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Jacobs J, Wang HC, Marques MAL, Xu K, Schmedt auf der Günne J, Ebbinghaus SG. Ruddlesden-Popper Oxyfluorides La 2Ni 1-xCu xO 3F 2 (0 ≤ x ≤ 1): Impact of the Ni/Cu Ratio on the Structure. Inorg Chem 2024; 63:6075-6081. [PMID: 38506110 PMCID: PMC10988547 DOI: 10.1021/acs.inorgchem.4c00399] [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: 01/29/2024] [Revised: 03/01/2024] [Accepted: 03/06/2024] [Indexed: 03/21/2024]
Abstract
Ruddlesden-Popper oxyfluorides La2Ni1-xCuxO3F2 (0 ≤ x ≤ 1) were obtained by topochemical reaction of oxide precursors La2Ni1-xCuxO4, prepared by citrate-based soft chemistry synthesis, with polyvinylidene fluoride (PVDF) as the fluorine source. Systematic changes of the crystal structure in the oxide as well as the oxyfluoride substitution series were investigated. For 0.2 ≤ x ≤ 0.9, the oxyfluorides adopt the monoclinic (C2/c) structural distortion previously solved for the x = 0.8 compound based on neutron powder diffraction data, whereas the sample with a lower Cu content of x = 0.1 crystallizes in the orthorhombic (Cccm) structure variant of La2NiO3F2. The orthorhombic-to-monoclinic structural transition was found to be the result of an additional tilt component of the Jahn-Teller elongated CuO4F2 octahedra. The structural transitions were additionally studied by DFT calculations, confirming the monoclinic space group symmetry. The "channel-like" anionic ordering of the endmembers La2NiO3F2 and La2CuO3F2 was checked by 19F MAS NMR experiments and was found to persist throughout the entire substitution series.
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Affiliation(s)
- Jonas Jacobs
- Faculty
of Natural Sciences II, Institute of Chemistry, Inorganic Chemistry, Martin Luther University Halle-Wittenberg, Kurt-Mothes-Straße 2, Halle D-06120, Germany
| | - Hai-Chen Wang
- Research
Center Future Energy Materials and Systems of the University Alliance
Ruhr, Faculty of Mechanical Engineering, Ruhr University Bochum, Universitätsstraße 150, Bochum D-44801, Germany
| | - Miguel A. L. Marques
- Research
Center Future Energy Materials and Systems of the University Alliance
Ruhr, Faculty of Mechanical Engineering, Ruhr University Bochum, Universitätsstraße 150, Bochum D-44801, Germany
| | - Ke Xu
- Faculty
IV:
School of Science and Technology, Department of Chemistry and Biology,
Inorganic Materials Chemistry, University
of Siegen, Adolf-Reichwein-Str. 2, Siegen D-57076, Germany
| | - Jörn Schmedt auf der Günne
- Faculty
IV:
School of Science and Technology, Department of Chemistry and Biology,
Inorganic Materials Chemistry, University
of Siegen, Adolf-Reichwein-Str. 2, Siegen D-57076, Germany
| | - Stefan G. Ebbinghaus
- Faculty
of Natural Sciences II, Institute of Chemistry, Inorganic Chemistry, Martin Luther University Halle-Wittenberg, Kurt-Mothes-Straße 2, Halle D-06120, Germany
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2
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Cerqueira TFT, Sanna A, Marques MAL. Sampling the Materials Space for Conventional Superconducting Compounds. Adv Mater 2024; 36:e2307085. [PMID: 37985412 DOI: 10.1002/adma.202307085] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2023] [Revised: 11/03/2023] [Indexed: 11/22/2023]
Abstract
A large scale study of conventional superconducting materials using a machine-learning accelerated high-throughput workflow is performed, starting by creating a comprehensive dataset of around 7000 electron-phonon calculations performed with reasonable convergence parameters. This dataset is then used to train a robust machine learning model capable of predicting the electron-phonon and superconducting properties based on structural, compositional, and electronic ground-state properties. Using this machine, the transition temperatures (Tc ) of approximately 200 000 metallic compounds are evaluated, all of which are on the convex hull of thermodynamic stability (or close to it) to maximize the probability of synthesizability. Compounds predicted to have Tc values exceeding 5 K are further validated using density-functional perturbation theory. As a result, 541 compounds with Tc values surpassing 10 K, encompassing a variety of crystal structures and chemical compositions, are identified. This work is complemented with a detailed examination of several interesting materials, including nitrides, hydrides, and intermetallic compounds. Particularly noteworthy is LiMoN2 , which is predicted to be superconducting in the stoichiometric trigonal phase, with a Tc exceeding 38 K. LiMoN2 has previously been synthesized in this phase, further heightening its potential for practical applications.
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Affiliation(s)
- Tiago F T Cerqueira
- CFisUC, Department of Physics, University of Coimbra, Rua Larga, Coimbra, 3004-516, Portugal
| | - Antonio Sanna
- Max-Planck-Institut für Mikrostrukturphysik, Weinberg 2, D-06120, Halle, Germany
| | - Miguel A L Marques
- Research Center Future Energy Materials and Systems of the University Alliance Ruhr, Faculty of Mechanical Engineering, Ruhr University Bochum, Universitätsstraße 150, D-44801, Bochum, Germany
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Wang HC, Huran AW, Marques MAL, Nalabothula M, Wirtz L, Romestan Z, Romero AH. Two-Dimensional Noble Metal Chalcogenides in the Frustrated Snub-Square Lattice. J Phys Chem Lett 2023; 14:9969-9977. [PMID: 37905788 DOI: 10.1021/acs.jpclett.3c02131] [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] [Indexed: 11/02/2023]
Abstract
We study two-dimensional noble metal chalcogenides, with compositions {Cu, Ag, Au}2{S, Se, Te}, crystallizing in a snub-square lattice. This is a semiregular two-dimensional tesselation formed by triangles and squares that exhibits geometrical frustration. We use for comparison a square lattice, from which the snub-square tiling can be derived by a simple rotation of the squares. The monolayer snub-square chalcogenides are very close to thermodynamic stability, with the most stable system (Ag2Se) a mere 7 meV/atom above the convex hull of stability. All compounds studied in the square and snub-square lattice are semiconductors, with band gaps ranging from 0.1 to more than 2.5 eV. Excitonic effects are strong, with an exciton binding energy of around 0.3 eV. We propose the Cu (001) surface as a possible substrate to synthesize Cu2Se, although many other metal and semiconducting surfaces can be found with very good lattice matching.
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Affiliation(s)
- Hai-Chen Wang
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Ahmad W Huran
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Miguel A L Marques
- Research Center Future Energy Materials and Systems of the University Alliance Ruhr, Faculty of Mechanical Engineering, Ruhr University Bochum, Universitätsstraße 150, D-44801 Bochum, Germany
| | - Muralidhar Nalabothula
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg
| | - Ludger Wirtz
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg
| | - Zachary Romestan
- Department of Physics, West Virginia University, Morgantown, West Virginia 26506, United States
| | - Aldo H Romero
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg
- Department of Physics, West Virginia University, Morgantown, West Virginia 26506, United States
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4
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Lehtola S, Marques MAL. Reproducibility of density functional approximations: How new functionals should be reported. J Chem Phys 2023; 159:114116. [PMID: 37725491 DOI: 10.1063/5.0167763] [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: 07/14/2023] [Accepted: 08/28/2023] [Indexed: 09/21/2023] Open
Abstract
Density functional theory is the workhorse of chemistry and materials science, and novel density functional approximations are published every year. To become available in program packages, the novel density functional approximations (DFAs) need to be (re)implemented. However, according to our experience as developers of Libxc [Lehtola et al., SoftwareX 7, 1 (2018)], a constant problem in this task is verification due to the lack of reliable reference data. As we discuss in this work, this lack has led to several non-equivalent implementations of functionals such as Becke-Perdew 1986, Perdew-Wang 1991, Perdew-Burke-Ernzerhof, and Becke's three-parameter hybrid functional with Lee-Yang-Parr correlation across various program packages, yielding different total energies. Through careful verification, we have also found many issues with incorrect functional forms in recent DFAs. The goal of this work is to ensure the reproducibility of DFAs. DFAs must be verifiable in order to prevent the reappearance of the above-mentioned errors and incompatibilities. A common framework for verification and testing is, therefore, needed. We suggest several ways in which reference energies can be produced with free and open source software, either with non-self-consistent calculations with tabulated atomic densities or via self-consistent calculations with various program packages. The employed numerical parameters-especially the quadrature grid-need to be converged to guarantee a ≲0.1 μEh precision in the total energy, which is nowadays routinely achievable in fully numerical calculations. Moreover, as such sub-μEh level agreement can only be achieved when fully equivalent implementations of the DFA are used, the source code of the reference implementation should also be made available in any publication describing a new DFA.
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Affiliation(s)
- Susi Lehtola
- Molecular Sciences Software Institute, Blacksburg, Virginia 24061, USA
- Department of Chemistry, University of Helsinki, P.O. Box 55, FI-00014 Helsinki, Finland
| | - Miguel A L Marques
- Research Center Future Energy Materials and Systems of the University Alliance Ruhr, Faculty of Mechanical Engineering, Ruhr University Bochum, Universitätsstraße 150, D-44801 Bochum, Germany
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5
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Schmidt J, Hoffmann N, Wang HC, Borlido P, Carriço PJMA, Cerqueira TFT, Botti S, Marques MAL. Machine-Learning-Assisted Determination of the Global Zero-Temperature Phase Diagram of Materials. Adv Mater 2023; 35:e2210788. [PMID: 36949007 DOI: 10.1002/adma.202210788] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2022] [Revised: 02/28/2023] [Indexed: 06/02/2023]
Abstract
Crystal-graph attention neural networks have emerged recently as remarkable tools for the prediction of thermodynamic stability. The efficacy of their learning capabilities and their reliability is however subject to the quantity and quality of the data they are fed. Previous networks exhibit strong biases due to the inhomogeneity of the training data. Here a high-quality dataset is engineered to provide a better balance across chemical and crystal-symmetry space. Crystal-graph neural networks trained with this dataset show unprecedented generalization accuracy. Such networks are applied to perform machine-learning-assisted high-throughput searches of stable materials, spanning 1 billion candidates. In this way, the number of vertices of the global T = 0 K phase diagram is increased by 30% and find more than ≈150 000 compounds with a distance to the convex hull of stability of less than 50 meV atom-1 . The discovered materials are then accessed for applications, identifying compounds with extreme values of a few properties, such as superconductivity, superhardness, and giant gap-deformation potentials.
