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Maniar R, Withanage KPK, Shahi C, Kaplan AD, Perdew JP, Pederson MR. Symmetry breaking and self-interaction correction in the chromium atom and dimer. J Chem Phys 2024; 160:144301. [PMID: 38587222 DOI: 10.1063/5.0180863] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2023] [Accepted: 03/21/2024] [Indexed: 04/09/2024] Open
Abstract
Density functional approximations to the exchange-correlation energy can often identify strongly correlated systems and estimate their energetics through energy-minimizing symmetry-breaking. In particular, the binding energy curve of the strongly correlated chromium dimer is described qualitatively by the local spin density approximation (LSDA) and almost quantitatively by the Perdew-Burke-Ernzerhof generalized gradient approximation (PBE-GGA), where the symmetry breaking is antiferromagnetic for both. Here, we show that a full Perdew-Zunger self-interaction-correction (SIC) to LSDA seems to go too far by creating an unphysical symmetry-broken state, with effectively zero magnetic moment but non-zero spin density on each atom, which lies ∼4 eV below the antiferromagnetic solution. A similar symmetry-breaking, observed in the atom, better corresponds to the 3d↑↑4s↑3d↓↓4s↓ configuration than to the standard 3d↑↑↑↑↑4s↑. For this new solution, the total energy of the dimer at its observed bond length is higher than that of the separated atoms. These results can be regarded as qualitative evidence that the SIC needs to be scaled down in many-electron regions.
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Affiliation(s)
- Rohan Maniar
- Department of Physics and Engineering Physics, Tulane University, 6400 Freret St., New Orleans, Louisiana 70118, USA
| | - Kushantha P K Withanage
- Department of Physics, The University of Texas at El Paso, 500 West University Ave., El Paso, Texas 79968, USA
| | - Chandra Shahi
- Department of Physics and Engineering Physics, Tulane University, 6400 Freret St., New Orleans, Louisiana 70118, USA
| | - Aaron D Kaplan
- Materials Project, Lawrence Berkeley National Laboratory, 1 Cyclotron Rd., B33-141B, Berkeley, California 94720, USA
| | - John P Perdew
- Department of Physics and Engineering Physics, Tulane University, 6400 Freret St., New Orleans, Louisiana 70118, USA
| | - Mark R Pederson
- Department of Physics, The University of Texas at El Paso, 500 West University Ave., El Paso, Texas 79968, USA
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Pederson MR, Withanage KPK, Hooshmand Z, Johnson AI, Baruah T, Yamamoto Y, Zope RR, Kao DY, Shukla PB, Johnson JK, Peralta JE, Jackson KA. Use of FLOSIC for understanding anion-solvent interactions. J Chem Phys 2023; 159:154112. [PMID: 37861122 DOI: 10.1063/5.0172300] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/14/2023] [Accepted: 09/20/2023] [Indexed: 10/21/2023] Open
Abstract
An Achille's heel of lower-rung density-functional approximations is that the highest-occupied-molecular-orbital energy levels of anions, known to be stable or metastable in nature, are often found to be positive in the worst case or above the lowest-unoccupied-molecular-orbital levels on neighboring complexes that are not expected to accept charge. A trianionic example, [Cr(C2O4)3]3-, is of interest for constraining models linking Cr isotope ratios in rock samples to oxygen levels in Earth's atmosphere over geological timescales. Here we describe how crowd sourcing can be used to carry out self-consistent Fermi-Löwdin-Orbital-Self-Interaction corrected calculations (FLOSIC) on this trianion in solution. The calculations give a physically correct description of the electronic structure of the trianion and water. In contrast, uncorrected local density approximation (LDA) calculations result in approximately half of the anion charge being transferred to the water bath due to the effects of self-interaction error. Use of group-theory and the intrinsic sparsity of the theory enables calculations roughly 125 times faster than our initial implementation in the large N limit reached here. By integrating charge density densities and Coulomb potentials over regions of space and analyzing core-level shifts of the Cr and O atoms as a function of position and functional, we unambiguously show that FLOSIC, relative to LDA, reverses incorrect solute-solvent charge transfer in the trianion-water complex. In comparison to other functionals investigated herein, including Hartree-Fock and the local density approximation, the FLOSIC Cr 1s eigenvalues provide the best agreement with experimental core ionization energies.
