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Orlando R, Romaniello P, Loos PF. The three channels of many-body perturbation theory: GW, particle-particle, and electron-hole T-matrix self-energies. J Chem Phys 2023; 159:184113. [PMID: 37962450 DOI: 10.1063/5.0176898] [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: 09/18/2023] [Accepted: 10/23/2023] [Indexed: 11/15/2023] Open
Abstract
We derive the explicit expression of the three self-energies that one encounters in many-body perturbation theory: the well-known GW self-energy, as well as the particle-particle and electron-hole T-matrix self-energies. Each of these can be easily computed via the eigenvalues and eigenvectors of a different random-phase approximation linear eigenvalue problem that completely defines their corresponding response function. For illustrative and comparative purposes, we report the principal ionization potentials of a set of small molecules computed at each level of theory. The performance of these schemes on strongly correlated systems (B2 and C2) is also discussed.
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Affiliation(s)
- Roberto Orlando
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France
- European Theoretical Spectroscopy Facility (ETSF)
| | - Pina Romaniello
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France
- European Theoretical Spectroscopy Facility (ETSF)
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France
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Orlando R, Romaniello P, Loos PF. Exploring new exchange-correlation kernels in the Bethe–Salpeter equation: A study of the asymmetric Hubbard dimer. Advances in Quantum Chemistry 2023. [DOI: 10.1016/bs.aiq.2023.02.007] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/30/2023]
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3
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Teale AM, Helgaker T, Savin A, Adamo C, Aradi B, Arbuznikov AV, Ayers PW, Baerends EJ, Barone V, Calaminici P, Cancès E, Carter EA, Chattaraj PK, Chermette H, Ciofini I, Crawford TD, De Proft F, Dobson JF, Draxl C, Frauenheim T, Fromager E, Fuentealba P, Gagliardi L, Galli G, Gao J, Geerlings P, Gidopoulos N, Gill PMW, Gori-Giorgi P, Görling A, Gould T, Grimme S, Gritsenko O, Jensen HJA, Johnson ER, Jones RO, Kaupp M, Köster AM, Kronik L, Krylov AI, Kvaal S, Laestadius A, Levy M, Lewin M, Liu S, Loos PF, Maitra NT, Neese F, Perdew JP, Pernal K, Pernot P, Piecuch P, Rebolini E, Reining L, Romaniello P, Ruzsinszky A, Salahub DR, Scheffler M, Schwerdtfeger P, Staroverov VN, Sun J, Tellgren E, Tozer DJ, Trickey SB, Ullrich CA, Vela A, Vignale G, Wesolowski TA, Xu X, Yang W. DFT exchange: sharing perspectives on the workhorse of quantum chemistry and materials science. Phys Chem Chem Phys 2022; 24:28700-28781. [PMID: 36269074 PMCID: PMC9728646 DOI: 10.1039/d2cp02827a] [Citation(s) in RCA: 54] [Impact Index Per Article: 27.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2022] [Accepted: 08/09/2022] [Indexed: 12/13/2022]
Abstract
In this paper, the history, present status, and future of density-functional theory (DFT) is informally reviewed and discussed by 70 workers in the field, including molecular scientists, materials scientists, method developers and practitioners. The format of the paper is that of a roundtable discussion, in which the participants express and exchange views on DFT in the form of 302 individual contributions, formulated as responses to a preset list of 26 questions. Supported by a bibliography of 777 entries, the paper represents a broad snapshot of DFT, anno 2022.
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Affiliation(s)
- Andrew M. Teale
- School of Chemistry, University of Nottingham, University ParkNottinghamNG7 2RDUK
| | - Trygve Helgaker
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - Andreas Savin
- Laboratoire de Chimie Théorique, CNRS and Sorbonne University, 4 Place Jussieu, CEDEX 05, 75252 Paris, France.
| | - Carlo Adamo
- PSL University, CNRS, ChimieParisTech-PSL, Institute of Chemistry for Health and Life Sciences, i-CLeHS, 11 rue P. et M. Curie, 75005 Paris, France.
| | - Bálint Aradi
- Bremen Center for Computational Materials Science, University of Bremen, P.O. Box 330440, D-28334 Bremen, Germany.
| | - Alexei V. Arbuznikov
- Technische Universität Berlin, Institut für Chemie, Theoretische Chemie/Quantenchemie, Sekr. C7Straße des 17. Juni 13510623Berlin
| | | | - Evert Jan Baerends
- Department of Chemistry and Pharmaceutical Sciences, Faculty of Science, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
| | - Vincenzo Barone
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56125 Pisa, Italy.
| | - Patrizia Calaminici
- Departamento de Química, Centro de Investigación y de Estudios Avanzados (Cinvestav), CDMX, 07360, Mexico.
| | - Eric Cancès
- CERMICS, Ecole des Ponts and Inria Paris, 6 Avenue Blaise Pascal, 77455 Marne-la-Vallée, France.
| | - Emily A. Carter
- Department of Mechanical and Aerospace Engineering and the Andlinger Center for Energy and the Environment, Princeton UniversityPrincetonNJ 08544-5263USA
| | | | - Henry Chermette
- Institut Sciences Analytiques, Université Claude Bernard Lyon1, CNRS UMR 5280, 69622 Villeurbanne, France.
