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Papastathopoulos-Katsaros A, Henderson TM, Scuseria GE. Symmetry-projected cluster mean-field theory applied to spin systems. J Chem Phys 2023; 159:084107. [PMID: 37610020 DOI: 10.1063/5.0155765] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/23/2023] [Accepted: 07/11/2023] [Indexed: 08/24/2023] Open
Abstract
We introduce Sz spin-projection based on cluster mean-field theory and apply it to the ground state of strongly correlated spin systems. In cluster mean-fields, the ground state wavefunction is written as a factorized tensor product of optimized cluster states. In previous work, we have focused on unrestricted cluster mean-field, where each cluster is Sz symmetry adapted. We here remove this restriction by introducing a generalized cluster mean-field (GcMF) theory, where each cluster is allowed to access all Sz sectors, breaking Sz symmetry. In addition, a projection scheme is used to restore global Sz, which gives rise to the Sz spin-projected generalized cluster mean-field (SzGcMF). Both of these extensions contribute to accounting for inter-cluster correlations. We benchmark these methods on the 1D, quasi-2D, and 2D J1 - J2 and XXZ Heisenberg models. Our results indicate that the new methods (GcMF and SzGcMF) provide a qualitative and semi-quantitative description of the Heisenberg lattices in the regimes considered, suggesting them as useful references for further inter-cluster correlations, which are discussed in this work.
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Affiliation(s)
| | - Thomas M Henderson
- Department of Chemistry, Rice University, Houston, Texas 77005, USA
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
| | - Gustavo E Scuseria
- Department of Chemistry, Rice University, Houston, Texas 77005, USA
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
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2
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Zheng P, Gan Z, Zhou C, Su P, Wu W. λ-DFVB(U): A hybrid density functional valence bond method based on unpaired electron density. J Chem Phys 2022; 156:204103. [DOI: 10.1063/5.0091592] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this paper, a hybrid density functional valence bond method based on unpaired electron density, called λ-DFVB(U), is presented, which is a combination of the valence bond self-consistent field (VBSCF) method and Kohn–Sham density functional theory. In λ-DFVB(U), the double-counting error of electron correlation is mitigated by a linear decomposition of the electron–electron interaction using a parameter λ, which is a function of an index based on the number of effectively unpaired electrons. In addition, λ-DFVB(U) is based on the approximation that correlation functionals in KS-DFT only cover dynamic correlation and exchange functionals mimic some amount of static correlation. Furthermore, effective spin densities constructed from unpaired density are used to address the symmetry dilemma problem in λ-DFVB(U). The method is applied to test calculations of atomization energies, atomic excitation energies, and reaction barriers. It is shown that the accuracy of λ-DFVB(U) is comparable to that of CASPT2, while its computational cost is approximately the same as VBSCF.
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Affiliation(s)
- Peikun Zheng
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Department of Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
| | - Zixi Gan
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Department of Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
| | - Chen Zhou
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Department of Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
| | - Peifeng Su
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Department of Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
| | - Wei Wu
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Department of Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
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3
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Gomez JA, Molla M, Garza AJ, Henderson TM, Scuseria GE. Assessing combinations of singlet-paired coupled cluster and density functional theory for treating electron correlation in closed and open shells. Mol Phys 2019. [DOI: 10.1080/00268976.2019.1615144] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- John A. Gomez
- Department of Chemistry, Rice University, Houston, TX, USA
- Applied Physics Graduate Program, Rice University, Houston, TX, USA
| | - Mahlet Molla
- Department of Chemistry, Rice University, Houston, TX, USA
| | | | - Thomas M. Henderson
- Department of Chemistry, Rice University, Houston, TX, USA
- Department of Physics and Astronomy, Rice University, Houston, TX, USA
| | - Gustavo E. Scuseria
- Department of Chemistry, Rice University, Houston, TX, USA
- Department of Physics and Astronomy, Rice University, Houston, TX, USA
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4
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Ye HZ, Van Voorhis T. Half-Projected σ Self-Consistent Field For Electronic Excited States. J Chem Theory Comput 2019; 15:2954-2965. [PMID: 30995060 DOI: 10.1021/acs.jctc.8b01224] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Fully self-consistent mean-field solutions of electronic excited states have been much less accessible compared to ground state solutions (e.g., Hartree-Fock). The main reason for this is that most excited states are energy saddle points, and hence energy-based optimization methods such as Δ-SCF often collapse to the ground state. Recently, our research group has developed a new method, σ-SCF [ J. Chem. Phys. 2017 , 147 , 214104 ], that successfully solves the "variational collapse" problem of energy-based methods. Despite the success, σ-SCF solutions are often spin-contaminated for open-shell states due to the single-determinant nature; unphysical behaviors such as disappearing solutions and discontinuous first-order energy derivatives are also observed along with the spontaneous breaking of spin or spatial symmetries. In this work, we tackle these problems by partially restoring the broken spin-symmetry of a σ-SCF solution through an approximate spin-projection scheme called half-projection. Orbitals of the projected wave function are optimized in a variation-after-projection (VAP) manner. The resulting theory, which we term half-projected (HP) σ-SCF, brings substantial improvement to the description of singlet and triplet excitations of the original σ-SCF method. Numerical simulations on small molecules suggest that HP σ-SCF delivers high-quality excited-state solutions that exist in a wide range of geometries with smooth potential energy surfaces. We also show that local excitations in HP σ-SCF can be size-intensive.