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Affiliation(s)
- Jonathan Schmidt
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099, Halle, Germany
| | - Noah Hoffmann
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099, Halle, Germany
| | - Hai-Chen Wang
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099, Halle, Germany
| | - Pedro Borlido
- CFisUC, Department of Physics, University of Coimbra, Rua Larga, 3004-516, Coimbra, Portugal
| | - Pedro J M A Carriço
- CFisUC, Department of Physics, University of Coimbra, Rua Larga, 3004-516, Coimbra, Portugal
| | - Tiago F T Cerqueira
- CFisUC, Department of Physics, University of Coimbra, Rua Larga, 3004-516, Coimbra, Portugal
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099, Halle, Germany
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6
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Lehtola S, Marques MAL. Many recent density functionals are numerically ill-behaved. J Chem Phys 2022; 157:174114. [DOI: 10.1063/5.0121187] [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] [Indexed: 11/14/2022] Open
Abstract
Most computational studies in chemistry and materials science are based on the use of density functional theory. Although the exact density functional is unknown, several density functional approximations (DFAs) offer a good balance of affordable computational cost and semi-quantitative accuracy for applications. The development of DFAs still continues on many fronts, and several new DFAs aiming for improved accuracy are published every year. However, the numerical behavior of these DFAs is an often overlooked problem. In this work, we look at all 592 DFAs for three dimensional systems available in Libxc 5.2.2 and examine the convergence of the density functional total energy based on tabulated atomic Hartree-Fock wave functions. We show that several recent DFAs, including the celebrated SCAN family of functionals, show impractically slow convergence with typically used numerical quadrature schemes, making these functionals unsuitable both for routine applications or high-precision studies, as thousands of radial quadrature points may be required to achieve sub-μEh accurate total energies for these functionals, while standard quadrature grids like the SG-3 grid only contain O(100) radial quadrature points. These results are both a warning to users to always check the sufficiency of the quadrature grid when adopting novel functionals, as well as a guideline to the theory community to develop better behaved density functionals.
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Affiliation(s)
- Susi Lehtola
- Molecular Sciences Software Institute, Virginia Polytechnic Institute and State University, United States of America
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7
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Ghosh A, Jana S, Rauch T, Tran F, Marques MAL, Botti S, Constantin L, Niranjan MK, Samal P. Efficient and improved prediction of the band offsets at semiconductorheterojunctions from meta-GGA density functionals: a benchmark study. J Chem Phys 2022; 157:124108. [DOI: 10.1063/5.0111693] [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] [Indexed: 11/15/2022] Open
Abstract
Accurate theoretical prediction of the band offsets at interfaces of semiconductor heterostructures can of-ten be quite challenging. Although density functional theory has been reasonably successful to carry outsuch calculations and efficient and accurate semilocal functionals are desirable to reduce the computational cost. In general, the semilocal functionals based on the generalized gradient approximation (GGA) significantly underestimate the bulk band gaps. This, in turn, results in inaccurate estimates of the band offsets at the heterointerfaces. In this paper, we investigate the performance of several advanced meta-GGA functionals in the computational prediction of band offsets at semiconductor heterojunctions. In particular, we investigate the performance of r 2 SCAN (revised strongly-constrained and appropriately-normed functional), rMGGAC (revised semilocal functional based on cuspless hydrogen model and Pauli kinetic energy density functional), mTASK (modified Aschebrock and Kümmel meta-GGA functional), and LMBJ (local modified Becke-Johnson) exchange-correlation functionals. Our results strongly suggest that these meta-GGA functionals for supercell calculations perform quite well, especially, when compared to computationally more demanding GW calculations. We also present band offsets calculated using ionization potentials and electron affinities, as well as band alignment via the branch point energies. Overall, our study shows that the aforementioned meta-GGA functionals can be used within the DFT framework to estimate the band offsets in semiconductor heterostructures with predictive accuracy.
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Affiliation(s)
| | - Subrata Jana
- Department of Chemistry and Biochemistry, The Ohio State University, United States of America
| | - Tomas Rauch
- Friedrich Schiller Universität Jena Institut für Festkörpertheorie und -optik, Germany
| | - Fabien Tran
- Institute of Materials Chemistry, Vienna University of Technology, Austria
| | | | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich Schiller Universität Jena Institut für Festkörpertheorie und -optik, Germany
| | - Lucian Constantin
- Department of Physics, Istituto di Nanoscienze, Consiglio Nazionale delle Ricerche CNR-NANO, 41125 Modena, Italy, Italy
| | | | - Prasanjit Samal
- School of Physical Sciences, National Institute of Science Education and Research, India
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Schmidt J, Wang HC, Cerqueira TFT, Botti S, Marques MAL. A dataset of 175k stable and metastable materials calculated with the PBEsol and SCAN functionals. Sci Data 2022; 9:64. [PMID: 35236866 PMCID: PMC8891291 DOI: 10.1038/s41597-022-01177-w] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/16/2021] [Accepted: 01/25/2022] [Indexed: 11/09/2022] Open
Abstract
In the past decade we have witnessed the appearance of large databases of calculated material properties. These are most often obtained with the Perdew-Burke-Ernzerhof (PBE) functional of density-functional theory, a well established and reliable technique that is by now the standard in materials science. However, there have been recent theoretical developments that allow for increased accuracy in the calculations. Here, we present a dataset of calculations for 175k crystalline materials obtained with two functionals: geometry optimizations are performed with PBE for solids (PBEsol) that yields consistently better geometries than the PBE functional, and energies are obtained from PBEsol and from SCAN single-point calculations at the PBEsol geometry. Our results provide an accurate overview of the landscape of stable (and nearly stable) materials, and as such can be used for reliable predictions of novel compounds. They can also be used for training machine learning models, or even for the comparison and benchmark of PBE, PBEsol, and SCAN. Measurement(s) | optimized geometry (PBESol) • total energy (PBESol, Scan) • bandgap (PBESol, Scan) | Technology Type(s) | Density functional theory (VASP) | Factor Type(s) | Exchange correlation functional • Crystal structure |
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Affiliation(s)
- Jonathan Schmidt
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120, Halle (Saale), Germany
| | - Hai-Chen Wang
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120, Halle (Saale), Germany
| | - Tiago F T Cerqueira
- CFisUC, Department of Physics, University of Coimbra, Rua Larga, 3004-516, Coimbra, Portugal
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik and European Theoretical Spectroscopy Facility, Friedrich-Schiller-Universität Jena, D-07743, Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120, Halle (Saale), Germany.
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9
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Gedeon J, Schmidt J, Hodgson MJP, Wetherell J, Benavides-Riveros CL, Marques MAL. Machine learning the derivative discontinuity of density-functional theory. Mach Learn : Sci Technol 2022. [DOI: 10.1088/2632-2153/ac3149] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
Abstract
Machine learning is a powerful tool to design accurate, highly non-local, exchange-correlation functionals for density functional theory. So far, most of those machine learned functionals are trained for systems with an integer number of particles. As such, they are unable to reproduce some crucial and fundamental aspects, such as the explicit dependency of the functionals on the particle number or the infamous derivative discontinuity at integer particle numbers. Here we propose a solution to these problems by training a neural network as the universal functional of density-functional theory that (a) depends explicitly on the number of particles with a piece-wise linearity between the integer numbers and (b) reproduces the derivative discontinuity of the exchange-correlation energy. This is achieved by using an ensemble formalism, a training set containing fractional densities, and an explicitly discontinuous formulation.
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Schmidt J, Pettersson L, Verdozzi C, Botti S, Marques MAL. Crystal graph attention networks for the prediction of stable materials. Sci Adv 2021; 7:eabi7948. [PMID: 34860548 PMCID: PMC8641929 DOI: 10.1126/sciadv.abi7948] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/31/2021] [Accepted: 10/14/2021] [Indexed: 05/27/2023]
Abstract
Graph neural networks for crystal structures typically use the atomic positions and the atomic species as input. Unfortunately, this information is not available when predicting new materials, for which the precise geometrical information is unknown. We circumvent this problem by replacing the precise bond distances with embeddings of graph distances. This allows our networks to be applied directly in high-throughput studies based on both composition and crystal structure prototype without using relaxed structures as input. To train these networks, we curate a dataset of over 2 million density functional calculations of crystals with consistent calculation parameters. We apply the resulting model to the high-throughput search of 15 million tetragonal perovskites of composition ABCD2. As a result, we identify several thousand potentially stable compounds and demonstrate that transfer learning from the newly curated dataset reduces the required training data by 50%.
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Affiliation(s)
- Jonathan Schmidt
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
| | - Love Pettersson
- Department of Physics, Lund University Box 118, 221 00 Lund, Sweden
| | - Claudio Verdozzi
- Department of Physics, Lund University Box 118, 221 00 Lund, Sweden
| | - Silvana Botti
- Institut für Festkörpertheorie und Optik and European Theoretical Spectroscopy Facility, Friedrich-Schiller-Universität Jena, D-07743 Jena, Germany
| | - Miguel A. L. Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
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Tran F, Doumont J, Kalantari L, Blaha P, Rauch T, Borlido P, Botti S, Marques MAL, Patra A, Jana S, Samal P. Bandgap of two-dimensional materials: Thorough assessment of modern exchange-correlation functionals. J Chem Phys 2021; 155:104103. [PMID: 34525814 DOI: 10.1063/5.0059036] [Citation(s) in RCA: 9] [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: 11/14/2022] Open
Abstract
The density-functional theory (DFT) approximations that are the most accurate for the calculation of bandgap of bulk materials are hybrid functionals, such as HSE06, the modified Becke-Johnson (MBJ) potential, and the GLLB-SC potential. More recently, generalized gradient approximations (GGAs), such as HLE16, or meta-GGAs, such as (m)TASK, have also proven to be quite accurate for the bandgap. Here, the focus is on two-dimensional (2D) materials and the goal is to provide a broad overview of the performance of DFT functionals by considering a large test set of 298 2D systems. The present work is an extension of our recent studies [T. Rauch, M. A. L. Marques, and S. Botti, Phys. Rev. B 101, 245163 (2020); Patra et al., J. Phys. Chem. C 125, 11206 (2021)]. Due to the lack of experimental results for the bandgap of 2D systems, G0W0 results were taken as reference. It is shown that the GLLB-SC potential and mTASK functional provide the bandgaps that are the closest to G0W0. Following closely, the local MBJ potential has a pretty good accuracy that is similar to the accuracy of the more expensive hybrid functional HSE06.