| | - Ilaria Ciofini
- PSL University, CNRS, ChimieParisTech-PSL, Institute of Chemistry for Health and Life Sciences, i-CLeHS, 11 rue P. et M. Curie, 75005 Paris, France.
| | - T. Daniel Crawford
- Department of Chemistry, Virginia TechBlacksburgVA 24061USA,Molecular Sciences Software InstituteBlacksburgVA 24060USA
| | - Frank De Proft
- Research Group of General Chemistry (ALGC), Vrije Universiteit Brussel (VUB), Pleinlaan 2, B-1050 Brussels, Belgium.
| | | | - Claudia Draxl
- Institut für Physik and IRIS Adlershof, Humboldt-Universität zu Berlin, 12489 Berlin, Germany. .,Fritz-Haber-Institut der Max-Planck-Gesellschaft, 14195 Berlin, Germany
| | - Thomas Frauenheim
- Bremen Center for Computational Materials Science, University of Bremen, P.O. Box 330440, D-28334 Bremen, Germany. .,Beijing Computational Science Research Center (CSRC), 100193 Beijing, China.,Shenzhen JL Computational Science and Applied Research Institute, 518110 Shenzhen, China
| | - Emmanuel Fromager
- Laboratoire de Chimie Quantique, Institut de Chimie, CNRS/Université de Strasbourg, 4 rue Blaise Pascal, 67000 Strasbourg, France.
| | - Patricio Fuentealba
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile.
| | - Laura Gagliardi
- Department of Chemistry, Pritzker School of Molecular Engineering, The James Franck Institute, and Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, USA.
| | - Giulia Galli
- Pritzker School of Molecular Engineering and Department of Chemistry, The University of Chicago, Chicago, IL, USA.
| | - Jiali Gao
- Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen 518055, China. .,Department of Chemistry, University of Minnesota, Minneapolis, MN 55455, USA
| | - Paul Geerlings
- Research Group of General Chemistry (ALGC), Vrije Universiteit Brussel (VUB), Pleinlaan 2, B-1050 Brussels, Belgium.
| | - Nikitas Gidopoulos
- Department of Physics, Durham University, South Road, Durham DH1 3LE, UK.
| | - Peter M. W. Gill
- School of Chemistry, University of SydneyCamperdown NSW 2006Australia
| | - Paola Gori-Giorgi
- Department of Chemistry and Pharmaceutical Sciences, Amsterdam Institute of Molecular and Life Sciences (AIMMS), Faculty of Science, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
| | - Andreas Görling
- Chair of Theoretical Chemistry, University of Erlangen-Nuremberg, Egerlandstrasse 3, 91058 Erlangen, Germany.
| | - Tim Gould
- Qld Micro- and Nanotechnology Centre, Griffith University, Gold Coast, Qld 4222, Australia.
| | - Stefan Grimme
- Mulliken Center for Theoretical Chemistry, University of Bonn, Beringstrasse 4, 53115 Bonn, Germany.
| | - Oleg Gritsenko
- Department of Chemistry and Pharmaceutical Sciences, Amsterdam Institute of Molecular and Life Sciences (AIMMS), Faculty of Science, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
| | - Hans Jørgen Aagaard Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, DK-5230 Odense M, Denmark.
| | - Erin R. Johnson
- Department of Chemistry, Dalhousie UniversityHalifaxNova ScotiaB3H 4R2Canada
| | - Robert O. Jones
- Peter Grünberg Institut PGI-1, Forschungszentrum Jülich52425 JülichGermany
| | - Martin Kaupp
- Technische Universität Berlin, Institut für Chemie, Theoretische Chemie/Quantenchemie, Sekr. C7, Straße des 17. Juni 135, 10623, Berlin.
| | - Andreas M. Köster
- Departamento de Química, Centro de Investigación y de Estudios Avanzados (Cinvestav)CDMX07360Mexico
| | - Leeor Kronik
- Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovoth, 76100, Israel.
| | - Anna I. Krylov
- Department of Chemistry, University of Southern CaliforniaLos AngelesCalifornia 90089USA
| | - Simen Kvaal
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - Andre Laestadius
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - Mel Levy
- Department of Chemistry, Tulane University, New Orleans, Louisiana, 70118, USA.
| | - Mathieu Lewin
- CNRS & CEREMADE, Université Paris-Dauphine, PSL Research University, Place de Lattre de Tassigny, 75016 Paris, France.
| | - Shubin Liu
- Research Computing Center, University of North Carolina, Chapel Hill, NC 27599-3420, USA. .,Department of Chemistry, University of North Carolina, Chapel Hill, NC 27599-3290, USA
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, France.
| | - Neepa T. Maitra
- Department of Physics, Rutgers University at Newark101 Warren StreetNewarkNJ 07102USA
| | - Frank Neese
- Max Planck Institut für Kohlenforschung, Kaiser Wilhelm Platz 1, D-45470 Mülheim an der Ruhr, Germany.
| | - John P. Perdew
- Departments of Physics and Chemistry, Temple UniversityPhiladelphiaPA 19122USA
| | - Katarzyna Pernal
- Institute of Physics, Lodz University of Technology, ul. Wolczanska 219, 90-924 Lodz, Poland.
| | - Pascal Pernot
- Institut de Chimie Physique, UMR8000, CNRS and Université Paris-Saclay, Bât. 349, Campus d'Orsay, 91405 Orsay, France.
