (mgRPA+) method that can be applied in codes with localized basis functions. We thereby aim to understand the applicability of beyond-RPA corrections based on density functional approximations.
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Affiliation(s)
- Shiqi Ruan
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, United States
| | - Xinguo Ren
- Institute of Physics, Chinese Academy of Sciences, 3rd South Street 8, Beijing 100190, China
| | - Tim Gould
- Qld Micro- and Nanotechnology Center, Griffith University, Nathan, Qld 4111, Australia
| | - Adrienn Ruzsinszky
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, United States
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2
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Zhang IY, Xu X. On the top rung of Jacob's ladder of density functional theory: Toward resolving the dilemma of
SIE
and
NCE. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2020. [DOI: 10.1002/wcms.1490] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Igor Ying Zhang
- Shanghai Key Laboratory of Molecular Catalysis and Innovation Materials, Collaborative Innovation Centre of Chemistry for Energy Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry Fudan University Shanghai China
| | - Xin Xu
- Shanghai Key Laboratory of Molecular Catalysis and Innovation Materials, Collaborative Innovation Centre of Chemistry for Energy Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry Fudan University Shanghai China
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3
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Kreppel A, Graf D, Laqua H, Ochsenfeld C. Range-Separated Density-Functional Theory in Combination with the Random Phase Approximation: An Accuracy Benchmark. J Chem Theory Comput 2020; 16:2985-2994. [PMID: 32329618 DOI: 10.1021/acs.jctc.9b01294] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A formulation of range-separated random phase approximation (RPA) based on our efficient ω-CDGD-RI-RPA [J. Chem. Theory Comput. 2018, 14, 2505] method and a large scale benchmark study are presented. By application to the GMTKN55 data set, we obtain a comprehensive picture of the performance of range-separated RPA in general main group thermochemistry, kinetics, and noncovalent interactions. The results show that range-separated RPA performs stably over the broad range of molecular chemistry included in the GMTKN55 set. It improves significantly over semilocal DFT but it is still less accurate than modern dispersion corrected double-hybrid functionals. Furthermore, range-separated RPA shows a faster basis set convergence compared to standard full-range RPA making it a promising applicable approach with only one empirical parameter.
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Affiliation(s)
- Andrea Kreppel
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
| | - Daniel Graf
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
| | - Henryk Laqua
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
| | - Christian Ochsenfeld
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany.,Max Planck Institute for Solid State Research, Heisenbergstr. 1, D-70569 Stuttgart, Germany
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4
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Thierbach A, Schmidtel D, Görling A. Robust and accurate hybrid random-phase-approximation methods. J Chem Phys 2019; 151:144117. [DOI: 10.1063/1.5120587] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Adrian Thierbach
- Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg, Egerlandstr. 3, D-91058 Erlangen, Germany
| | - Daniel Schmidtel
- Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg, Egerlandstr. 3, D-91058 Erlangen, Germany
| | - Andreas Görling
- Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg, Egerlandstr. 3, D-91058 Erlangen, Germany
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5
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Sharkas K, Li L, Trepte K, Withanage KPK, Joshi RP, Zope RR, Baruah T, Johnson JK, Jackson KA, Peralta JE. Shrinking Self-Interaction Errors with the Fermi-Löwdin Orbital Self-Interaction-Corrected Density Functional Approximation. J Phys Chem A 2018; 122:9307-9315. [PMID: 30412407 DOI: 10.1021/acs.jpca.8b09940] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The self-interaction error (SIE) is one of the major drawbacks of practical exchange-correlation functionals for Kohn-Sham density functional theory. Despite this, the use of methods that explicitly remove SIE from approximate density functionals is scarce in the literature due to their relatively high computational cost and lack of consistent improvement over standard modern functionals. In this article we assess the performance of a novel approach recently proposed by Pederson, Ruzsinszky, and Perdew [ J. Chem. Phys. 2014, 140, 121103] for performing self-interaction free calculations in density functional theory based on Fermi orbitals. To this end, we employ test sets consisting of reaction energies that are considered particularly sensitive to SIE. We found that the parameter-free Fermi-Löwdin orbital self-interaction correction method combined with the standard local spin density approximation (LSDA) and Perdew-Burke-Ernzerhof (PBE) functionals gives a much better estimate of reaction energies compared to their parent LSDA and PBE functionals for most of the reactions in these two sets. They also perform on par with the global PBE0 and range-separated LC-ωPBE hybrids, which partially eliminate the SIE by including Hartree-Fock exchange. This shows the potential of the Fermi-Löwdin orbital self-interaction correction (FLOSIC) method for practical density functional calculations without SIE.