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Affiliation(s)
- Fabien Tran
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Jan Doumont
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Leila Kalantari
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Peter Blaha
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Tomáš Rauch
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Pedro Borlido
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Abhilash Patra
- School of Physical Sciences, National Institute of Science Education and Research, HBNI, Bhubaneswar 752050, India
| | - Subrata Jana
- School of Physical Sciences, National Institute of Science Education and Research, HBNI, Bhubaneswar 752050, India
| | - Prasanjit Samal
- School of Physical Sciences, National Institute of Science Education and Research, HBNI, Bhubaneswar 752050, India
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12
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Jacobs J, Marques MAL, Wang HC, Dieterich E, Ebbinghaus SG. Structure, Magnetism, and Thermal Stability of La 2NiO 2.5F 3: A Ruddlesden-Popper Oxyfluoride Crystallizing in Space Group P4 2/ nnm. Inorg Chem 2021; 60:13646-13657. [PMID: 34492764 DOI: 10.1021/acs.inorgchem.1c01957] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We report on the new Ruddlesden-Popper (RP) oxyfluoride La2NiO2.5F3 containing an unprecedented high amount of fluorine and Ni2+. This oxyfluoride was prepared by topochemical low-temperature fluorination of La2NiO4, which was obtained by a soft chemistry synthesis, with poly(vinylidene difluoride) (PVDF) as fluorinating agent. La2NiO2.5F3 is the first n = 1 RP compound crystallizing in the tetragonal space group P42/nnm (a = 5.7297(6) Å and c = 13.0106(2) Å). The crystal structure shows a unique tilting scheme of the NiO4F2 octahedra that has so far been only theoretically predicted. Combined neutron and X-ray powder diffraction experiments together with bond-valence-sum and DFT+U calculations reveal an unusual anion ordering with fluoride being located on the apical anion sites of the NiO4F2 octahedra. Excess fluorine ions were found to populate two of the four interstitial anion sites in an ordered fashion. A third interstitial anion position is occupied by oxygen ions while the fourth site remains unoccupied. This hitherto unobserved ordering scenario in RP oxyfluorides promotes a strong layerwise alternating tilting of the NiO4F2 octahedra. Magnetic measurements show strong antiferromagnetic interactions with a high Néel temperature of about 225 K and a pronounced ZFC/FC splitting most likely as the result of a small ferromagnetic moment arising from spin canting. The electronic structure was characterized by DFT and UV-vis spectroscopy, and a strong increase of Eg was found compared to La2NiO4 (3.4 eV vs 1.3 eV).
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Affiliation(s)
- Jonas Jacobs
- Institut für Chemie, Festkörperchemie, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle, Germany
| | - Hai-Chen Wang
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle, Germany
| | - Emil Dieterich
- Institut für Chemie, Technische Chemie I, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle, Germany
| | - Stefan G Ebbinghaus
- Institut für Chemie, Festkörperchemie, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle, Germany
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13
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Borlido P, Marques MAL, Botti S. Bishop's hat silicene: a planar square silicon bilayer decorated with adatoms. Phys Chem Chem Phys 2021; 23:16942-16947. [PMID: 34338249 DOI: 10.1039/d1cp01316e] [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] [Indexed: 11/21/2022]
Abstract
We investigate a family of free-standing quasi-two-dimensional silicon structures based on a planar square bilayer with adatom decorations. When attached to the bilayer, these adatoms form local reconstructions which resemble either a bishop's hat or elongated square bipyramids. We systematically constructed members of this family via exhaustive enumeration and then studied them using tight-binding and density-functional theory. We find that this geometry contributes significantly to the stability of the resulting structures, with some squared bilayers energetically more stable than the honeycomb bilayers. The most interesting phases were then characterized in more detail, and they all turned out metallic. Finally, we propose the [100] surface of ZrO2 as the most suitable substrate for the synthesis of these two-dimensional phases.
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Affiliation(s)
- Pedro Borlido
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany.
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14
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Rauch T, Marques MAL, Botti S. Electronic Structure of Molecules, Surfaces, and Molecules on Surfaces with the Local Modified Becke-Johnson Exchange-Correlation Potential. J Chem Theory Comput 2021; 17:4746-4755. [PMID: 34242509 DOI: 10.1021/acs.jctc.1c00255] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The knowledge of electronic properties of matter is the key to the understanding of its properties and to propose useful applications. To model hybrid organic/inorganic systems with the plane-wave approach, large supercells with many atoms are usually necessary to minimize artificial interactions between periodic images. For such systems, accurate approximations to the exchange-correlation functional of density functional theory, such as hybrid functionals, become computationally expensive, and cheaper approaches need to be considered. Here, we apply the local modified Becke-Johnson exchange-correlation potential to free molecules and surfaces and study its accuracy for calculated ionization potentials. This quantity being important to understand the band alignment of composite heterogeneous systems, we demonstrate the application of the potential to the electronic structure calculation of an exemplary composite semiconductor/molecule system, namely, a F6-TCNNQ molecule adsorbed on a hydrogenated Si(111) surface.
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Affiliation(s)
- Tomáš Rauch
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle/Saale, Germany.,European Theoretical Spectroscopy Facility, https://www.etsf.eu
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.,European Theoretical Spectroscopy Facility, https://www.etsf.eu
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15
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Huran AW, Wang HC, San-Miguel A, Marques MAL. Atomically Thin Pythagorean Tilings in Two Dimensions. J Phys Chem Lett 2021; 12:4972-4979. [PMID: 34014100 DOI: 10.1021/acs.jpclett.1c00903] [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] [Indexed: 06/12/2023]
Abstract
We perform a theoretical study of an atomically thin, two-dimensional layer obtained by positioning atoms at the vertices of the classical Pythagorean tiling. This leads to an unusual geometrical pattern that is only stable for the three halogens Cl, Br, and I. In this Pythagorean structure, halogen atoms are arranged in strongly bound diatomic units that bind together by weaker electrostatic bonds. The energy of these phases is competitive with those of the low-temperature phase of the halogens and the two-dimensional layer obtained by exfoliating it. The Pythagorean layers are semiconducting, with an unusual band structure composed of very mobile holes and extremely heavy electrons. They are also soft, exhibiting small values of the elastic constants and a very low energy flexural mode. Analysis of the allowed Raman transitions reveals breathing-like modes that might be used to fingerprint, experimentally, the Pythagorean structure. Finally, we present a series of substrates that, due to lattice matching and compatible symmetry, can be used to stabilize these peculiar two-dimensional layers.
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Affiliation(s)
- Ahmad W Huran
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
| | - Hai-Chen Wang
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
| | - Alfonso San-Miguel
- Institut Lumière Matière, Univ. Lyon, Université Claude Bernard Lyon 1, CNRS, F-69622 Lyon, France
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
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16
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Jara C, Rauch T, Botti S, Marques MAL, Norambuena A, Coto R, Castellanos-Águila JE, Maze JR, Munoz F. First-Principles Identification of Single Photon Emitters Based on Carbon Clusters in Hexagonal Boron Nitride. J Phys Chem A 2021; 125:1325-1335. [PMID: 33554602 DOI: 10.1021/acs.jpca.0c07339] [Citation(s) in RCA: 25] [Impact Index Per Article: 8.3] [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
A recent study associates carbon with single photon emitters (SPEs) in hexagonal boron nitride (h-BN). This observation, together with the high mobility of carbon in h-BN, suggests the existence of SPEs based on carbon clusters. Here, by means of density functional theory calculations, we studied clusters of substitutional carbon atoms up to tetramers in h-BN. Two different conformations of neutral carbon trimers have zero-point line energies and shifts of the phonon sideband compatible with typical photoluminescence spectra. Moreover, some conformations of two small C clusters next to each other result in photoluminescence spectra similar to those found in the experiments. We also showed that vacancies are unable to reproduce the typical features of the phonon sideband observed in most measurements because of the large spectral weight of low-energy breathing modes, ubiquitous in such defects.
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Affiliation(s)
- Cesar Jara
- LAAS-CNRS, Université de Toulouse, CNRS, 31031 Toulouse, France
| | - Tomáš Rauch
- Institut für Festkörpertheorie und -Optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.,European Theoretical Spectroscopy Facility
| | - Silvana Botti
- Institut für Festkörpertheorie und -Optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.,European Theoretical Spectroscopy Facility
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle/Saale, Germany
| | - Ariel Norambuena
- Centro de Investigación DAiTA Lab, Facultad de Estudios Interdisciplinarios, Universidad Mayor, 7550000 Santiago, Chile
| | - Raul Coto
- Centro de Investigación DAiTA Lab, Facultad de Estudios Interdisciplinarios, Universidad Mayor, 7550000 Santiago, Chile
| | - J E Castellanos-Águila
- Departamento de Estudios Multidisciplinarios, Universidad de Guanajuato, Av. Yacatitas, S/N Col. Yacatitas, Yuriria, Guanajuato 36940, Mexico
| | - Jeronimo R Maze
- Institute of Physics, Pontificia Universidad Católica de Chile, 7820436 Santiago, Chile.,Research Center for Nanoscale and Advanced Materials (CIEN), Pontificia Universidad Católica de Chile, 7820436 Santiago, Chile
| | - Francisco Munoz
- Center for the Development of Nanoscience and Nanotechnology, CEDENNA, 9170124 Santiago, Chile.,Departamento de Física, Facultad de Ciencias, Universidad de Chile, 7800024 Santiago Chile
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17
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Shi J, Fonda E, Botti S, Marques MAL, Shinmei T, Irifune T, Flank AM, Lagarde P, Polian A, Itié JP, San-Miguel A. Halogen molecular modifications at high pressure: the case of iodine. Phys Chem Chem Phys 2021; 23:3321-3326. [PMID: 33507189 DOI: 10.1039/d0cp05942k] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Metallization and dissociation are key transformations in diatomic molecules at high densities particularly significant for modeling giant planets. Using X-ray absorption spectroscopy and atomistic modeling, we demonstrate that in halogens, the formation of a connected molecular structure takes place at pressures well below metallization. Here we show that the iodine diatomic molecule first elongates by ∼0.007 Å up to a critical pressure of Pc ∼ 7 GPa, developing bonds between molecules. Then its length continuously decreases with pressure up to 15-20 GPa. Universal trends in halogens are shown and allow us to predict for chlorine a pressure of 42 ± 8 GPa for molecular bond-length reversal. Our findings contribute to tackling the molecule invariability paradigm in diatomic molecular phases at high pressures and may be generalized to other abundant diatomic molecules in the universe, including hydrogen.