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA. .,Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Elisa Rebolini
- Institut Laue Langevin, 71 avenue des Martyrs, 38000 Grenoble, France.
| | - Lucia Reining
- Laboratoire des Solides Irradiés, CNRS, CEA/DRF/IRAMIS, École Polytechnique, Institut Polytechnique de Paris, F-91120 Palaiseau, France. .,European Theoretical Spectroscopy Facility
| | - Pina Romaniello
- Laboratoire de Physique Théorique (UMR 5152), Université de Toulouse, CNRS, UPS, France.
| | - Adrienn Ruzsinszky
- Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USA.
| | - Dennis R. Salahub
- Department of Chemistry, Department of Physics and Astronomy, CMS – Centre for Molecular Simulation, IQST – Institute for Quantum Science and Technology, Quantum Alberta, University of Calgary2500 University Drive NWCalgaryAlbertaT2N 1N4Canada
| | - Matthias Scheffler
- The NOMAD Laboratory at the FHI of the Max-Planck-Gesellschaft and IRIS-Adlershof of the Humboldt-Universität zu Berlin, Faradayweg 4-6, D-14195, Germany.
| | - Peter Schwerdtfeger
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland, 0632 Auckland, New Zealand.
| | - Viktor N. Staroverov
- Department of Chemistry, The University of Western OntarioLondonOntario N6A 5B7Canada
| | - Jianwei Sun
- Department of Physics and Engineering Physics, Tulane University, New Orleans, LA 70118, USA.
| | - Erik Tellgren
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway.
| | - David J. Tozer
- Department of Chemistry, Durham UniversitySouth RoadDurhamDH1 3LEUK
| | - Samuel B. Trickey
- Quantum Theory Project, Deptartment of Physics, University of FloridaGainesvilleFL 32611USA
| | - Carsten A. Ullrich
- Department of Physics and Astronomy, University of MissouriColumbiaMO 65211USA
| | - Alberto Vela
- Departamento de Química, Centro de Investigación y de Estudios Avanzados (Cinvestav), CDMX, 07360, Mexico.
| | - Giovanni Vignale
- Department of Physics, University of Missouri, Columbia, MO 65203, USA.
| | - Tomasz A. Wesolowski
- Department of Physical Chemistry, Université de Genève30 Quai Ernest-Ansermet1211 GenèveSwitzerland
| | - Xin Xu
- Shanghai Key Laboratory of Molecular Catalysis and Innovation Materials, Collaborative Innovation Centre of Chemistry for Energy Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry, Fudan University, Shanghai 200433, China.
| | - Weitao Yang
- Department of Chemistry and Physics, Duke University, Durham, NC 27516, USA.
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Abstract
While the well-established GW approximation corresponds to a resummation of the direct ring diagrams and is particularly well suited for weakly correlated systems, the T-matrix approximation does sum ladder diagrams up to infinity and is supposedly more appropriate in the presence of strong correlation. Here, we derive and implement, for the first time, the static and dynamic Bethe-Salpeter equations when one considers T-matrix quasiparticle energies and a T-matrix-based kernel. The performance of the static scheme and its perturbative dynamical correction are assessed by computing the neutral excited states of molecular systems. A comparison with more conventional schemes as well as other wave function methods is also reported. Our results suggest that the T-matrix-based formalism performs best in few-electron systems where the electron density remains low.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Pina Romaniello
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France
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5
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Abstract
Using the simple (symmetric) Hubbard dimer, we analyze some important features of the GW approximation. We show that the problem of the existence of multiple quasiparticle solutions in the (perturbative) one-shot GW method and its partially self-consistent version is solved by full self-consistency. We also analyze the neutral excitation spectrum using the Bethe-Salpeter equation (BSE) formalism within the standard GW approximation and find, in particular, that 1) some neutral excitation energies become complex when the electron-electron interaction U increases, which can be traced back to the approximate nature of the GW quasiparticle energies; 2) the BSE formalism yields accurate correlation energies over a wide range of U when the trace (or plasmon) formula is employed; 3) the trace formula is sensitive to the occurrence of complex excitation energies (especially singlet), while the expression obtained from the adiabatic-connection fluctuation-dissipation theorem (ACFDT) is more stable (yet less accurate); 4) the trace formula has the correct behavior for weak (i.e., small U) interaction, unlike the ACFDT expression.