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Affiliation(s)
| | - Lin Li
- Department of Chemical and Petroleum Engineering , University of Pittsburgh , Pittsburgh , Pennsylvania 15261 , United States
| | | | | | | | - Rajendra R Zope
- Department of Physics , University of Texas El Paso , El Paso , Texas 79968 , United States
| | - Tunna Baruah
- Department of Physics , University of Texas El Paso , El Paso , Texas 79968 , United States
| | - J Karl Johnson
- Department of Chemical and Petroleum Engineering , University of Pittsburgh , Pittsburgh , Pennsylvania 15261 , United States
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6
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Chen GP, Agee MM, Furche F. Performance and Scope of Perturbative Corrections to Random-Phase Approximation Energies. J Chem Theory Comput 2018; 14:5701-5714. [PMID: 30240213 DOI: 10.1021/acs.jctc.8b00777] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
It has been suspected since the early days of the random-phase approximation (RPA) that corrections to RPA correlation energies result mostly from short-range correlation effects and are thus amenable to perturbation theory. Here we test this hypothesis by analyzing formal and numerical results for the most common beyond-RPA perturbative corrections, including the bare second-order exchange (SOX), second-order screened exchange (SOSEX), and approximate exchange kernel (AXK) methods. Our analysis is facilitated by efficient and robust algorithms based on the resolution-of-the-identity (RI) approximation and numerical frequency integration, which enable benchmark beyond-RPA calculations on medium- and large-size molecules with size-independent accuracy. The AXK method systematically improves upon RPA, SOX, and SOSEX for reaction barrier heights, reaction energies, and noncovalent interaction energies of main-group compounds. The improved accuracy of AXK compared with SOX and SOSEX is attributed to stronger screening of bare SOX in AXK. For reactions involving transition-metal compounds, particularly 3d transition-metal dimers, the AXK correction is too small and can even have the wrong sign. These observations are rationalized by a measure α̅ of the effective coupling strength for beyond-RPA correlation. When the effective coupling strength increases beyond a critical α̅ value of approximately 0.5, the RPA errors increase rapidly and perturbative corrections become unreliable. Thus, perturbation theory can systematically correct RPA but only for systems and properties qualitatively well captured by RPA, as indicated by small α̅ values.
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Affiliation(s)
- Guo P Chen
- University of California, Irvine , Department of Chemistry , 1102 Natural Sciences II , Irvine , California 92697-2025 , United States
| | - Matthew M Agee
- University of California, Irvine , Department of Chemistry , 1102 Natural Sciences II , Irvine , California 92697-2025 , United States
| | - Filipp Furche
- University of California, Irvine , Department of Chemistry , 1102 Natural Sciences II , Irvine , California 92697-2025 , United States
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7
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Beuerle M, Ochsenfeld C. Short-range second order screened exchange correction to RPA correlation energies. J Chem Phys 2017; 147:204107. [DOI: 10.1063/1.4998647] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Matthias Beuerle
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, D-81377 München, Germany and Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU), Butenandtstr. 5–13, D-81377 München, Germany
| | - Christian Ochsenfeld
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, D-81377 München, Germany and Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU), Butenandtstr. 5–13, D-81377 München, Germany
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8
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Waitt C, Ferrara NM, Eshuis H. Thermochemistry and Geometries for Transition-Metal Chemistry from the Random Phase Approximation. J Chem Theory Comput 2016; 12:5350-5360. [DOI: 10.1021/acs.jctc.6b00756] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Craig Waitt
- Department
of Chemistry and
Biochemistry, Montclair State University, Montclair, New Jersey 07043, United States
| | - Nashali M. Ferrara
- Department
of Chemistry and
Biochemistry, Montclair State University, Montclair, New Jersey 07043, United States
| | - Henk Eshuis
- Department
of Chemistry and
Biochemistry, Montclair State University, Montclair, New Jersey 07043, United States
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9
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Sancho-García JC, Pérez-Jiménez AJ, Savarese M, Brémond E, Adamo C. Importance of Orbital Optimization for Double-Hybrid Density Functionals: Application of the OO-PBE-QIDH Model for Closed- and Open-Shell Systems. J Phys Chem A 2016; 120:1756-62. [DOI: 10.1021/acs.jpca.6b00994] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- J. C. Sancho-García
- Departamento
de Química Física, Universidad de Alicante, 03080 Alicante, Spain
| | - A. J. Pérez-Jiménez
- Departamento
de Química Física, Universidad de Alicante, 03080 Alicante, Spain
| | - M. Savarese
- CompuNet, Istituto Italiano di Tecnologia, via Morego 30, I-16163 Genoa, Italy
| | - E. Brémond
- CompuNet, Istituto Italiano di Tecnologia, via Morego 30, I-16163 Genoa, Italy
| | - C. Adamo
- CompuNet, Istituto Italiano di Tecnologia, via Morego 30, I-16163 Genoa, Italy
- Institut de Recherche
de Chimie Paris, IRCP CNRS UMR-8247, Chimie ParisTech, École Nationale Superieure de Chimie de Paris, 11 rue P. et M. Curie, F-75231 Paris Cedex 05, France
- Institut Universitaire de France, 103 Boulevard Saint Michel, F-75005 Paris, France
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10
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Su NQ, Xu X. Beyond energies: geometry predictions with the XYG3 type of doubly hybrid density functionals. Chem Commun (Camb) 2016; 52:13840-13860. [DOI: 10.1039/c6cc04886b] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The scaled mean absolute deviations (s-MADs) of the optimized geometric parameters for covalent bondings (the CCse set), nonbonded interactions (the S22G30 set) and the transition state structures (the TSG36 set), with Tot referring to the averaged s-MAD for general performances.
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Affiliation(s)
- Neil Qiang Su
- Collaborative Innovation Center of Chemistry for Energy Materials
- Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials
- MOE Laboratory for Computational Physical Science
- Department of Chemistry
- Fudan University
| | - Xin Xu
- Collaborative Innovation Center of Chemistry for Energy Materials
- Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials
- MOE Laboratory for Computational Physical Science
- Department of Chemistry
- Fudan University
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