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Affiliation(s)
- Jingming Shi
- Univ. Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Lyon, France. and School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China
| | - Emiliano Fonda
- Synchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin, BP48, 91192 Gif-sur-Yvette Cedex, France
| | - Silvana Botti
- Institut für Festkörpertheorie und -Optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany and European Theoretical Spectroscopy Facility
| | - Miguel A L Marques
- European Theoretical Spectroscopy Facility, and Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Toru Shinmei
- Geodynamics Research Center, Ehime University, Matsuyama, Ehime 790-8577, Japan
| | - Tetsuo Irifune
- Geodynamics Research Center, Ehime University, Matsuyama, Ehime 790-8577, Japan and Earth-Life Science Institute, Tokyo Institute of Technology, Tokyo 152-8550, Japan
| | - Anne-Marie Flank
- Synchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin, BP48, 91192 Gif-sur-Yvette Cedex, France
| | - Pierre Lagarde
- Synchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin, BP48, 91192 Gif-sur-Yvette Cedex, France
| | - Alain Polian
- Synchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin, BP48, 91192 Gif-sur-Yvette Cedex, France and IMPMC-CNRS UMR 7590, Sorbonne Université, B115, 4 Place Jussieu, F-75252 Paris Cedex 05, France
| | - Jean-Paul Itié
- Synchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin, BP48, 91192 Gif-sur-Yvette Cedex, France
| | - Alfonso San-Miguel
- Univ. Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Lyon, France.
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18
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Lehtola S, Marques MAL. Meta-Local Density Functionals: A New Rung on Jacob's Ladder. J Chem Theory Comput 2021; 17:943-948. [PMID: 33502183 PMCID: PMC8023657 DOI: 10.1021/acs.jctc.0c01147] [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] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The homogeneous electron gas (HEG) is a key ingredient in the construction of most exchange-correlation functionals of density-functional theory. Often, the energy of the HEG is parameterized as a function of its spin density nσ, leading to the local density approximation (LDA) for inhomogeneous systems. However, the connection between the electron density and kinetic energy density of the HEG can be used to generalize the LDA by evaluating it on a geometric average nσavg(r) = nσ1-x(r)ñσx(r) of the local spin density nσ(r) and the spin density ñσ(r) of a HEG that has the local kinetic energy density τσ(r) of the inhomogeneous system. This leads to a new family of functionals that we term meta-local density approximations (meta-LDAs), which are still exact for the HEG, which are derived only from properties of the HEG and which form a new rung of Jacob's ladder of density functionals [ AIP Conf. Proc. 2001, 577, 1]. The first functional of this ladder, the local τ approximation (LTA) of Ernzerhof and Scuseria [ J. Chem. Phys. 1999, 111, 911] that corresponds to x = 1 is unfortunately not stable enough to be used in self-consistent field calculations because it leads to divergent potentials, as we show in this work. However, a geometric averaging of the LDA and LTA densities with smaller values of x not only leads to numerical stability of the resulting functional but also yields more accurate exchange energies in atomic calculations than the LDA, the LTA, or the tLDA functional (x = 1/4) of Eich and Hellgren [ J. Chem. Phys. 2014, 141, 224107]. We choose x = 0.50, as it gives the best total energy in self-consistent exchange-only calculations for the argon atom. Atomization energy benchmarks confirm that the choice x = 0.50 also yields improved energetics in combination with correlation functionals in molecules, almost eliminating the well-known overbinding of the LDA and reducing its error by two thirds.
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Affiliation(s)
- Susi Lehtola
- Department of Chemistry, University of Helsinki, P.O. Box 55 (A.I. Virtasen aukio 1), FI-00014 University of Helsinki, Finland
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle, Saale, Germany
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19
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Sun L, Marques MAL, Botti S. Direct insight into the structure-property relation of interfaces from constrained crystal structure prediction. Nat Commun 2021; 12:811. [PMID: 33547276 PMCID: PMC7864966 DOI: 10.1038/s41467-020-20855-0] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2019] [Accepted: 12/22/2020] [Indexed: 01/30/2023] Open
Abstract
A major issue that prevents a full understanding of heterogeneous materials is the lack of systematic first-principles methods to consistently predict energetics and electronic properties of reconstructed interfaces. In this work we address this problem with an efficient and accurate computational scheme. We extend the minima-hopping method implementing constraints crafted for two-dimensional atomic relaxation and enabling variations of the atomic density close to the interface. A combination of density-functional and accurate density-functional tight-binding calculations supply energy and forces to structure prediction. We demonstrate the power of this method by applying it to extract structure-property relations for a large and varied family of symmetric and asymmetric tilt boundaries in polycrystalline silicon. We find a rich polymorphism in the interface reconstructions, with recurring bonding patterns that we classify in increasing energetic order. Finally, a clear relation between bonding patterns and electrically active grain boundary states is unveiled and discussed.
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Affiliation(s)
- Lin Sun
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena, Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
- European Theoretical Spectroscopy Facility
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena, Jena, Germany.
- European Theoretical Spectroscopy Facility, .
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20
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Oliveira MJT, Papior N, Pouillon Y, Blum V, Artacho E, Caliste D, Corsetti F, de Gironcoli S, Elena AM, García A, García-Suárez VM, Genovese L, Huhn WP, Huhs G, Kokott S, Küçükbenli E, Larsen AH, Lazzaro A, Lebedeva IV, Li Y, López-Durán D, López-Tarifa P, Lüders M, Marques MAL, Minar J, Mohr S, Mostofi AA, O'Cais A, Payne MC, Ruh T, Smith DGA, Soler JM, Strubbe DA, Tancogne-Dejean N, Tildesley D, Torrent M, Yu VWZ. The CECAM electronic structure library and the modular software development paradigm. J Chem Phys 2020; 153:024117. [PMID: 32668924 DOI: 10.1063/5.0012901] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
Abstract
First-principles electronic structure calculations are now accessible to a very large community of users across many disciplines, thanks to many successful software packages, some of which are described in this special issue. The traditional coding paradigm for such packages is monolithic, i.e., regardless of how modular its internal structure may be, the code is built independently from others, essentially from the compiler up, possibly with the exception of linear-algebra and message-passing libraries. This model has endured and been quite successful for decades. The successful evolution of the electronic structure methodology itself, however, has resulted in an increasing complexity and an ever longer list of features expected within all software packages, which implies a growing amount of replication between different packages, not only in the initial coding but, more importantly, every time a code needs to be re-engineered to adapt to the evolution of computer hardware architecture. The Electronic Structure Library (ESL) was initiated by CECAM (the European Centre for Atomic and Molecular Calculations) to catalyze a paradigm shift away from the monolithic model and promote modularization, with the ambition to extract common tasks from electronic structure codes and redesign them as open-source libraries available to everybody. Such libraries include "heavy-duty" ones that have the potential for a high degree of parallelization and adaptation to novel hardware within them, thereby separating the sophisticated computer science aspects of performance optimization and re-engineering from the computational science done by, e.g., physicists and chemists when implementing new ideas. We envisage that this modular paradigm will improve overall coding efficiency and enable specialists (whether they be computer scientists or computational scientists) to use their skills more effectively and will lead to a more dynamic evolution of software in the community as well as lower barriers to entry for new developers. The model comes with new challenges, though. The building and compilation of a code based on many interdependent libraries (and their versions) is a much more complex task than that of a code delivered in a single self-contained package. Here, we describe the state of the ESL, the different libraries it now contains, the short- and mid-term plans for further libraries, and the way the new challenges are faced. The ESL is a community initiative into which several pre-existing codes and their developers have contributed with their software and efforts, from which several codes are already benefiting, and which remains open to the community.
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Affiliation(s)
- Micael J T Oliveira
- Max Planck Institute for the Structure and Dynamics of Matter, D-22761 Hamburg, Germany
| | - Nick Papior
- DTU Computing Center, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark
| | - Yann Pouillon
- Departamento CITIMAC, Universidad de Cantabria, Santander, Spain
| | - Volker Blum
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | | | - Damien Caliste
- Department of Physics, IRIG, Univ. Grenoble Alpes and CEA, F-38000 Grenoble, France
| | - Fabiano Corsetti
- Departments of Materials and Physics, and the Thomas Young Centre for Theory and Simulation of Materials, Imperial College London, London SW7 2AZ, United Kingdom
| | | | - Alin M Elena
- Scientific Computing Department, Daresbury Laboratory, Warrington WA4 4AD, United Kingdom
| | - Alberto García
- Institut de Ciència de Materials de Barcelona (ICMAB-CSIC), Bellaterra E-08193, Spain
| | | | - Luigi Genovese
- Department of Physics, IRIG, Univ. Grenoble Alpes and CEA, F-38000 Grenoble, France
| | - William P Huhn
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - Georg Huhs
- Barcelona Supercomputing Center (BSC), 08034 Barcelona, Spain
| | | | - Emine Küçükbenli
- Scuola Internazionale Superiore di Studi Avanzati, 34136 Trieste, Italy
| | | | - Alfio Lazzaro
- Department of Chemistry, University of Zürich, CH-8057 Zürich, Switzerland
| | | | - Yingzhou Li
- Department of Mathematics, Duke University, Durham, North Carolina 27708-0320, USA
| | | | - Pablo López-Tarifa
- Centro de Física de Materiales, Centro Mixto CSIC-UPV/EHU, 20018 San Sebastián, Spain
| | - Martin Lüders
- Max Planck Institute for the Structure and Dynamics of Matter, D-22761 Hamburg, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
| | - Jan Minar
- New Technologies Research Centre, University of West Bohemia, 301 00 Plzen, Czech Republic
| | - Stephan Mohr
- Barcelona Supercomputing Center (BSC), 08034 Barcelona, Spain
| | - Arash A Mostofi
- Departments of Materials and Physics, and the Thomas Young Centre for Theory and Simulation of Materials, Imperial College London, London SW7 2AZ, United Kingdom
| | - Alan O'Cais
- Institute for Advanced Simulation (IAS), Jülich Supercomputing Centre (JSC), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Mike C Payne
- Theory of Condensed Matter, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom
| | - Thomas Ruh
- Institute of Materials Chemistry, TU Wien, 1060 Vienna, Austria
| | - Daniel G A Smith
- Molecular Sciences Software Institute, Blacksburg, Virginia 24060, USA
| | - José M Soler
- Departamento e Instituto de Física de la Materia Condensada (IFIMAC), Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - David A Strubbe
- Department of Physics, University of California, Merced, California 95343, USA
| | | | - Dominic Tildesley
- School of Chemistry, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | | | - Victor Wen-Zhe Yu
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
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Borlido P, Doumont J, Tran F, Marques MAL, Botti S. Validation of Pseudopotential Calculations for the Electronic Band Gap of Solids. J Chem Theory Comput 2020; 16:3620-3627. [PMID: 32407117 PMCID: PMC7288669 DOI: 10.1021/acs.jctc.0c00214] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/05/2020] [Indexed: 11/29/2022]
Abstract
Nowadays pseudopotential (PP) density functional theory calculations constitute the standard approach to tackle solid-state electronic problems. These rely on distributed PP tables that were built from all-electron atomic calculations using few popular semilocal exchange-correlation functionals, while PPs based on more modern functionals, such as meta-generalized gradient approximation and hybrid functionals, or for many-body methods, such as GW, are often not available. Because of this, employing PPs created with inconsistent exchange-correlation functionals has become a common practice. Our aim is to quantify systematically the error in the determination of the electronic band gap when cross-functional PP calculations are performed. To this end, we compare band gaps obtained with norm-conserving PPs or the projector-augmented wave method with all-electron calculations for a large data set of 473 solids. We focus, in particular, on density functionals that were designed specifically for band gap calculations. On average, the absolute error is about 0.1 eV, yielding absolute relative errors in the 5-10% range. Considering that typical errors stemming from the choice of the functional are usually larger, we conclude that the effect of choosing an inconsistent PP is rather harmless for most applications. However, we find specific cases where absolute errors can be larger than 1 eV or others where relative errors can amount to a large fraction of the band gap.