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Affiliation(s)
- S. Di Sabatino
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS and ETSF, Toulouse, France
| | - P.-F. Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France
| | - P. Romaniello
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS and ETSF, Toulouse, France
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Di Sabatino S, Koskelo J, Prodhon J, Berger JA, Caffarel M, Romaniello P. Photoemission Spectra from the Extended Koopman's Theorem, Revisited. Front Chem 2021; 9:746735. [PMID: 34692643 PMCID: PMC8531815 DOI: 10.3389/fchem.2021.746735] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2021] [Accepted: 09/15/2021] [Indexed: 11/13/2022] Open
Abstract
The Extended Koopman's Theorem (EKT) provides a straightforward way to compute charged excitations from any level of theory. In this work we make the link with the many-body effective energy theory (MEET) that we derived to calculate the spectral function, which is directly related to photoemission spectra. In particular, we show that at its lowest level of approximation the MEET removal and addition energies correspond to the so-called diagonal approximation of the EKT. Thanks to this link, the EKT and the MEET can benefit from mutual insight. In particular, one can readily extend the EKT to calculate the full spectral function, and choose a more optimal basis set for the MEET by solving the EKT secular equation. We illustrate these findings with the examples of the Hubbard dimer and bulk silicon.
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Affiliation(s)
- S Di Sabatino
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France.,Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France.,European Theoretical Spectroscopy Facility (ETSF), Toulouse, France
| | - J Koskelo
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France.,European Theoretical Spectroscopy Facility (ETSF), Toulouse, France
| | - J Prodhon
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France
| | - J A Berger
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France.,European Theoretical Spectroscopy Facility (ETSF), Toulouse, France
| | - M Caffarel
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse, France
| | - P Romaniello
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France.,European Theoretical Spectroscopy Facility (ETSF), Toulouse, France
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Di Sabatino S, Verdozzi C, Romaniello P. Time dependent reduced density matrix functional theory at strong correlation: insights from a two-site Anderson impurity model. Phys Chem Chem Phys 2021; 23:16730-16738. [PMID: 34318826 DOI: 10.1039/d1cp01742j] [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
The one-body density matrix has recently attracted considerable attention as a promising key quantity for the description of systems out of equilibrium. Its time evolution is given in terms of the two-body density matrix, and thus the central challenge is to find approximations to the latter. An extra layer of difficulty is added when dealing with strong electron correlations. In this work, we explore precisely this regime by looking at the two-site Anderson impurity model as a case study. To address the system's dynamics, we use an adiabatic approximation based on the exact ground-state two-body density matrix. We find that this adiabatic extension does not reproduce the exact results even for a slow switch-on of the external perturbation, and we trace back this behavior to the lack of an accurate imaginary part of the adiabatic approximation to the two-body density matrix. The attempt to restore an approximate imaginary part through a Hilbert transform of the real part works well only for very short times, but quickly deteriorates for longer times, with the one-body density matrix being pushed out of its N-representability domain. Our results thus pose an important constraint on practical prescriptions to perform the time evolution of the one-body density matrix.
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Affiliation(s)
- Stefano Di Sabatino
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS and ETSF, 118 Route de Narbonne, F-31062 Toulouse, France
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Berger JA, Loos PF, Romaniello P. Potential Energy Surfaces without Unphysical Discontinuities: The Coulomb Hole Plus Screened Exchange Approach. J Chem Theory Comput 2020; 17:191-200. [DOI: 10.1021/acs.jctc.0c00896] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [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)
- J. Arjan Berger
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, and European Theoretical Spectroscopy Facility (ETSF), Toulouse 31062, France
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, Toulouse 31062, France
| | - Pina Romaniello
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, and European Theoretical Spectroscopy Facility (ETSF), Toulouse 31062, France
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Brandenburg JG, Burke K, Cancio A, Erhard J, Fromager E, Ghosal A, Gidopoulos N, Gori-Giorgi P, Helgaker T, Hourahine B, Jacob CR, Kooi D, Maitra N, Mulay MR, Pernal K, Pribram-Jones A, Reining L, Romaniello P, Ryder MR, Savin A, Skylaris CK, Teale AM, Tozer D, Truhlar DG, Yang W. New density-functional approximations and beyond: general discussion. Faraday Discuss 2020; 224:166-200. [PMID: 33232402 DOI: 10.1039/d0fd90023k] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Brandenburg JG, Burke K, Civalleri B, Cole DJ, Csányi G, David G, Gidopoulos NI, Gowland D, Helgaker T, Herbst MF, Hourahine B, Irons TJP, Jacob CR, Loos PF, Mehta N, Mulay MR, Neugebauer J, Pernal K, Pribram-Jones A, Romaniello P, Ryder MR, Savin A, Sirbu D, Skylaris CK, Truhlar DG, Wetherell J, Yang W. Challenges for large scale simulation: general discussion. Faraday Discuss 2020; 224:309-332. [PMID: 33227116 DOI: 10.1039/d0fd90024a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Brandenburg JG, Burke K, Fromager E, Gatti M, Giarrusso S, Gidopoulos NI, Gori-Giorgi P, Gowland D, Helgaker T, Hodgson MJP, Lacombe L, Levi G, Loos PF, Maitra NT, Maurina Morais E, Mehta N, Monti F, Mulay MR, Pernal K, Reining L, Romaniello P, Ryder MR, Savin A, Sirbu D, Teale AM, Thom AJW, Truhlar DG, Wetherell J, Yang W. New approaches to study excited states in density functional theory: general discussion. Faraday Discuss 2020; 224:483-508. [PMID: 33245076 DOI: 10.1039/d0fd90026e] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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12
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Abstract
The optical spectra of two-dimensional (2D) periodic systems provide a challenge for time-dependent density-functional theory (TDDFT) because of the large excitonic effects in these materials. In this work we explore how accurately these spectra can be described within a pure Kohn-Sham time-dependent density-functional framework, i.e., a framework in which no theory beyond Kohn-Sham density-functional theory, such as GW, is required to correct the Kohn-Sham gap. To achieve this goal we adapted a recent approach we developed for the optical spectra of 3D systems [S. Cavo, J. A. Berger and P. Romaniello, Phys. Rev. B, 2020, 101, 115109] to those of 2D systems. Our approach relies on the link between the exchange-correlation kernel of TDDFT and the derivative discontinuity of ground-state density-functional theory, which guarantees a correct quasi-particle gap, and on a generalization of the polarization functional [J. A. Berger, Phys. Rev. Lett., 2015, 115, 137402], which describes the excitonic effects. We applied our approach to two prototypical 2D monolayers, h-BN and MoS2. We find that our protocol gives a qualitatively good description of the optical spectrum of h-BN, whereas improvements are needed for MoS2 to describe the intensity of the excitonic peaks.