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Affiliation(s)
- Hong-Zhou Ye
- Department of Chemistry , Massachusetts Institute of Technology , Cambridge , Massachusetts 02139 , United States
| | - Troy Van Voorhis
- Department of Chemistry , Massachusetts Institute of Technology , Cambridge , Massachusetts 02139 , United States
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5
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Alexander Voigt B, Steenbock T, Herrmann C. Structural diradical character. J Comput Chem 2019; 40:854-865. [PMID: 30592065 DOI: 10.1002/jcc.25768] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/29/2018] [Revised: 11/02/2018] [Accepted: 11/27/2018] [Indexed: 01/20/2023]
Abstract
A reliable first-principles description of singlet diradical character is essential for predicting nonlinear optical and magnetic properties of molecules. As diradical and closed-shell electronic structures differ in their distribution of single, double, triple, and aromatic bonds, modeling electronic diradical character requires accurate bond-length patterns, in addition to accurate absolute bond lengths. We therefore introduce structural diradical character, which we suggest as an additional measure for comparing first-principles calculations with experimental data. We employ this measure to identify suitable exchange-correlation functionals for predicting the bond length patterns and electronic diradical character of a biscobaltocene with the potential for photoswitchable nonlinear optical activity. Out of four popular approximate exchange-correlation functionals with different exact-exchange admixtures (BP86, TPSS, B3LYP, TPSSh), the two hybrid functionals TPSSh and B3LYP perform best for diradical bond length patterns, with TPSSh being best for the organometallic validation systems and B3LYP for the organic ones (for which the D3 dispersion correction was included). Still, none of the functionals is suitable for correctly describing relative bond lengths across the range of molecules studied, so that none can be recommended for predictive studies of (potential) diradicals without reservation. © 2018 Wiley Periodicals, Inc.
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Affiliation(s)
- Bodo Alexander Voigt
- Institute for Inorganic and Applied Chemistry, Martin-Luther-King-Platz 6, University of Hamburg, 20146, Hamburg, Germany
| | - Torben Steenbock
- Institute of Physical Chemistry, University of Hamburg, Grindelallee 117, 20146, Hamburg, Germany
| | - Carmen Herrmann
- Institute for Inorganic and Applied Chemistry, Martin-Luther-King-Platz 6, University of Hamburg, 20146, Hamburg, Germany
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7
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Chattopadhyay S. The effect of substituents on energy splitting in organic radicals: Quantitative cognizance from ab initio studies. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.08.008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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8
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Hollett JW, Pegoretti N. On-top density functionals for the short-range dynamic correlation between electrons of opposite and parallel spin. J Chem Phys 2018; 148:164111. [DOI: 10.1063/1.5025171] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Joshua W. Hollett
- Department of Chemistry, University of Winnipeg, Winnipeg, Manitoba, R3B 2G3, Canada
- Department of Chemistry, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada
| | - Nicholas Pegoretti
- Department of Chemistry, University of Winnipeg, Winnipeg, Manitoba, R3B 2G3, Canada
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9
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Lestrange PJ, Williams-Young DB, Petrone A, Jiménez-Hoyos CA, Li X. Efficient Implementation of Variation after Projection Generalized Hartree–Fock. J Chem Theory Comput 2018; 14:588-596. [DOI: 10.1021/acs.jctc.7b00832] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Patrick J. Lestrange
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | | | - Alessio Petrone
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | | | - Xiaosong Li
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
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10
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Stoneburner SJ, Shen J, Ajala AO, Piecuch P, Truhlar DG, Gagliardi L. Systematic design of active spaces for multi-reference calculations of singlet–triplet gaps of organic diradicals, with benchmarks against doubly electron-attached coupled-cluster data. J Chem Phys 2017; 147:164120. [DOI: 10.1063/1.4998256] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
Affiliation(s)
- Samuel J. Stoneburner
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, 207 Pleasant Street Southeast, Minneapolis, Minnesota 55455-0431, USA
| | - Jun Shen
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Adeayo O. Ajala
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Donald G. Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, 207 Pleasant Street Southeast, Minneapolis, Minnesota 55455-0431, USA
| | - Laura Gagliardi
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, 207 Pleasant Street Southeast, Minneapolis, Minnesota 55455-0431, USA
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11
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Thompson LM, Jarrold CC, Hratchian HP. Explaining the MoVO4− photoelectron spectrum: Rationalization of geometric and electronic structure. J Chem Phys 2017; 146:104301. [DOI: 10.1063/1.4977418] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Lee M. Thompson
- Chemistry and Chemical Biology, University of California, Merced, California 95343, USA
| | - Caroline C. Jarrold
- Department of Chemistry, Indiana University, Bloomington, Indiana 47405, USA
| | - Hrant P. Hratchian
- Chemistry and Chemical Biology, University of California, Merced, California 95343, USA
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12