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Affiliation(s)
- Pedro Borlido
- Institut
für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical
Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Jan Doumont
- Institute
of Materials Chemistry, Vienna University
of Technology, Getreidemarkt
9/165-TC, A-1060 Vienna, Austria
| | - Fabien Tran
- Institute
of Materials Chemistry, Vienna University
of Technology, Getreidemarkt
9/165-TC, A-1060 Vienna, Austria
| | - Miguel A. L. Marques
- Institut
für Physik, Martin-Luther-Universität
Halle-Wittenberg, D-06099 Halle, Germany
| | - Silvana Botti
- Institut
für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical
Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
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22
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Benavides-Riveros CL, Wolff J, Marques MAL, Schilling C. Reduced Density Matrix Functional Theory for Bosons. Phys Rev Lett 2020; 124:180603. [PMID: 32441966 DOI: 10.1103/physrevlett.124.180603] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/16/2020] [Accepted: 04/21/2020] [Indexed: 06/11/2023]
Abstract
Based on a generalization of Hohenberg-Kohn's theorem, we propose a ground state theory for bosonic quantum systems. Since it involves the one-particle reduced density matrix γ as a variable but still recovers quantum correlations in an exact way it is particularly well suited for the accurate description of Bose-Einstein condensates. As a proof of principle we study the building block of optical lattices. The solution of the underlying v-representability problem is found and its peculiar form identifies the constrained search formalism as the ideal starting point for constructing accurate functional approximations: The exact functionals F[γ] for this N-boson Hubbard dimer and general Bogoliubov-approximated systems are determined. For Bose-Einstein condensates with N_{BEC}≈N condensed bosons, the respective gradient forces are found to diverge, ∇_{γ}F∝1/sqrt[1-N_{BEC}/N], providing a comprehensive explanation for the absence of complete condensation in nature.
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Affiliation(s)
- Carlos L Benavides-Riveros
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
- NR-ISM, Division of Ultrafast Processes in Materials (FLASHit), Area della Ricerca di Roma 1, Via Salaria Km 29.3, I-00016 Monterotondo Scalo, Italy
| | - Jakob Wolff
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
| | - Christian Schilling
- Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333 München, Germany
- Wolfson College, University of Oxford, Linton Rd, Oxford OX2 6UD, United Kingdom
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Tancogne-Dejean N, Oliveira MJT, Andrade X, Appel H, Borca CH, Le Breton G, Buchholz F, Castro A, Corni S, Correa AA, De Giovannini U, Delgado A, Eich FG, Flick J, Gil G, Gomez A, Helbig N, Hübener H, Jestädt R, Jornet-Somoza J, Larsen AH, Lebedeva IV, Lüders M, Marques MAL, Ohlmann ST, Pipolo S, Rampp M, Rozzi CA, Strubbe DA, Sato SA, Schäfer C, Theophilou I, Welden A, Rubio A. Octopus, a computational framework for exploring light-driven phenomena and quantum dynamics in extended and finite systems. J Chem Phys 2020; 152:124119. [PMID: 32241132 DOI: 10.1063/1.5142502] [Citation(s) in RCA: 106] [Impact Index Per Article: 26.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Over the last few years, extraordinary advances in experimental and theoretical tools have allowed us to monitor and control matter at short time and atomic scales with a high degree of precision. An appealing and challenging route toward engineering materials with tailored properties is to find ways to design or selectively manipulate materials, especially at the quantum level. To this end, having a state-of-the-art ab initio computer simulation tool that enables a reliable and accurate simulation of light-induced changes in the physical and chemical properties of complex systems is of utmost importance. The first principles real-space-based Octopus project was born with that idea in mind, i.e., to provide a unique framework that allows us to describe non-equilibrium phenomena in molecular complexes, low dimensional materials, and extended systems by accounting for electronic, ionic, and photon quantum mechanical effects within a generalized time-dependent density functional theory. This article aims to present the new features that have been implemented over the last few years, including technical developments related to performance and massive parallelism. We also describe the major theoretical developments to address ultrafast light-driven processes, such as the new theoretical framework of quantum electrodynamics density-functional formalism for the description of novel light-matter hybrid states. Those advances, and others being released soon as part of the Octopus package, will allow the scientific community to simulate and characterize spatial and time-resolved spectroscopies, ultrafast phenomena in molecules and materials, and new emergent states of matter (quantum electrodynamical-materials).
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Affiliation(s)
- Nicolas Tancogne-Dejean
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Micael J T Oliveira
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Xavier Andrade
- Quantum Simulations Group, Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - Heiko Appel
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Carlos H Borca
- Quantum Simulations Group, Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - Guillaume Le Breton
- Département de Physique, École Normale Supérieure de Lyon, 46 Allée d'Italie, Lyon Cedex 07, France
| | - Florian Buchholz
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Alberto Castro
- Institute for Biocomputation and Physics of Complex Systems, University of Zaragoza, Calle Mariano Esquillor, 50018 Zaragoza, Spain
| | - Stefano Corni
- Dipartimento di Scienze Chimiche, Università degli studi di Padova, via F. Marzolo 1, 35131 Padova, Italy
| | - Alfredo A Correa
- Quantum Simulations Group, Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - Umberto De Giovannini
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Alain Delgado
- Xanadu, 777 Bay Street, Toronto, Ontario M5G 2C8, Canada
| | - Florian G Eich
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Johannes Flick
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
| | - Gabriel Gil
- Dipartimento di Scienze Chimiche, Università degli studi di Padova, via F. Marzolo 1, 35131 Padova, Italy
| | - Adrián Gomez
- Institute for Biocomputation and Physics of Complex Systems, University of Zaragoza, Calle Mariano Esquillor, 50018 Zaragoza, Spain
| | - Nicole Helbig
- Nanomat/Qmat/CESAM and ETSF, Université de Liège, B-4000 Sart-Tilman, Belgium
| | - Hannes Hübener
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - René Jestädt
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Joaquim Jornet-Somoza
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Ask H Larsen
- Nano-Bio Spectroscopy Group and ETSF, Universidad del País Vasco, 20018 San Sebastián, Spain
| | - Irina V Lebedeva
- Nano-Bio Spectroscopy Group and ETSF, Universidad del País Vasco, 20018 San Sebastián, Spain
| | - Martin Lüders
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
| | - Sebastian T Ohlmann
- Max Planck Computing and Data Facility, Gießenbachstraße 2, 85741 Garching, Germany
| | - Silvio Pipolo
- Université de Lille, CNRS, Centrale Lille, ENSCL, Université d' Artois UMR 8181-UCCS Unité de Catalyse et Chimie du Solide, F-59000 Lille, France
| | - Markus Rampp
- Max Planck Computing and Data Facility, Gießenbachstraße 2, 85741 Garching, Germany
| | - Carlo A Rozzi
- CNR - Istituto Nanoscienze, via Campi 213a, 41125 Modena, Italy
| | - David A Strubbe
- Department of Physics, School of Natural Sciences, University of California, Merced, California 95343, USA
| | - Shunsuke A Sato
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Christian Schäfer
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Iris Theophilou
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Alicia Welden
- Quantum Simulations Group, Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - Angel Rubio
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
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Rauch T, Marques MAL, Botti S. Local Modified Becke-Johnson Exchange-Correlation Potential for Interfaces, Surfaces, and Two-Dimensional Materials. J Chem Theory Comput 2020; 16:2654-2660. [PMID: 32097004 DOI: 10.1021/acs.jctc.9b01147] [Citation(s) in RCA: 23] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The modified Becke-Johnson meta-GGA potential of density functional theory has been shown to be the best exchange-correlation potential to determine band gaps of crystalline solids. However, it cannot be consistently used for the electronic structure of nonperiodic or nanostructured systems. We propose an extension of this potential that enables its use to study heterogeneous, finite, and low-dimensional systems. This is achieved by using a coordinate-dependent expression for the parameter c that weights the Becke-Russel exchange, in contrast to the original global formulation, where c is just a fitted number. Our potential takes advantage of the excellent description of band gaps provided by the modified Becke-Johnson potential and preserves its modest computational effort. Furthermore, it yields with one single calculation band diagrams and band offsets of heterostructures and surfaces. We exemplify the usefulness and efficiency of our local meta-GGA potential by testing it for a series of interfaces (Si/SiO2, AlAs/GaAs, AlP/GaP, and GaP/Si), a Si surface, and boron nitride monolayer.