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Affiliation(s)
- S Di Sabatino
- Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, France.
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13
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Di Sabatino S, Berger JA, Romaniello P. Many-Body Effective Energy Theory: Photoemission at Strong Correlation. J Chem Theory Comput 2019; 15:5080-5086. [DOI: 10.1021/acs.jctc.9b00427] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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15
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Abstract
We report an exhaustive study of the performance of different variants of Green function methods for the spherium model in which two electrons are confined to the surface of a sphere and interact via a genuine long-range Coulomb operator. We show that the spherium model provides a unique paradigm to study electronic correlation effects from the weakly correlated regime to the strongly correlated regime, since the mathematics are simple while the physics is rich. We compare perturbative GW, partially self-consistent GW and second-order Green function (GF2) methods for the computation of ionization potentials, electron affinities, energy gaps, correlation energies as well as singlet and triplet neutral excitations by solving the Bethe-Salpeter equation (BSE). We discuss the problem of self-screening in GW and show that it can be partially solved with a second-order screened exchange correction (SOSEX). We find that, in general, self-consistency deteriorates the results with respect to those obtained within perturbative approaches with a Hartree-Fock starting point. Finally, we unveil an important problem of partial self-consistency in GW: in the weakly correlated regime, it can produce artificial discontinuities in the self-energy caused by satellite resonances with large weights.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques , Université de Toulouse, CNRS, UPS , 31062 Toulouse , France
| | - Pina Romaniello
- Laboratoire de Physique Théorique , Université de Toulouse, CNRS, UPS , 31062 Toulouse , France.,European Theoretical Spectroscopy Facility (ETSF)
| | - J A Berger
- Laboratoire de Chimie et Physique Quantiques , Université de Toulouse, CNRS, UPS , 31062 Toulouse , France.,European Theoretical Spectroscopy Facility (ETSF)
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Tarantino W, Mendoza BS, Romaniello P, Berger JA, Reining L. Many-body perturbation theory and non-perturbative approaches: screened interaction as the key ingredient. J Phys Condens Matter 2018; 30:135602. [PMID: 29498359 DOI: 10.1088/1361-648x/aaaeab] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Many-body perturbation theory is often formulated in terms of an expansion in the dressed instead of the bare Green's function, and in the screened instead of the bare Coulomb interaction. However, screening can be calculated on different levels of approximation, and it is important to define what is the most appropriate choice. We explore this question by studying a zero-dimensional model (so called 'one-point model') that retains the structure of the full equations. We study both linear and non-linear response approximations to the screening. We find that an expansion in terms of the screening in the random phase approximation is the most promising way for an application in real systems. Moreover, by making use of the nonperturbative features of the Kadanoff-Baym equation for the one-body Green's function, we obtain an approximate solution in our model that is very promising, although its applicability to real systems has still to be explored.
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Affiliation(s)
- Walter Tarantino
- Laboratoire des Solides Irradiés, Ecole Polytechnique, CNRS, CEA, Université Paris-Saclay, and European Theoretical Spectroscopy Facility (ETSF), F-91128 Palaiseau, France
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Abstract
Standard formulations of magnetic response properties, such as circular dichroism spectra, are plagued by gauge dependencies, which can lead to unphysical results. In this work, we present a general gauge-invariant and numerically efficient approach for the calculation of circular dichroism spectra from the current density. First we show that in this formulation the optical rotation tensor, the response function from which circular dichroism spectra can be obtained, is independent of the origin of the coordinate system. We then demonstrate that its trace is independent of the gauge origin of the vector potential. We also show how gauge invariance can be retained in practical calculations with finite basis sets. As an example, we explain how our method can be applied to time-dependent current-density-functional theory. Finally, we report gauge-invariant circular dichroism spectra obtained using the adiabatic local-density approximation. The circular dichroism spectra we thus obtain are in good agreement with experiment.