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Affiliation(s)
- Mark R Pederson
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | | | - Zahra Hooshmand
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Alex I Johnson
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Tunna Baruah
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Yoh Yamamoto
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Rajendra R Zope
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Der-You Kao
- NASA Postdoctoral Program, NASA Goddard Space Flight Center, Greenbelt, Maryland 20771, USA
| | - Priyanka B Shukla
- Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, USA
| | - J Karl Johnson
- Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, USA
| | - Juan E Peralta
- Physics Department, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
| | - Koblar A Jackson
- Physics Department, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
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Pederson MR, Johnson AI, Withanage KPK, Dolma S, Flores GB, Hooshmand Z, Khandal K, Lasode PO, Baruah T, Jackson KA. Downward quantum learning from element 118: Automated generation of Fermi-Löwdin orbitals for all atoms. J Chem Phys 2023; 158:084101. [PMID: 36859080 DOI: 10.1063/5.0135089] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/09/2023] Open
Abstract
A new algorithm based on a rigorous theorem and quantum data computationally mined from element 118 guarantees automated construction of initial Fermi-Löwdin-Orbital (FLO) starting points for all elements in the Periodic Table. It defines a means for constructing a small library of scalable FLOs for universal use in molecular and solid-state calculations. The method can be systematically improved for greater efficiency and for applications to excited states such as x-ray excitations and optically silent excitations. FLOs were introduced to recast the Perdew-Zunger self-interaction correction (PZSIC) into an explicit unitarily invariant form. The FLOs are generated from a set of N quasi-classical electron positions, referred to as Fermi-Orbital descriptors (FODs), and a set of N-orthonormal single-electron orbitals. FOD positions, when optimized, minimize the PZSIC total energy. However, creating sets of starting FODs that lead to a positive definite Fermi orbital overlap matrix has proven to be challenging for systems composed of open-shell atoms and ions. The proof herein guarantees the existence of a FLOSIC solution and further guarantees that if a solution for N electrons is found, it can be used to generate a minimum of N - 1 and a maximum of 2N - 2 initial starting points for systems composed of a smaller number of electrons. Applications to heavy and super-heavy atoms are presented. All starting solutions reported here were obtained from a solution for element 118, Oganesson.
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Affiliation(s)
- Mark R Pederson
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Alexander I Johnson
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | | | - Sherab Dolma
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Gustavo Bravo Flores
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Zahra Hooshmand
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Kusal Khandal
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Peter O Lasode
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Tunna Baruah
- Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Koblar A Jackson
- Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859, USA
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Abstract
This paper introduces the use of complex Fermi orbital descriptors (FODs) in the Fermi-Löwdin self-interaction-corrected density functional theory (FLOSIC). With complex FODs, the Fermi-Löwdin orbitals (FLOs) that are used to evaluate the SIC correction to the total energy become complex. Complex FLO-SIC (cFLOSIC) calculations based on the local spin density approximation produce total energies that are generally lower than the corresponding energies found with FLOSIC restricted to real orbitals (rFLOSIC). The cFLOSIC results are qualitatively similar to earlier Perdew-Zunger SIC (PZ-SIC) calculations using complex orbitals [J. Chem. Phys. 80, 1972 (1984); Phys. Rev. A 84, 050501(R) (2011); and J. Chem. Phys. 137, 124102 (2012)]. The energy lowering stems from the exchange-correlation part of the self-interaction correction. The Hartree part of the correction is more negative in rFLOSIC. The energy difference between real and complex solutions is greater for more strongly hybridized FLOs in atoms and for FLOs corresponding to double and triple bonds in molecules. The case of N2 is examined in detail to show the differences between the real and complex FLOs. We show that the complex triple-bond orbitals are simple, and physically appealing combinations of π and σg orbitals that have not been discussed before. Consideration of complex FODs, and resulting unitary transformations, underscores the fact that FLO centroids are not necessarily good guesses for FOD positions in a FLOSIC calculation.