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Affiliation(s)
- Tomáš Rauch
- Institut für Festkörpertheorie und optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle/Saale, Germany.,European Theoretical Spectroscopy Facility, https://www.etsf.eu/
| | - Silvana Botti
- Institut für Festkörpertheorie und optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.,European Theoretical Spectroscopy Facility, https://www.etsf.eu/
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Borlido P, Huran AW, Marques MAL, Botti S. Novel two-dimensional silicon-carbon binaries by crystal structure prediction. Phys Chem Chem Phys 2020; 22:8442-8449. [PMID: 32271332 DOI: 10.1039/c9cp06942a] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The semimetallic bandstructure of graphene and silicene limit their use in functional devices. Mixing silicon and carbon offers a rather unexplored pathway to build semiconducting sheets compatible with current Si-based electronics. We present here a complete theoretical study of the phase diagram of two-dimensional silicon-carbon binaries. To scan the composition range, we employ an ab initio global structural prediction method, complemented by exhaustive enumeration of two-dimensional structure prototypes. We find a wealth of two-dimensional low-energy structures, from standard honeycomb single- and double-layers, passing by dumbbell geometries, to carbon nanosheets bridged by Si atoms. Many of these phases depart from planarity, either through buckling, or by germinating three-dimensional networks with a mixture of sp2 and sp3 bonds. We further characterize the most interesting crystal structures, unveiling a large variety of electronic properties, that could be exploited to develop high-performance electronic devices at the nanoscale.
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Affiliation(s)
- Pedro Borlido
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany.
| | - Ahmad W Huran
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany.
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26
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Tran F, Doumont J, Blaha P, Marques MAL, Botti S, Bartók AP. Publisher’s Note: “On the calculation of the bandgap of periodic solids with MGGA functionals using the total energy” [J. Chem. Phys. 151, 161102 (2019)]. J Chem Phys 2019; 151:229901. [DOI: 10.1063/1.5139526] [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: 11/14/2022] Open
Affiliation(s)
- Fabien Tran
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Jan Doumont
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Peter Blaha
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Miguel A. L. Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Albert P. Bartók
- Rutherford Appleton Laboratory, Scientific Computing Department Science and Technology Facilities Council, Didcot OX11 0QX, United Kingdom
- Department of Physics and Warwick Centre for Predictive Modelling, School of Engineering, University of Warwick, Coventry CV4 7AL, United Kingdom
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27
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Tran F, Doumont J, Blaha P, Marques MAL, Botti S, Bartók AP. On the calculation of the bandgap of periodic solids with MGGA functionals using the total energy. J Chem Phys 2019; 151:161102. [DOI: 10.1063/1.5126393] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Fabien Tran
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Jan Doumont
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Peter Blaha
- Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria
| | - Miguel A. L. Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Albert P. Bartók
- Rutherford Appleton Laboratory, Scientific Computing Department Science and Technology Facilities Council, Didcot OX11 0QX, United Kingdom
- Department of Physics and Warwick Centre for Predictive Modelling, School of Engineering, University of Warwick, Coventry CV4 7AL, United Kingdom
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Schmidt J, Benavides-Riveros CL, Marques MAL. Machine Learning the Physical Nonlocal Exchange-Correlation Functional of Density-Functional Theory. J Phys Chem Lett 2019; 10:6425-6431. [PMID: 31596092 DOI: 10.1021/acs.jpclett.9b02422] [Citation(s) in RCA: 35] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We train a neural network as the universal exchange-correlation functional of density-functional theory that simultaneously reproduces both the exact exchange-correlation energy and the potential. This functional is extremely nonlocal but retains the computational scaling of traditional local or semilocal approximations. It therefore holds the promise of solving some of the delocalization problems that plague density-functional theory, while maintaining the computational efficiency that characterizes the Kohn-Sham equations. Furthermore, by using automatic differentiation, a capability present in modern machine-learning frameworks, we impose the exact mathematical relation between the exchange-correlation energy and the potential, leading to a fully consistent method. We demonstrate the feasibility of our approach by looking at one-dimensional systems with two strongly correlated electrons, where density-functional methods are known to fail, and investigate the behavior and performance of our functional by varying the degree of nonlocality.
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Affiliation(s)
- Jonathan Schmidt
- Institut für Physik , Martin-Luther-Universität Halle-Wittenberg , 06120 Halle (Saale) , Germany
| | | | - Miguel A L Marques
- Institut für Physik , Martin-Luther-Universität Halle-Wittenberg , 06120 Halle (Saale) , Germany
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29
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Borlido P, Aull T, Huran AW, Tran F, Marques MAL, Botti S. Large-Scale Benchmark of Exchange-Correlation Functionals for the Determination of Electronic Band Gaps of Solids. J Chem Theory Comput 2019; 15:5069-5079. [PMID: 31306006 PMCID: PMC6739738 DOI: 10.1021/acs.jctc.9b00322] [Citation(s) in RCA: 63] [Impact Index Per Article: 12.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
![]()
We
compile a large data set designed for the efficient benchmarking
of exchange–correlation functionals for the calculation of
electronic band gaps. The data set comprises information on the experimental
structure and band gap of 472 nonmagnetic materials and includes a
diverse group of covalent-, ionic-, and van der Waals-bonded solids.
We used it to benchmark 12 functionals, ranging from standard local
and semilocal functionals, passing through meta-generalized-gradient
approximations, and several hybrids. We included both general purpose
functionals, like the Perdew–Burke–Ernzerhof approximation,
and functionals specifically crafted for the determination of band
gaps. The comparison of experimental and theoretical band gaps shows
that the modified Becke–Johnson is at the moment the best available
density functional, closely followed by the Heyd–Scuseria–Ernzerhof
screened hybrid from 2006 and the high-local-exchange generalized-gradient
approximation.
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Affiliation(s)
- Pedro Borlido
- Institut für Festkörpertheorie und -optik , Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility , Max-Wien-Platz 1 , 07743 Jena , Germany
| | - Thorsten Aull
- Institut für Physik , Martin-Luther-Universität Halle-Wittenberg , D-06099 Halle , Germany
| | - Ahmad W Huran
- Institut für Physik , Martin-Luther-Universität Halle-Wittenberg , D-06099 Halle , Germany
| | - Fabien Tran
- Institute of Materials Chemistry , Vienna University of Technology , Getreidemarkt 9/165-TC , A-1060 Vienna , Austria
| | - Miguel A L Marques
- Institut für Physik , Martin-Luther-Universität Halle-Wittenberg , D-06099 Halle , Germany
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik , Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility , Max-Wien-Platz 1 , 07743 Jena , Germany
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GrauŽinytė M, Botti S, Marques MAL, Goedecker S, Flores-Livas JA. Computational acceleration of prospective dopant discovery in cuprous iodide. Phys Chem Chem Phys 2019; 21:18839-18849. [PMID: 31353386 DOI: 10.1039/c9cp02711d] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Abstract
The zinc blende (γ) phase of copper iodide holds the record hole conductivity for intrinsic transparent p-type semiconductors. In this work, we employ a high-throughput approach to systematically explore strategies for enhancing γ-CuI further by impurity incorporation. Our objectives are not only to find a practical approach to increase the hole conductivity in CuI thin films, but also to explore the possibility for ambivalent doping. In total 64 chemical elements were investigated as possible substitutionals on either the copper or the iodine site. All chalcogen elements were found to display acceptor character when substituting iodine, with sulfur and selenium significantly enhancing carrier concentrations produced by the native VCu defects under conditions most favorable for impurity incorporation. Furthermore, eight impurities suitable for n-type doping were discovered. Unfortunately, our work also reveals that donor doping is hindered by compensating native defects, making ambipolar doping unlikely. Finally, we investigated how the presence of impurities influences the optical properties. In the majority of the interesting cases, we found no deep states in the band-gap, showing that CuI remains transparent upon doping.
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Affiliation(s)
- Miglė GrauŽinytė
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056 Basel, Switzerland.
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Stefan Goedecker
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056 Basel, Switzerland.
| | - José A Flores-Livas
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056 Basel, Switzerland. and Dipartimento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro 5, I-00185 Roma, Italy
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31
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Affiliation(s)
| | - Miguel A. L. Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle (Saale), Germany
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Marques MRG, Wolff J, Steigemann C, Marques MAL. Neural network force fields for simple metals and semiconductors: construction and application to the calculation of phonons and melting temperatures. Phys Chem Chem Phys 2019; 21:6506-6516. [PMID: 30843548 DOI: 10.1039/c8cp05771k] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Abstract
We present a practical procedure to obtain reliable and unbiased neural network based force fields for solids. Training and test sets are efficiently generated from global structural prediction runs, at the same time assuring the structural variety and importance of sampling the relevant regions of phase space. The neural networks are trained to yield not only good formation energies, but also accurate forces and stresses, which are the quantities of interest for molecular dynamics simulations. Finally, we construct, as an example, several force fields for both semiconducting and metallic elements, and prove their accuracy for a variety of structural and dynamical properties. These are then used to study the melting of bulk copper and gold.
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Affiliation(s)
- Mário R G Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle (Saale), Germany.
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Schmidt J, Chen L, Botti S, Marques MAL. Predicting the stability of ternary intermetallics with density functional theory and machine learning. J Chem Phys 2018; 148:241728. [DOI: 10.1063/1.5020223] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [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)
- Jonathan Schmidt
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - Liming Chen
- Liris laboratory UMR CNRS 5205 Ecole Centrale de Lyon, University of Lyon, 36 avenue Guy de Collongue 69134 Ecully Cedex, France
| | - Silvana Botti
- Institut für Festkörpertheorie und -Optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A. L. Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
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Gómez Pueyo A, Marques MAL, Rubio A, Castro A. Propagators for the Time-Dependent Kohn-Sham Equations: Multistep, Runge-Kutta, Exponential Runge-Kutta, and Commutator Free Magnus Methods. J Chem Theory Comput 2018; 14:3040-3052. [PMID: 29672048 DOI: 10.1021/acs.jctc.8b00197] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We examine various integration schemes for the time-dependent Kohn-Sham equations. Contrary to the time-dependent Schrödinger's equation, this set of equations is nonlinear, due to the dependence of the Hamiltonian on the electronic density. We discuss some of their exact properties, and in particular their symplectic structure. Four different families of propagators are considered, specifically the linear multistep, Runge-Kutta, exponential Runge-Kutta, and the commutator-free Magnus schemes. These have been chosen because they have been largely ignored in the past for time-dependent electronic structure calculations. The performance is analyzed in terms of cost-versus-accuracy. The clear winner, in terms of robustness, simplicity, and efficiency is a simplified version of a fourth-order commutator-free Magnus integrator. However, in some specific cases, other propagators, such as some implicit versions of the multistep methods, may be useful.