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Affiliation(s)
| | - Paul L de Boeij
- Faculty of Science and Technology, Physics of Interfaces and Nanomaterials, University of Twente , P.O. Box 217, 7500 AE Enschede, The Netherlands
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Di Sabatino S, Berger JA, Reining L, Romaniello P. Reduced density-matrix functional theory: Correlation and spectroscopy. J Chem Phys 2015; 143:024108. [DOI: 10.1063/1.4926327] [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: 11/14/2022] Open
Affiliation(s)
- S. Di Sabatino
- Laboratoire de Physique Théorique, CNRS, IRSAMC, Université Toulouse III–Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex, France and ETSF
| | - J. A. Berger
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université Toulouse III–Paul Sabatier, CNRS, 118 Route de Narbonne, 31062 Toulouse Cedex, France and ETSF
| | - L. Reining
- Laboratoire des Solides Irradiés, École Polytechnique, CNRS, CEA-DSM, 91128 Palaiseau, France and ETSF
| | - P. Romaniello
- Laboratoire de Physique Théorique, CNRS, IRSAMC, Université Toulouse III–Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex, France and ETSF
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Escartín JM, Vincendon M, Romaniello P, Dinh PM, Reinhard PG, Suraud E. Towards time-dependent current-density-functional theory in the non-linear regime. J Chem Phys 2015; 142:084118. [PMID: 25725723 DOI: 10.1063/1.4913291] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Time-Dependent Density-Functional Theory (TDDFT) is a well-established theoretical approach to describe and understand irradiation processes in clusters and molecules. However, within the so-called adiabatic local density approximation (ALDA) to the exchange-correlation (xc) potential, TDDFT can show insufficiencies, particularly in violently dynamical processes. This is because within ALDA the xc potential is instantaneous and is a local functional of the density, which means that this approximation neglects memory effects and long-range effects. A way to go beyond ALDA is to use Time-Dependent Current-Density-Functional Theory (TDCDFT), in which the basic quantity is the current density rather than the density as in TDDFT. This has been shown to offer an adequate account of dissipation in the linear domain when the Vignale-Kohn (VK) functional is used. Here, we go beyond the linear regime and we explore this formulation in the time domain. In this case, the equations become very involved making the computation out of reach; we hence propose an approximation to the VK functional which allows us to calculate the dynamics in real time and at the same time to keep most of the physics described by the VK functional. We apply this formulation to the calculation of the time-dependent dipole moment of Ca, Mg and Na2. Our results show trends similar to what was previously observed in model systems or within linear response. In the non-linear domain, our results show that relaxation times do not decrease with increasing deposited excitation energy, which sets some limitations to the practical use of TDCDFT in such a domain of excitations.
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Affiliation(s)
- J M Escartín
- Université de Toulouse, UPS, Laboratoire de Physique Théorique, IRSAMC, F-31062 Toulouse Cedex, France
| | - M Vincendon
- Université de Toulouse, UPS, Laboratoire de Physique Théorique, IRSAMC, F-31062 Toulouse Cedex, France
| | - P Romaniello
- Laboratoire de Physique Théorique, CNRS, IRSAMC, Université Toulouse III - Paul Sabatier and European Theoretical Spectroscopy Facility, 118 Route de Narbonne, 31062 Toulouse Cedex, France
| | - P M Dinh
- Université de Toulouse, UPS, Laboratoire de Physique Théorique, IRSAMC, F-31062 Toulouse Cedex, France
| | - P-G Reinhard
- Institut für Theoretische Physik, Universität Erlangen, Staudtstraße 7, D-91058 Erlangen, Germany
| | - E Suraud
- Université de Toulouse, UPS, Laboratoire de Physique Théorique, IRSAMC, F-31062 Toulouse Cedex, France
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Raimbault N, de Boeij PL, Romaniello P, Berger JA. Gauge-invariant calculation of static and dynamical magnetic properties from the current density. Phys Rev Lett 2015; 114:066404. [PMID: 25723234 DOI: 10.1103/physrevlett.114.066404] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2014] [Indexed: 06/04/2023]
Abstract
In this work we solve two problems related to the calculation of static and dynamical magnetic properties with ab initio theories. First, we show that the dependence of the dynamical magnetic dipole moment on the reference point of the multipole expansion and on the gauge origin of the vector potential have a clear physical significance. They are due to a dynamical electric dipole moment and an electric field, respectively. Both are fully determined by the experimental setup and do not pose any fundamental problem, contrary to what is commonly assumed. Second, in the static case, any dependence on the gauge origin is an artifact of the computational method. We show that the artificial dependence on the gauge origin can be removed in an elegant way by the introduction of a sum rule that puts the diamagnetic and paramagnetic contributions on equal footing. Our approach can be applied to calculate any magnetic observable that can be derived from the current density, and can be used in combination with any ab initio theory from which it can be obtained. To illustrate our method we apply it here to time-dependent current-density-functional theory for the calculation of static and dynamical magnetizabilities of molecules.
