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Cooper BC, Koulias LN, Nascimento DR, Li X, DePrince AE. Short Iterative Lanczos Integration in Time-Dependent Equation-of-Motion Coupled-Cluster Theory. J Phys Chem A 2021; 125:5438-5447. [PMID: 34121405 DOI: 10.1021/acs.jpca.1c01102] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
A time-dependent (TD) formulation of equation-of-motion coupled-cluster (EOM-CC) theory can provide excited-state information over an arbitrarily wide energy window with a reduced memory footprint relative to conventional, frequency-domain EOM-CC theory. However, the floating-point costs of the time-integration required by TD-EOM-CC are generally far larger than those of the frequency-domain form of the approach. This work considers the potential of the short iterative Lanczos (SIL) integration scheme [J. Chem. Phys. 1986, 85, 5870-5876] to reduce the floating-point costs of TD-EOM-CC simulations. Low-energy and K-edge absorption features for small molecules are evaluated using TD-EOM-CC with single and double excitations, with the time-integrations carried out via SIL and fourth-order Runge-Kutta (RK4) schemes. Spectra derived from SIL- and RK4-driven simulations are nearly indistinguishable, and with an appropriately chosen subspace dimension, the SIL requires far fewer floating-point operations than are required by RK4. For K-edge spectra, SIL is the more efficient scheme by an average factor of 7.2.
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Affiliation(s)
- Brandon C Cooper
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
| | - Lauren N Koulias
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Daniel R Nascimento
- Department of Chemistry, The University of Memphis, Memphis, Tennessee 38152, United States
| | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - A Eugene DePrince
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
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2
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Li X, Govind N, Isborn C, DePrince AE, Lopata K. Real-Time Time-Dependent Electronic Structure Theory. Chem Rev 2020; 120:9951-9993. [DOI: 10.1021/acs.chemrev.0c00223] [Citation(s) in RCA: 64] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195-1700, United States
| | - Niranjan Govind
- Physical and Computational Sciences Directorate, Pacific Northwest National Laboratory, Richland, Washington 99354, United States
| | - Christine Isborn
- Department of Chemistry and Chemical Biology, University of California, Merced, California 95343, United States
| | - A. Eugene DePrince
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
| | - Kenneth Lopata
- Department of Chemistry, Louisiana State University, Baton Rouge, Louisiana 70803, United States
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3
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Nascimento DR, DePrince AE. A general time-domain formulation of equation-of-motion coupled-cluster theory for linear spectroscopy. J Chem Phys 2019; 151:204107. [DOI: 10.1063/1.5125494] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Affiliation(s)
- Daniel R. Nascimento
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA
| | - A. Eugene DePrince
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA
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4
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Liu H, Jenkins AJ, Wildman A, Frisch MJ, Lipparini F, Mennucci B, Li X. Time-Dependent Complete Active Space Embedded in a Polarizable Force Field. J Chem Theory Comput 2019; 15:1633-1641. [DOI: 10.1021/acs.jctc.8b01152] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- Hongbin Liu
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Andrew J. Jenkins
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Andrew Wildman
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Michael J. Frisch
- Gaussian Inc., 340 Quinnipiac Street, Building 40, Wallingford, Connecticut 06492, United States
| | - Filippo Lipparini
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via Risorgimento 35, 56126 Pisa, Italy
| | - Benedetta Mennucci
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via Risorgimento 35, 56126 Pisa, Italy
| | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
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5
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Bruner A, Hernandez S, Mauger F, Abanador PM, LaMaster DJ, Gaarde MB, Schafer KJ, Lopata K. Attosecond Charge Migration with TDDFT: Accurate Dynamics from a Well-Defined Initial State. J Phys Chem Lett 2017; 8:3991-3996. [PMID: 28792225 DOI: 10.1021/acs.jpclett.7b01652] [Citation(s) in RCA: 46] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
We investigate the ability of time-dependent density functional theory (TDDFT) to capture attosecond valence electron dynamics resulting from sudden X-ray ionization of a core electron. In this special case the initial state can be constructed unambiguously, allowing for a simple test of the accuracy of the dynamics. The response following nitrogen K-edge ionization in nitrosobenzene shows excellent agreement with fourth-order algebraic diagrammatic construction (ADC(4)) results, suggesting that a properly chosen initial state allows TDDFT to adequately capture attosecond charge migration. Visualizing hole motion using an electron localization picture (ELF), we provide an intuitive chemical interpretation of the charge migration as a superposition of Lewis dot resonance structures.