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Tsuchimochi T, Ten-no S. General technique for analytical derivatives of post-projected Hartree-Fock. J Chem Phys 2017; 146:074104. [DOI: 10.1063/1.4976145] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
Affiliation(s)
- Takashi Tsuchimochi
- Graduate School of Science, Technology, and Innovation, Kobe University, Kobe, Hyogo 657-0025, Japan
| | - Seiichiro Ten-no
- Graduate School of Science, Technology, and Innovation, Kobe University, Kobe, Hyogo 657-0025, Japan
- Graduate School of System Informatics, Kobe University, Kobe, Hyogo 657-0025, Japan
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13
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Pijeau S, Hohenstein EG. Improved Complete Active Space Configuration Interaction Energies with a Simple Correction from Density Functional Theory. J Chem Theory Comput 2017; 13:1130-1146. [DOI: 10.1021/acs.jctc.6b00893] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Shiela Pijeau
- Department
of Chemistry and Biochemistry, The City College of New York, New York, New York 10031, United States
| | - Edward G. Hohenstein
- Department
of Chemistry and Biochemistry, The City College of New York, New York, New York 10031, United States
- Ph.D.
Program in Chemistry, The City University of New York, New York, New York 10016, United States
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14
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Gomez JA, Degroote M, Zhao J, Qiu Y, Scuseria GE. Spin polynomial similarity transformation for repulsive Hamiltonians: interpolating between coupled cluster and spin-projected unrestricted Hartree–Fock. Phys Chem Chem Phys 2017; 19:22385-22394. [DOI: 10.1039/c7cp04075j] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Our overarching goal is to be able to describe both weak and strong correlation with a single, computationally affordable method without sacrificing important qualities of the wavefunction, e.g. symmetries of the Hamiltonian.
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Affiliation(s)
- John A. Gomez
- Department of Chemistry
- Rice University
- Houston
- USA
- Applied Physics Program
| | | | - Jinmo Zhao
- Department of Chemistry
- Rice University
- Houston
- USA
| | - Yiheng Qiu
- Department of Chemistry
- Rice University
- Houston
- USA
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15
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Hollett JW, Hosseini H, Menzies C. A cumulant functional for static and dynamic correlation. J Chem Phys 2016; 145:084106. [DOI: 10.1063/1.4961243] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Joshua W. Hollett
- Department of Chemistry, University of Winnipeg, Winnipeg, Manitoba R3B 2G3, Canada
- Department of Chemistry, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
| | - Hessam Hosseini
- Department of Chemistry, University of Winnipeg, Winnipeg, Manitoba R3B 2G3, Canada
| | - Cameron Menzies
- Department of Chemistry, University of Winnipeg, Winnipeg, Manitoba R3B 2G3, Canada
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16
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Tsuchimochi T, Ten-no S. Black-Box Description of Electron Correlation with the Spin-Extended Configuration Interaction Model: Implementation and Assessment. J Chem Theory Comput 2016; 12:1741-59. [DOI: 10.1021/acs.jctc.6b00137] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Takashi Tsuchimochi
- Graduate School of System
Informatics, Kobe University, Kobe 657-8501, Japan
| | - Seiichiro Ten-no
- Graduate School of System
Informatics, Kobe University, Kobe 657-8501, Japan
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17
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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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18
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Li Manni G, Carlson RK, Luo S, Ma D, Olsen J, Truhlar DG, Gagliardi L. Multiconfiguration Pair-Density Functional Theory. J Chem Theory Comput 2015; 10:3669-80. [PMID: 26588512 DOI: 10.1021/ct500483t] [Citation(s) in RCA: 299] [Impact Index Per Article: 33.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present a new theoretical framework, called Multiconfiguration Pair-Density Functional Theory (MC-PDFT), which combines multiconfigurational wave functions with a generalization of density functional theory (DFT). A multiconfigurational self-consistent-field (MCSCF) wave function with correct spin and space symmetry is used to compute the total electronic density, its gradient, the on-top pair density, and the kinetic and Coulomb contributions to the total electronic energy. We then use a functional of the total density, its gradient, and the on-top pair density to calculate the remaining part of the energy, which we call the on-top-density-functional energy in contrast to the exchange-correlation energy of Kohn-Sham DFT. Because the on-top pair density is an element of the two-particle density matrix, this goes beyond the Hohenberg-Kohn theorem that refers only to the one-particle density. To illustrate the theory, we obtain first approximations to the required new type of density functionals by translating conventional density functionals of the spin densities using a simple prescription, and we perform post-SCF density functional calculations using the total density, density gradient, and on-top pair density from the MCSCF calculations. Double counting of dynamic correlation or exchange does not occur because the MCSCF energy is not used. The theory is illustrated by applications to the bond energies and potential energy curves of H2, N2, F2, CaO, Cr2, and NiCl and the electronic excitation energies of Be, C, N, N(+), O, O(+), Sc(+), Mn, Co, Mo, Ru, N2, HCHO, C4H6, c-C5H6, and pyrazine. The method presented has a computational cost and scaling similar to MCSCF, but a quantitative accuracy, even with the present first approximations to the new types of density functionals, that is comparable to much more expensive multireference perturbation theory methods.