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Affiliation(s)
- Nathaniel Raimbault
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université Toulouse III - Paul Sabatier, CNRS and European Theoretical Spectroscopy Facility (ETSF), 118 Route de Narbonne, 31062 Toulouse Cedex, France and Laboratoire de Physique Théorique, CNRS, IRSAMC, Université Toulouse III - Paul Sabatier and European Theoretical Spectroscopy Facility (ETSF), 118 Route de Narbonne, 31062 Toulouse Cedex, France
| | - Paul L de Boeij
- Scientific Computing & Modeling NV, Vrije Universiteit, Theoretical Chemistry, De Boelelaan 1083, 1081 HV Amsterdam, Netherlands
| | - Pina Romaniello
- Laboratoire de Physique Théorique, CNRS, IRSAMC, Université Toulouse III - Paul Sabatier and European Theoretical Spectroscopy Facility (ETSF), 118 Route de Narbonne, 31062 Toulouse Cedex, France
| | - J A Berger
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université Toulouse III - Paul Sabatier, CNRS and European Theoretical Spectroscopy Facility (ETSF), 118 Route de Narbonne, 31062 Toulouse Cedex, France
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Guzzo M, Lani G, Sottile F, Romaniello P, Gatti M, Kas JJ, Rehr JJ, Silly MG, Sirotti F, Reining L. Valence electron photoemission spectrum of semiconductors: ab initio description of multiple satellites. Phys Rev Lett 2011; 107:166401. [PMID: 22107408 DOI: 10.1103/physrevlett.107.166401] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/01/2011] [Indexed: 05/31/2023]
Abstract
The experimental valence band photoemission spectrum of semiconductors exhibits multiple satellites that cannot be described by the GW approximation for the self-energy in the framework of many-body perturbation theory. Taking silicon as a prototypical example, we compare experimental high energy photoemission spectra with GW calculations and analyze the origin of the GW failure. We then propose an approximation to the functional differential equation that determines the exact one-body Green's function, whose solution has an exponential form. This yields a calculated spectrum, including cross sections, secondary electrons, and an estimate for extrinsic and interference effects, in excellent agreement with experiment. Our result can be recast as a dynamical vertex correction beyond GW, giving hints for further developments.
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Affiliation(s)
- Matteo Guzzo
- Laboratoire des Solides Irradiés, École Polytechnique, CNRS, CEA-DSM, F-91128 Palaiseau, France.
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Sangalli D, Romaniello P, Onida G, Marini A. Double excitations in correlated systems: a many–body approach. J Chem Phys 2011; 134:034124. [PMID: 21322970] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/30/2023] Open
Abstract
A coherent approach to the description of double excitations in correlated materials is presented: We derive stringent mathematical conditions on the algebraical structure of the Bethe–Salpeter and time-dependent density functional theory kernels that avoid the occurrence of spurious and nonphysical excitations. We discuss how these conditions need to be respected at any level of approximation, including the commonly used local density and static screening approximations. We propose a correlated kernel for the Bethe–Salpeter equation, and we illustrate several aspects of our approach with numerical calculations for model molecular systems.
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Affiliation(s)
- Davide Sangalli
- Consorzio Nazionale Interuniversitario per le Scienze dei Materiali, via della Vasca Navale 84, I-00146 Roma, Italy
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Romaniello P, D’Andria MC, Lelj F. Nonlinear Optical Properties of Ni(Me6pzS2)MX (M = Ni, Pd, Pt; X = Me2timdt, mnt). J Phys Chem A 2010; 114:5838-45. [DOI: 10.1021/jp911353n] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Romaniello P, Sangalli D, Berger JA, Sottile F, Molinari LG, Reining L, Onida G. Double excitations in finite systems. J Chem Phys 2009; 130:044108. [DOI: 10.1063/1.3065669] [Citation(s) in RCA: 85] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Romaniello P, de Boeij PL. Relativistic two-component formulation of time-dependent current-density functional theory: Application to the linear response of solids. J Chem Phys 2007; 127:174111. [DOI: 10.1063/1.2780146] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Romaniello P, Lelj F, Arca M, Devillanova FA. Structural and new spectroscopic properties of neutral $$[\hbox{M(dmit)}_{\bf 2}] (\hbox{dmit} = \hbox{C}_{\bf 3} \hbox{S}_{\bf 5}^{\bf 2-}$$ , 1,3-dithiole-2-thione-4,5-dithiolate) and $$[\hbox{M}(\hbox{H}_{\bf 2}\hbox{timdt})_{\bf 2}](\hbox{H}_{\bf 2}\hbox{timdt} = \hbox{H}_{\bf 2} \hbox{C}_{\bf 3} \hbox{N}_{\bf 2} \hbox{S}_{\bf 3}^{\bf 1-}$$ , monoanion of imidazolidine-2,4,5-trithione) complexes within the density functional approach. Theor Chem Acc 2007. [DOI: 10.1007/s00214-006-0194-1] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Romaniello P, de Boeij PL. The role of relativity in the optical response of gold within the time-dependent current-density-functional theory. J Chem Phys 2005; 122:164303. [PMID: 15945680 DOI: 10.1063/1.1884985] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We included relativistic effects in the formulation of the time-dependent current-density-functional theory for the calculation of linear response properties of metals [P. Romaniello and P. L. de Boeij, Phys. Rev. B (to be published)]. We treat the dominant scalar-relativistic effects using the zeroth-order regular approximation in the ground-state density-functional theory calculations, as well as in the time-dependent response calculations. The results for the dielectric function of gold calculated in the spectral range of 0-10 eV are compared with experimental data reported in literature and recent ellipsometric measurements. As well known, relativistic effects strongly influence the color of gold. We find that the onset of interband transitions is shifted from around 3.5 eV, obtained in a nonrelativistic calculation, to around 1.9 eV when relativity is included. With the inclusion of the scalar-relativistic effects there is an overall improvement of both real and imaginary parts of the dielectric function over the nonrelativistic ones. Nevertheless some important features in the absorption spectrum are not well reproduced, but can be explained in terms of spin-orbit coupling effects. The remaining deviations are attributed to the underestimation of the interband gap (5d-6sp band gap) in the local-density approximation and to the use of the adiabatic local-density approximation in the response calculation.