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Affiliation(s)
| | - Koblar A Jackson
- Department of Physics, Central Michigan Universiy, Mount Pleasant, Michigan 48859, USA
| | - Mark R Pederson
- Department of Physics, the University of Texas at El Paso, El Paso, Texas 79968, USA
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Withanage KPK, Sharkas K, Johnson JK, Perdew JP, Peralta JE, Jackson KA. Fermi–Löwdin orbital self-interaction correction of adsorption energies on transition metal ions. J Chem Phys 2022; 156:134102. [DOI: 10.1063/5.0078970] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
Abstract
Density functional theory (DFT)-based descriptions of the adsorption of small molecules on transition metal ions are prone to self-interaction errors. Here, we show that such errors lead to a large over-estimation of adsorption energies of small molecules on Cu+, Zn+, Zn2+, and Mn+ in local spin density approximation (LSDA) and Perdew, Burke, Ernzerhof (PBE) generalized gradient approximation calculations compared to reference values computed using the coupled-cluster with single, doubles, and perturbative triple excitations method. These errors are significantly reduced by removing self-interaction using the Perdew–Zunger self-interaction correction (PZ-SIC) in the Fermi–Löwdin Orbital (FLO) SIC framework. In the case of FLO-PBE, typical errors are reduced to less than 0.1 eV. Analysis of the results using DFT energies evaluated on self-interaction-corrected densities [DFT(@FLO)] indicates that the density-driven contributions to the FLO-DFT adsorption energy corrections are roughly the same size in DFT = LSDA and PBE, but the total corrections due to removing self-interaction are larger in LSDA.
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Affiliation(s)
- Kushantha P. K. Withanage
- Department of Physics and Science of Advanced Materials Program, Central Michigan University, Mount Pleasant, Michigan 48859, USA
- Department of Physics, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Kamal Sharkas
- Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - J. Karl Johnson
- Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, USA
| | - John P. Perdew
- Department of Physics and Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Juan E. Peralta
- Department of Physics and Science of Advanced Materials Program, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - Koblar A. Jackson
- Department of Physics and Science of Advanced Materials Program, Central Michigan University, Mount Pleasant, Michigan 48859, USA
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Withanage KPK, Bhattarai P, Peralta JE, Zope RR, Baruah T, Perdew JP, Jackson KA. Density-related properties from self-interaction corrected density functional theory calculations. J Chem Phys 2021; 154:024102. [DOI: 10.1063/5.0034545] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Kushantha P. K. Withanage
- Physics Department and Science of Advanced Materials Program, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
| | - Puskar Bhattarai
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Juan E. Peralta
- Physics Department and Science of Advanced Materials Program, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
| | - Rajendra R. Zope
- Physics Department and Computational Science Program, University of Texas, El Paso, Texas 79968, USA
| | - Tunna Baruah
- Physics Department and Computational Science Program, University of Texas, El Paso, Texas 79968, USA
| | - John P. Perdew
- Physics Department and Chemistry Department, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Koblar A. Jackson
- Physics Department and Science of Advanced Materials Program, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