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Affiliation(s)
- Adrián Gómez Pueyo
- Institute for Biocomputation and Physics of Complex Systems , University of Zaragoza , Calle Mariano Esquillor , 50018 Zaragoza , Spain
| | - Miguel A L Marques
- Institut für Physik , Martin-Luther-Universität Halle-Wittenberg , 06120 Halle (Saale) , Germany
| | - Angel Rubio
- Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science , Luruper Chaussee 149 , 22761 Hamburg , Germany.,Center for Computational Quantum Physics (CCQ) , The Flatiron Institute , New York , New York 10010 , United States.,Nano-Bio Spectroscopy Group , Universidad del País Vasco , 20018 San Sebastián , Spain
| | - Alberto Castro
- Institute for Biocomputation and Physics of Complex Systems , University of Zaragoza , Calle Mariano Esquillor , 50018 Zaragoza , Spain.,ARAID Foundation , Calle María Luna , 50018 Zaragoza , Spain
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Huran AW, Steigemann C, Frauenheim T, Aradi B, Marques MAL. Efficient Automatized Density-Functional Tight-Binding Parametrizations: Application to Group IV Elements. J Chem Theory Comput 2018; 14:2947-2954. [DOI: 10.1021/acs.jctc.7b01269] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [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)
- Ahmad W. Huran
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle (Saale), Germany
| | - Conrad Steigemann
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle (Saale), Germany
| | | | - Bálint Aradi
- BCCMS, University of Bremen, 28359 Bremen, Germany
| | - Miguel A. L. Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle (Saale), Germany
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Benavides-Riveros CL, Lathiotakis NN, Marques MAL. Towards a formal definition of static and dynamic electronic correlations. Phys Chem Chem Phys 2018; 19:12655-12664. [PMID: 28474027 DOI: 10.1039/c7cp01137g] [Citation(s) in RCA: 31] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Some of the most spectacular failures of density-functional and Hartree-Fock theories are related to an incorrect description of the so-called static electron correlation. Motivated by recent progress in the N-representability problem of the one-body density matrix for pure states, we propose a method to quantify the static contribution to the electronic correlation. By studying several molecular systems we show that our proposal correlates well with our intuition of static and dynamic electron correlation. Our results bring out the paramount importance of the occupancy of the highest occupied natural spin-orbital in such quantification.
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Affiliation(s)
- Pedro Borlido
- Institut
für Festkörpertheorie und-optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A. L. Marques
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg and European Theoretical Spectroscopy Facility, D-06099 Halle, Germany
| | - Silvana Botti
- Institut
für Festkörpertheorie und-optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
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Flores-Livas JA, Sanna A, Graužinytė M, Davydov A, Goedecker S, Marques MAL. Emergence of superconductivity in doped H 2O ice at high pressure. Sci Rep 2017; 7:6825. [PMID: 28754909 PMCID: PMC5533783 DOI: 10.1038/s41598-017-07145-4] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/24/2017] [Accepted: 06/22/2017] [Indexed: 11/18/2022] Open
Abstract
We investigate the possibility of achieving high-temperature superconductivity in hydrides under pressure by inducing metallization of otherwise insulating phases through doping, a path previously used to render standard semiconductors superconducting at ambient pressure. Following this idea, we study H2O, one of the most abundant and well-studied substances, we identify nitrogen as the most likely and promising substitution/dopant. We show that for realistic levels of doping of a few percent, the phase X of ice becomes superconducting with a critical temperature of about 60 K at 150 GPa. In view of the vast number of hydrides that are strongly covalent bonded, but that remain insulating up to rather large pressures, our results open a series of new possibilities in the quest for novel high-temperature superconductors.
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Affiliation(s)
- José A Flores-Livas
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056, Basel, Switzerland.
| | - Antonio Sanna
- Max-Planck Institut of Microstructure Physics, Weinberg 2, 06120, Halle, Germany
| | - Miglė Graužinytė
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056, Basel, Switzerland
| | - Arkadiy Davydov
- Max-Planck Institut of Microstructure Physics, Weinberg 2, 06120, Halle, Germany
| | - Stefan Goedecker
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056, Basel, Switzerland
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099, Halle, Germany
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Shi J, Cerqueira TFT, Cui W, Nogueira F, Botti S, Marques MAL. High-throughput search of ternary chalcogenides for p-type transparent electrodes. Sci Rep 2017; 7:43179. [PMID: 28266587 PMCID: PMC5339873 DOI: 10.1038/srep43179] [Citation(s) in RCA: 38] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2016] [Accepted: 01/19/2017] [Indexed: 11/16/2022] Open
Abstract
Delafossite crystals are fascinating ternary oxides that have demonstrated transparent conductivity and ambipolar doping. Here we use a high-throughput approach based on density functional theory to find delafossite and related layered phases of composition ABX2, where A and B are elements of the periodic table, and X is a chalcogen (O, S, Se, and Te). From the 15 624 compounds studied in the trigonal delafossite prototype structure, 285 are within 50 meV/atom from the convex hull of stability. These compounds are further investigated using global structural prediction methods to obtain their lowest-energy crystal structure. We find 79 systems not present in the materials project database that are thermodynamically stable and crystallize in the delafossite or in closely related structures. These novel phases are then characterized by calculating their band gaps and hole effective masses. This characterization unveils a large diversity of properties, ranging from normal metals, magnetic metals, and some candidate compounds for p-type transparent electrodes.
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Affiliation(s)
- Jingming Shi
- Institut Lumière Matière, UMR5306 Universitè Lyon 1-CNRS, Universitè de Lyon, F-69622 Villeurbanne Cedex, France
| | - Tiago F T Cerqueira
- Institut für Festkörpertheorie und -optik and ETSF, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Wenwen Cui
- Institut Lumière Matière, UMR5306 Universitè Lyon 1-CNRS, Universitè de Lyon, F-69622 Villeurbanne Cedex, France
| | - Fernando Nogueira
- CFisUC, Department of Physics, University of Coimbra, 3004-516, Portugal
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik and ETSF, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
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40
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Jornet-Somoza J, Alberdi-Rodriguez J, Milne BF, Andrade X, Marques MAL, Nogueira F, Oliveira MJT, Stewart JJP, Rubio A. Insights into colour-tuning of chlorophyll optical response in green plants. Phys Chem Chem Phys 2016; 17:26599-606. [PMID: 26250099 DOI: 10.1039/c5cp03392f] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Abstract
First-principles calculations within the framework of real-space time-dependent density functional theory have been performed for the complete chlorophyll (Chl) network of the light-harvesting complex from green plants, LHC-II. A local-dipole analysis method developed for this work has made possible the studies of the optical response of individual Chl molecules subjected to the influence of the remainder of the chromophore network. The spectra calculated using our real-space TDDFT method agree with previous suggestions that weak interaction with the protein microenvironment should produce only minor changes in the absorption spectrum of Chl chromophores in LHC-II. In addition, relative shifting of Chl absorption energies leads the stromal and lumenal sides of LHC-II to absorb in slightly different parts of the visible spectrum providing greater coverage of the available light frequencies. The site-specific alterations in Chl excitation energies support the existence of intrinsic energy transfer pathways within the LHC-II complex.
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41
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Andrade X, Strubbe D, De Giovannini U, Larsen AH, Oliveira MJT, Alberdi-Rodriguez J, Varas A, Theophilou I, Helbig N, Verstraete MJ, Stella L, Nogueira F, Aspuru-Guzik A, Castro A, Marques MAL, Rubio A. Real-space grids and the Octopus code as tools for the development of new simulation approaches for electronic systems. Phys Chem Chem Phys 2016; 17:31371-96. [PMID: 25721500 DOI: 10.1039/c5cp00351b] [Citation(s) in RCA: 186] [Impact Index Per Article: 23.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
Real-space grids are a powerful alternative for the simulation of electronic systems. One of the main advantages of the approach is the flexibility and simplicity of working directly in real space where the different fields are discretized on a grid, combined with competitive numerical performance and great potential for parallelization. These properties constitute a great advantage at the time of implementing and testing new physical models. Based on our experience with the Octopus code, in this article we discuss how the real-space approach has allowed for the recent development of new ideas for the simulation of electronic systems. Among these applications are approaches to calculate response properties, modeling of photoemission, optimal control of quantum systems, simulation of plasmonic systems, and the exact solution of the Schrödinger equation for low-dimensionality systems.
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Affiliation(s)
- Xavier Andrade
- Lawrence Livermore National Laboratory, Livermore, CA 94550, USA. and Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA
| | - David Strubbe
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Umberto De Giovannini
- Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Universidad del País Vasco CFM CSIC-UPV/EHU-MPC & DIPC, 20018 Donostia-San Sebastián, Spain
| | - Ask Hjorth Larsen
- Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Universidad del País Vasco CFM CSIC-UPV/EHU-MPC & DIPC, 20018 Donostia-San Sebastián, Spain
| | - Micael J T Oliveira
- Unité Nanomat, Département de Physique, Université de Liège, Allée du 6 Août 17, B-4000 Liège, Belgium
| | - Joseba Alberdi-Rodriguez
- Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Universidad del País Vasco CFM CSIC-UPV/EHU-MPC & DIPC, 20018 Donostia-San Sebastián, Spain and Dept. of Computer Architecture and Technology, University of the Basque Country UPV/EHU, M. Lardizabal, 1, 20018 Donostia-San Sebastian, Spain
| | - Alejandro Varas
- Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Universidad del País Vasco CFM CSIC-UPV/EHU-MPC & DIPC, 20018 Donostia-San Sebastián, Spain
| | - Iris Theophilou
- Peter-Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - Nicole Helbig
- Peter-Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - Matthieu J Verstraete
- Unité Nanomat, Département de Physique, Université de Liège, Allée du 6 Août 17, B-4000 Liège, Belgium
| | - Lorenzo Stella
- Atomistic Simulation Centre, School of Mathematics and Physics, Queen's University Belfast, University Road, Belfast BT7 1NN, Northern Ireland, UK
| | - Fernando Nogueira
- Center for Computational Physics, University of Coimbra, Rua Larga, 3004-516 Coimbra, Portugal
| | - Alán Aspuru-Guzik
- Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA
| | - Alberto Castro
- Institute for Biocomputation and Physics of Complex Systems (BIFI) and Zaragoza Center for Advanced Modeling (ZCAM), University of Zaragoza, E-50009 Zaragoza, Spain and ARAID Foundation, María de Luna 11, Edificio CEEI Aragón, Zaragoza E-50018, Spain
| | - Miguel A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, Von-Seckendorff-Platz 1, 06120 Halle (Saale), Germany
| | - Angel Rubio
- Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Universidad del País Vasco CFM CSIC-UPV/EHU-MPC & DIPC, 20018 Donostia-San Sebastián, Spain and Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
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42
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Munoz F, Vergniory MG, Rauch T, Henk J, Chulkov EV, Mertig I, Botti S, Marques MAL, Romero AH. Topological Crystalline Insulator in a New Bi Semiconducting Phase. Sci Rep 2016; 6:21790. [PMID: 26905601 PMCID: PMC4764853 DOI: 10.1038/srep21790] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2015] [Accepted: 02/01/2016] [Indexed: 11/20/2022] Open
Abstract
Topological crystalline insulators are a type of topological insulators whose topological surface states are protected by a crystal symmetry, thus the surface gap can be tuned by applying strain or an electric field. In this paper we predict by means of ab initio calculations a new phase of Bi which is a topological crystalline insulator characterized by a mirror Chern number nM = −2, but not a strong topological insulator. This system presents an exceptional property: at the (001) surface its Dirac cones are pinned at the surface high-symmetry points. As a consequence they are also protected by time-reversal symmetry and can survive against weak disorder even if in-plane mirror symmetry is broken at the surface. Taking advantage of this dual protection, we present a strategy to tune the band-gap based on a topological phase transition unique to this system. Since the spin-texture of these topological surface states reduces the back-scattering in carrier transport, this effective band-engineering is expected to be suitable for electronic and optoelectronic devices with reduced dissipation.