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Affiliation(s)
- P Romaniello
- Theoretical Chemistry, Materials Science Centre Rijksuniversiteit Groningen Nijenborgh 4, 9747 AG Groningen, The Netherlands
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Romaniello P, Aragoni MC, Arca M, Cassano T, Denotti C, Devillanova FA, Isaia F, Lelj F, Lippolis V, Tommasi R. Ground and Excited States of [M(H2timdt)2] Neutral Dithiolenes (M = Ni, Pd, Pt; H2timdt = Monoanion of Imidazolidine-2,4,5-trithione): Description within TDDFT and Scalar Relativistic (ZORA) Approaches. J Phys Chem A 2003. [DOI: 10.1021/jp034758r] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Pina Romaniello
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - M. C. Aragoni
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - M. Arca
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - T. Cassano
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - C. Denotti
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - F. A. Devillanova
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - F. Isaia
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - Francesco Lelj
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - V. Lippolis
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
| | - R. Tommasi
- LAMI Dipartimento di Chimica and LASCAMM-INSTM Sezione Basilicata, Universitá della Basilicata, Via N. Sauro, 85100 Potenza, Italy, Dipartimento di Chimica Inorganica ed Analitica, S.S. 554 Bivio per Sestu, 09042 Monserrato-Cagliari, Italy, and Dipartimento di Fisica, Via G. Amendola 173, 1-70126 Bari, Italy
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Romaniello P, Lelj F. Limits in the second-order response of [M(H2imXdt) (H2imYdt)] neutral complexes (M=Ni, Pd, Pt; H2imXdt=monoanion of imidazolidine-2-chalcogenone-4,5-dithione; X=O, S, Se; Y=O, S, Se; X≠Y): a pure theoretical study based on TD-DFT approach and ZORA formalism. ACTA ACUST UNITED AC 2003. [DOI: 10.1016/s0166-1280(03)00349-x] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Aragoni M, Arca M, Cassano T, Denotti C, Devillanova F, Frau R, Isaia F, Lelj F, Lippolis V, Nitti L, Romaniello P, Tommasi R, Verani G. NIR Dyes Based on [M(R,R′timdt)2] Metal-Dithiolenes: Additivity of M, R, and R′ Contributions To Tune the NIR Absorption (M = Ni, Pd, Pt; R,R′timdt = Monoreduced Form of Disubstituted Imidazolidine-2,4,5-trithione). Eur J Inorg Chem 2003. [DOI: 10.1002/ejic.200200602] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Cassano T, Tommasi R, Nitti L, Aragoni MC, Arca M, Denotti C, Devillanova FA, Isaia F, Lippolis V, Lelj F, Romaniello P. Picosecond absorption saturation dynamics in neutral [M(R,R′timdt)2] metal-dithiolenes. J Chem Phys 2003. [DOI: 10.1063/1.1556612] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Romaniello P, Lelj F. Optical non-linear properties of the [MXY] neutral mixed-ligand dithiolenes (M=Ni, Pd, Pt; X=R2timdt, dmit, mnt; Y=R2timdt, dmit, mnt; X≠Y). The role of coordinated metal, substituents and of high lying excited states. Chem Phys Lett 2003. [DOI: 10.1016/s0009-2614(03)00356-7] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Romaniello P, Lelj F. Halogen Bond in (CH3)nX (X = N, P, n = 3; X = S, n = 2) and (CH3)nXO (X = N, P, n = 3; X = S, n = 2) Adducts with CF3I. Structural and Energy Analysis Including Relativistic Zero-Order Regular Approximation Approach in a Density Functional Theory Framework. J Phys Chem A 2002. [DOI: 10.1021/jp0255334] [Citation(s) in RCA: 73] [Impact Index Per Article: 3.3] [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)
- Pina Romaniello
- LaMI Dipartimento di Chimica and LaSCAMM, INSTM Sezione Basilicata, Università della Basilicata, Via N. Sauro 85, 85100 Potenza, Italy
| | - Francesco Lelj
- LaMI Dipartimento di Chimica and LaSCAMM, INSTM Sezione Basilicata, Università della Basilicata, Via N. Sauro 85, 85100 Potenza, Italy
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