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Johnson AI, Withanage KPK, Sharkas K, Yamamoto Y, Baruah T, Zope RR, Peralta JE, Jackson KA. The effect of self-interaction error on electrostatic dipoles calculated using density functional theory. J Chem Phys 2019; 151:174106. [PMID: 31703485 DOI: 10.1063/1.5125205] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Spurious electron self-interaction in density functional approximations (DFAs) can lead to inaccurate predictions of charge transfer in heteronuclear molecules that manifest as errors in calculated electrostatic dipoles. Here, we show the magnitude of these errors on dipoles computed for a diverse set of 47 molecules taken from the recent benchmark study of Hait and Head-Gordon [J. Chem. Theory Comput. 14, 1969 (2018)]. We compare the results of Perdew-Wang local spin density approximation (PW92), Perdew-Burke-Ernzerhof (PBE) generalized gradient approximation (GGA), and strongly constrained and appropriately normed (SCAN) meta-GGA dipole calculations, along with those of their respective self-interaction-corrected (SIC) counterparts, to reference values from accurate wave function-based methods. The SIC calculations were carried out using the Fermi-Löwdin orbital (FLO-SIC) approach. We find that correcting for self-interaction generally increases the degree of charge transfer, thereby increasing the size of calculated dipole moments. The FLO-SIC-PW92 and FLO-SIC-PBE dipoles are in better agreement with reference values than their uncorrected DFA counterparts, particularly for strongly ionic molecules where significant improvement is seen. Applying FLO-SIC to SCAN does not improve dipole values overall. We also show that removing self-interaction improves the description of the dipole for stretched-bond geometries and recovers the physically correct separated atom limit of zero dipole. Finally, we find that the best agreement between the FLO-SIC-DFA and reference dipoles occurs when the molecular geometries are optimized using the FLO-SIC-DFA.
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Affiliation(s)
- Alexander I Johnson
- Physics Department, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
| | - Kushantha P K Withanage
- Physics Department and Science of Advanced Materials Program, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
| | - Kamal Sharkas
- Physics Department, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
| | - Yoh Yamamoto
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Tunna Baruah
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Rajendra R Zope
- Physics Department, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Juan E Peralta
- Physics Department and Science of Advanced Materials Program, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
| | - Koblar A Jackson
- Physics Department and Science of Advanced Materials Program, Central Michigan University, Mt. Pleasant, Michigan 48859, USA
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Jackson KA, Withanage KPK, Peralta JE. Comment on "Additional Insights Between Fermi-Löwdin Orbital SIC and the Localization Equation Constraints in SIC-DFT". J Phys Chem A 2019; 123:4322-4323. [PMID: 31009221 DOI: 10.1021/acs.jpca.9b02516] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Koblar A Jackson
- Department of Physics and Science of Advanced Materials Program , Central Michigan University , Mount Pleasant , Michigan 48859 , United States
| | - Kushantha P K Withanage
- Department of Physics and Science of Advanced Materials Program , Central Michigan University , Mount Pleasant , Michigan 48859 , United States
| | - Juan E Peralta
- Department of Physics and Science of Advanced Materials Program , Central Michigan University , Mount Pleasant , Michigan 48859 , United States
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Trepte K, Schwalbe S, Hahn T, Kortus J, Kao DY, Yamamoto Y, Baruah T, Zope RR, Withanage KPK, Peralta JE, Jackson KA. Analytic atomic gradients in the fermi-löwdin orbital self-interaction correction. J Comput Chem 2018; 40:820-825. [DOI: 10.1002/jcc.25767] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2018] [Revised: 10/18/2018] [Accepted: 11/23/2018] [Indexed: 11/08/2022]
Affiliation(s)
- Kai Trepte
- Department of Physics; Central Michigan University; Mount Pleasant Michigan, 48859
| | - Sebastian Schwalbe
- TU Freiberg, Institute of Theoretical Physics; Leipziger Street 23, D-09599, Freiberg Germany
| | - Torsten Hahn
- TU Freiberg, Institute of Theoretical Physics; Leipziger Street 23, D-09599, Freiberg Germany
| | - Jens Kortus
- TU Freiberg, Institute of Theoretical Physics; Leipziger Street 23, D-09599, Freiberg Germany
| | - Der-You Kao
- NASA Postdoctoral Program Fellow; NASA Goddard Space Flight Center; Greenbelt Maryland, 20771
| | - Yoh Yamamoto
- Department of Physics; The University of Texas at El Paso; El Paso Texas, 79968
| | - Tunna Baruah
- Department of Physics; The University of Texas at El Paso; El Paso Texas, 79968
| | - Rajendra R. Zope