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Affiliation(s)
- F Munoz
- Departamento de Física, Facultad de Ciencias, Universidad de Chile &Centro para el Desarrollo de la Nanociencia y la Nanotecnologia, CEDENNA, Santiago, Chile
| | - M G Vergniory
- Donostia International Physics Center, 20018 Donostia-San Sebastian, Spain
| | - T Rauch
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - J Henk
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
| | - E V Chulkov
- Donostia International Physics Center, 20018 Donostia-San Sebastian, Spain.,Tomsk State University, Tomsk, Russia.,Departamento de Fisica de materiales, Facultad de Ciencias Quimicas, UPV/EHU and Centro de Fisica de Materiales, Centro Mixto CSIC-UPV/EHU, San Sebastian, Spain.,St. Petersburg State University, St. Petersburg, Russia
| | - I Mertig
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany.,Max Planck Institute of Microstructure Physics, Halle, Germany
| | - S Botti
- Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena, Jena, Germany.,Institut Lumière Matière (UMR5306), Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - M A L Marques
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany.,Institut Lumière Matière (UMR5306), Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - A H Romero
- Physics Department, West Virginia University, Morgantown, USA
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43
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Shi J, Cui W, Flores-Livas JA, San-Miguel A, Botti S, Marques MAL. Investigation of new phases in the Ba–Si phase diagram under high pressure using ab initio structural search. Phys Chem Chem Phys 2016; 18:8108-14. [DOI: 10.1039/c5cp07962d] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Barium silicides are versatile materials that have attracted attention for a variety of applications in electronics and optoelectronics.
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Affiliation(s)
- Jingming Shi
- Institut Lumière Matière
- UMR5306 Université Lyon 1-CNRS
- Université de Lyon
- F-69622 Villeurbanne Cedex
- France
| | - Wenwen Cui
- Institut Lumière Matière
- UMR5306 Université Lyon 1-CNRS
- Université de Lyon
- F-69622 Villeurbanne Cedex
- France
| | | | - Alfonso San-Miguel
- Institut Lumière Matière
- UMR5306 Université Lyon 1-CNRS
- Université de Lyon
- F-69622 Villeurbanne Cedex
- France
| | - Silvana Botti
- Institut für Festkörpertheorie und -optik
- Friedrich-Schiller-Universität Jena
- 07743 Jena
- Germany
- European Theoretical Spectroscopy Facility
| | - Miguel A. L. Marques
- Institut für Physik
- Martin-Luther-Universität Halle-Wittenberg
- D-06099 Halle
- Germany
- European Theoretical Spectroscopy Facility
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44
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Cui W, Cerqueira TFT, Botti S, Marques MAL, San-Miguel A. Nanostructured water and carbon dioxide inside collapsing carbon nanotubes at high pressure. Phys Chem Chem Phys 2016; 18:19926-32. [DOI: 10.1039/c6cp03263j] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
We present simulations of the collapse under hydrostatic pressure of carbon nanotubes containing either water or carbon dioxide.
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Affiliation(s)
- Wenwen Cui
- Institut Lumière Matière
- UMR5306 Université Lyon 1-CNRS
- Université de Lyon
- F-69622 Villeurbanne Cedex
- France
| | - Tiago F. T. Cerqueira
- Institut Lumière Matière
- UMR5306 Université Lyon 1-CNRS
- Université de Lyon
- F-69622 Villeurbanne Cedex
- France
| | - Silvana Botti
- Institut Lumière Matière
- UMR5306 Université Lyon 1-CNRS
- Université de Lyon
- F-69622 Villeurbanne Cedex
- France
| | - Miguel A. L. Marques
- Institut für Physik
- Martin-Luther-Universität Halle-Wittenberg
- D-06099 Halle
- Germany
- Institut Lumière Matière
| | - Alfonso San-Miguel
- Institut Lumière Matière
- UMR5306 Université Lyon 1-CNRS
- Université de Lyon
- F-69622 Villeurbanne Cedex
- France
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45
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Sarmiento-Pérez R, Botti S, Marques MAL. Optimized Exchange and Correlation Semilocal Functional for the Calculation of Energies of Formation. J Chem Theory Comput 2015; 11:3844-50. [DOI: 10.1021/acs.jctc.5b00529] [Citation(s) in RCA: 20] [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] [Indexed: 11/29/2022]
Affiliation(s)
- Rafael Sarmiento-Pérez
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Cedex Villeurbanne, France
- Institut
für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Silvana Botti
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Cedex Villeurbanne, France
- Institut
für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Miguel A. L. Marques
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Cedex Villeurbanne, France
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
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46
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Affiliation(s)
- Tiago F. T. Cerqueira
- Institut
für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Cedex Villeurbanne, France
| | - Rafael Sarmiento-Pérez
- Institut
für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Cedex Villeurbanne, France
| | - Maximilian Amsler
- Department
of Physics, Universität Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland
| | - F. Nogueira
- Centro
de Física Computacional, Departamento de Física, Universidade de Coimbra, Rua Larga, 3004-516 Coimbra, Portugal
| | - Silvana Botti
- Institut
für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility, Max-Wien-Platz 1, 07743 Jena, Germany
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Cedex Villeurbanne, France
| | - Miguel A. L. Marques
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Cedex Villeurbanne, France
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany
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47
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Theophilou I, Lathiotakis NN, Marques MAL, Helbig N. Generalized Pauli constraints in reduced density matrix functional theory. J Chem Phys 2015; 142:154108. [DOI: 10.1063/1.4918346] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Affiliation(s)
- Iris Theophilou
- Peter-Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - Nektarios N. Lathiotakis
- Theoretical and Physical Chemistry Institute, National Hellenic Research Foundation, Vass. Constantinou 48, GR-11635 Athens, Greece
- Max-Planck-Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle (Saale), Germany
| | - Miguel A. L. Marques
- Institut für Physik Martin-Luther-Universität Halle-Wittenberg, D-06120 Halle (Saale), Germany
| | - Nicole Helbig
- Peter-Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
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48
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Sarmiento-Pérez R, Cerqueira TFT, Valencia-Jaime I, Amsler M, Goedecker S, Romero AH, Botti S, Marques MAL. Novel phases of lithium-aluminum binaries from first-principles structural search. J Chem Phys 2015; 142:024710. [DOI: 10.1063/1.4905141] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [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)
- Rafael Sarmiento-Pérez
- Institut Lumière Matière (UMR5306) and ETSF, Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - Tiago F. T. Cerqueira
- Institut Lumière Matière (UMR5306) and ETSF, Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - Irais Valencia-Jaime
- Institut Lumière Matière (UMR5306) and ETSF, Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
- Centro de Investigación y Estudios Avanzados del IPN, MX-76230 Querétaro, Mexico
| | - Maximilian Amsler
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056 Basel, Switzerland
| | - Stefan Goedecker
- Department of Physics, Universität Basel, Klingelbergstr. 82, 4056 Basel, Switzerland
| | - Aldo H. Romero
- Physics Department, West Virginia University, Morgantown, West Virginia 26506-6315, USA
| | - Silvana Botti
- Institut Lumière Matière (UMR5306) and ETSF, Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - Miguel A. L. Marques
- Institut Lumière Matière (UMR5306) and ETSF, Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
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49
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Cerqueira TFT, Oliveira MJT, Marques MAL. Benchmarking the AK13 Exchange Functional: Ionization Potentials and Electron Affinities. J Chem Theory Comput 2014; 10:5625-9. [DOI: 10.1021/ct500550s] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [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)
- Tiago F. T. Cerqueira
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - Micael J. T. Oliveira
- Center
for Computational Physics, University of Coimbra, Rua Larga, 3004-516 Coimbra, Portugal
- Unité
Nanomat, Université de Liège, Allée du 6 Août 17, B-4000 Liège, Belgium
| | - Miguel A. L. Marques
- Institut
Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
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50
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Körbel S, Boulanger P, Duchemin I, Blase X, Marques MAL, Botti S. Benchmark Many-Body GW and Bethe–Salpeter Calculations for Small Transition Metal Molecules. J Chem Theory Comput 2014; 10:3934-43. [DOI: 10.1021/ct5003658] [Citation(s) in RCA: 90] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Sabine Körbel
- Institut
Lumière Matière and European
Theoretical Spectroscopy Facility, UMR5306 Université
Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - Paul Boulanger
- Univ. Grenoble Alpes, Inst NEEL, F-38042 Grenoble, France
- CNRS, Inst NEEL, F-38042 Grenoble, France
| | - Ivan Duchemin
- INAC, SP2M/L_sim, CEA cedex 09, 38054 Grenoble, France
| | - Xavier Blase
- Univ. Grenoble Alpes, Inst NEEL, F-38042 Grenoble, France
- CNRS, Inst NEEL, F-38042 Grenoble, France
| | - Miguel A. L. Marques
- Institut
Lumière Matière and European
Theoretical Spectroscopy Facility, UMR5306 Université
Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
| | - Silvana Botti
- Institut
Lumière Matière and European
Theoretical Spectroscopy Facility, UMR5306 Université
Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne Cedex, France
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