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Affiliation(s)
- Giovanni Li Manni
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Rebecca K Carlson
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Sijie Luo
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Dongxia Ma
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Jeppe Olsen
- Department of Chemistry, Aarhus University , Langelandsgade 140, DK-8000, Aarhus C, Denmark
| | - Donald G Truhlar
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Laura Gagliardi
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
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19
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Garza AJ, Bulik IW, Alencar AGS, Sun J, Perdew JP, Scuseria GE. Combinations of coupled cluster, density functionals, and the random phase approximation for describing static and dynamic correlation, and van der Waals interactions. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1123315] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
| | | | | | - Jianwei Sun
- Department of Physics, Temple University, Philadelphia, PA, USA
| | - John P. Perdew
- Department of Physics, Temple University, Philadelphia, PA, USA
- Department of Chemistry, Temple University, Philadelphia, PA, USA
| | - Gustavo E. Scuseria
- Department of Chemistry, Rice University, Houston, TX, USA
- Department of Physics and Astronomy, Rice University, Houston, TX, USA
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20
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Kong J, Proynov E. Density Functional Model for Nondynamic and Strong Correlation. J Chem Theory Comput 2015; 12:133-43. [DOI: 10.1021/acs.jctc.5b00801] [Citation(s) in RCA: 45] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jing Kong
- Department of Chemistry and
Center for Computational Sciences, Middle Tennessee State University, 1301 Main Street, Murfreesboro, Tennessee 37130, United States
| | - Emil Proynov
- Department of Chemistry and
Center for Computational Sciences, Middle Tennessee State University, 1301 Main Street, Murfreesboro, Tennessee 37130, United States
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21
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Garza AJ, Bulik IW, Henderson TM, Scuseria GE. Range separated hybrids of pair coupled cluster doubles and density functionals. Phys Chem Chem Phys 2015; 17:22412-22. [PMID: 26249820 DOI: 10.1039/c5cp02773j] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Pair coupled cluster doubles (pCCD) is a size-consistent, size-extensive, low-cost simplification of CCD that has been shown to be able to describe static correlation without breaking symmetry. We combine pCCD with Kohn-Sham functionals of the density and the local pair density in order to incorporate dynamic correlation in pCCD while maintaining its low cost. Double counting is eliminated by splitting the (interelectron) Coulomb operator into complementary short- and long-range parts, and evaluating the two-body energy with pCCD in the long-range and with density functionals in the short-range. This simultaneously suppresses self-interaction in the Hartree-exchange term of the functionals. Generalizations including a fraction of wavefunction two-body energy in the short-range are also derived and studied. The improvement of our pCCD+DFT hybrids over pCCD is demonstrated in calculations on benchmarks where both types of correlation are important.
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Affiliation(s)
- Alejandro J Garza
- Department of Chemistry, Rice University, Houston, Texas 77251-1892, USA.
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22
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Affiliation(s)
- Takashi Tsuchimochi
- Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA
| | - Troy Van Voorhis
- Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA
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23
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Garza AJ, Bulik IW, Henderson TM, Scuseria GE. Synergy between pair coupled cluster doubles and pair density functional theory. J Chem Phys 2015; 142:044109. [DOI: 10.1063/1.4906607] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023] Open
Affiliation(s)
- Alejandro J. Garza
- Department of Chemistry, Rice University, Houston, Texas 77251-1892, USA
| | - Ireneusz W. Bulik
- Department of Chemistry, Rice University, Houston, Texas 77251-1892, USA
| | - Thomas M. Henderson
- Department of Chemistry and Department of Physics and Astronomy, Rice University, Houston, Texas 77251-1892, USA
| | - Gustavo E. Scuseria
- Department of Chemistry and Department of Physics and Astronomy, Rice University, Houston, Texas 77251-1892, USA
- Chemistry Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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