- Department of Physics; The University of Texas at El Paso; El Paso Texas, 79968
| | - Kushantha P. K. Withanage
- Department of Physics, Science of Advanced Materials Program; Central Michigan University; Mount Pleasant Michigan, 48859
| | - Juan E. Peralta
- Department of Physics, Science of Advanced Materials Program; Central Michigan University; Mount Pleasant Michigan, 48859
| | - Koblar A. Jackson
- Department of Physics, Science of Advanced Materials Program; Central Michigan University; Mount Pleasant Michigan, 48859
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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] [What about the content of this article? (0)] [Affiliation(s)] [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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Joshi RP, Trepte K, Withanage KPK, Sharkas K, Yamamoto Y, Basurto L, Zope RR, Baruah T, Jackson KA, Peralta JE. Fermi-Löwdin orbital self-interaction correction to magnetic exchange couplings. J Chem Phys 2018; 149:164101. [PMID: 30384709 DOI: 10.1063/1.5050809] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
We analyze the effect of removing self-interaction error on magnetic exchange couplings using the Fermi-Löwdin orbital self-interaction correction (FLOSIC) method in the framework of density functional theory (DFT). We compare magnetic exchange couplings obtained from self-interaction-free FLOSIC calculations with the local spin density approximation (LSDA) with several widely used DFT realizations and wave function based methods. To this end, we employ the linear H-He-H model system, six organic radical molecules, and [Cu2Cl6]2- as representatives of different types of magnetic interactions. We show that the simple self-interaction-free version of LSDA improves calculated couplings with respect to LSDA in all cases, even though the nature of the exchange interaction varies across the test set, and in most cases, it yields results comparable to modern hybrids and range-separated approximate functionals.
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Affiliation(s)
- Rajendra P Joshi
- Department of Physics, Science of Advanced Materials, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - Kai Trepte
- Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - Kushantha P K Withanage
- Department of Physics, Science of Advanced Materials, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - Kamal Sharkas
- Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - Yoh Yamamoto
- Department of Physics, University of Texas El Paso, El Paso, Texas 79968, USA
| | - Luis Basurto
- Department of Physics, University of Texas El Paso, El Paso, Texas 79968, USA
| | - Rajendra R Zope
- Department of Physics, University of Texas El Paso, El Paso, Texas 79968, USA
| | - Tunna Baruah
- Department of Physics, University of Texas El Paso, El Paso, Texas 79968, USA
| | - Koblar A Jackson
- Department of Physics, Science of Advanced Materials, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - Juan E Peralta
- Department of Physics, Science of Advanced Materials, Central Michigan University, Mount Pleasant, Michigan 48859, USA
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Withanage KPK, Trepte K, Peralta JE, Baruah T, Zope R, Jackson KA. On the Question of the Total Energy in the Fermi–Löwdin Orbital Self-Interaction Correction Method. J Chem Theory Comput 2018; 14:4122-4128. [DOI: 10.1021/acs.jctc.8b00344] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Kushantha P. K. Withanage
- Physics Department and Science of Advanced Materials Ph.D. Program, Central Michigan University, Mount Pleasant, Michigan 48858, United States
| | - Kai Trepte
- Physics Department and Science of Advanced Materials Ph.D. Program, Central Michigan University, Mount Pleasant, Michigan 48858, United States
| | - Juan E. Peralta
- Physics Department and Science of Advanced Materials Ph.D. Program, Central Michigan University, Mount Pleasant, Michigan 48858, United States
| | - Tunna Baruah
- Physics Department, University of Texas-El Paso, El Paso, Texas 79968, United States
| | - Rajendra Zope
- Physics Department, University of Texas-El Paso, El Paso, Texas 79968, United States
| | - Koblar A. Jackson
- Physics Department and Science of Advanced Materials Ph.D. Program, Central Michigan University, Mount Pleasant, Michigan 48858, United States
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