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Affiliation(s)
- Adam Bruner
- Department of Chemistry, Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Samuel Hernandez
- Department of Chemistry, Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - François Mauger
- Department of Physics and Astronomy, Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Paul M Abanador
- Department of Physics and Astronomy, Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Daniel J LaMaster
- Department of Chemistry, Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Mette B Gaarde
- Department of Physics and Astronomy, Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Kenneth J Schafer
- Department of Physics and Astronomy, Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Kenneth Lopata
- Department of Chemistry, Louisiana State University , Baton Rouge, Louisiana 70803, United States
- Center for Computation & Technology, Louisiana State University , Baton Rouge, Louisiana 70803, United States
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6
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Koh KJ, Nguyen-Beck TS, Parkhill J. Accelerating Realtime TDDFT with Block-Orthogonalized Manby–Miller Embedding Theory. J Chem Theory Comput 2017; 13:4173-4178. [DOI: 10.1021/acs.jctc.7b00494] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kevin J. Koh
- Department of Chemistry and
Biochemistry, The University of Notre Dame, 251 Nieuwland Science Hall, Notre Dame, Indiana 46556, United States
| | - Triet S. Nguyen-Beck
- Department of Chemistry and
Biochemistry, The University of Notre Dame, 251 Nieuwland Science Hall, Notre Dame, Indiana 46556, United States
| | - John Parkhill
- Department of Chemistry and
Biochemistry, The University of Notre Dame, 251 Nieuwland Science Hall, Notre Dame, Indiana 46556, United States
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Nascimento DR, DePrince AE. Linear Absorption Spectra from Explicitly Time-Dependent Equation-of-Motion Coupled-Cluster Theory. J Chem Theory Comput 2016; 12:5834-5840. [DOI: 10.1021/acs.jctc.6b00796] [Citation(s) in RCA: 52] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Daniel R. Nascimento
- Department of Chemistry and
Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
| | - A. Eugene DePrince
- Department of Chemistry and
Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
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Bruner A, LaMaster D, Lopata K. Accelerated Broadband Spectra Using Transition Dipole Decomposition and Padé Approximants. J Chem Theory Comput 2016; 12:3741-50. [DOI: 10.1021/acs.jctc.6b00511] [Citation(s) in RCA: 68] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Adam Bruner
- Department
of Chemistry, Louisiana State University, Baton Rouge, Louisiana 70803, United States
| | - Daniel LaMaster
- Department
of Chemistry, Louisiana State University, Baton Rouge, Louisiana 70803, United States
| | - Kenneth Lopata
- Department
of Chemistry, Louisiana State University, Baton Rouge, Louisiana 70803, United States
- Center for Computation & Technology, Louisiana State University, Baton Rouge, Louisiana 70803, United States
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Bryant GW. Approaching the quantum limit for plasmonics: linear atomic chains. JOURNAL OF OPTICS (2010) 2016; 18:10.1088/2040-8978/18/7/074001. [PMID: 32117560 PMCID: PMC7047738 DOI: 10.1088/2040-8978/18/7/074001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
Optical excitations in atomic-scale materials can be strongly mixed, with contributions from both single-particle transitions and collective response. This complicates the quantum description of these excitations, because there is no clear way to define their quantization. To develop a quantum theory for these optical excitations, they must first be characterized so that single-particle-like and collective excitations can be identified. Linear atomic chains, such as atom chains on surfaces, linear arrays of dopant atoms in semiconductors, or linear molecules, provide ideal testbeds for studying collective excitations in small atomic-scale systems. We use exact diagonalization to study the many-body excitations of finite (10 to 25) linear atomic chains described by a simplified model Hamiltonian. Exact diagonalization results can be very different from the density functional theory (DFT) results usually obtained. Highly correlated, multiexcitonic states, strongly dependent on the electron-electron interaction strength, dominate the exact spectral and optical response but are not present in DFT excitation spectra. The ubiquitous presence of excitonic many-body states in the spectra makes it hard to identify plasmonic excitations. A combination of criteria involving a many-body state's transfer dipole moment, balance, transfer charge, dynamical response, and induced-charge distribution do strongly suggest which many-body states should be considered as plasmonic. This analysis can be used to reveal the few plasmonic many-body states hidden in the dense spectrum of low-energy single-particle-like states and many higher-energy excitonic-like states. These excitonic states are the predominant excitation because of the many possible ways to develop local correlations.
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Affiliation(s)
- Garnett W Bryant
- Quantum Measurement Division and Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg, MD, 20899-8423, USA; University of Maryland, College Park, MD 20742, USA
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El Khatib M, Brea O, Fertitta E, Bendazzoli GL, Evangelisti S, Leininger T. The total position-spread tensor: Spin partition. J Chem Phys 2015; 142:094113. [DOI: 10.1063/1.4913734] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Muammar El Khatib
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
| | - Oriana Brea
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
- Departamento de Química, Facultad de Ciencias, Módulo 13, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
| | - Edoardo Fertitta
- Institut für Chemie und Biochemie - Physikalische und Theoretische Chemie, Freie Universität Berlin, Takustr. 3, D-14195 Berlin, Germany
| | - Gian Luigi Bendazzoli
- Dipartimento di Chimica Industriale “Toso Montanari”, Università di Bologna, Viale Risorgimento 4, I–40136 Bologna, Italy
| | - Stefano Evangelisti
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
| | - Thierry Leininger
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
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Krauter CM, Schirmer J, Jacob CR, Pernpointner M, Dreuw A. Plasmons in molecules: Microscopic characterization based on orbital transitions and momentum conservation. J Chem Phys 2014; 141:104101. [DOI: 10.1063/1.4894266] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
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12
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Ding F, Guidez EB, Aikens CM, Li X. Quantum coherent plasmon in silver nanowires: A real-time TDDFT study. J Chem Phys 2014; 140:244705. [DOI: 10.1063/1.4884388] [Citation(s) in RCA: 51] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023] Open
Affiliation(s)
- Feizhi Ding
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
| | - Emilie B. Guidez
- Department of Chemistry, Kansas State University, Manhattan, Kansas 66506, USA
| | - Christine M. Aikens
- Department of Chemistry, Kansas State University, Manhattan, Kansas 66506, USA
| | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
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