1
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Ghalami F, Dohmen PM, Krämer M, Elstner M, Xie W. Nonadiabatic Simulation of Exciton Dynamics in Organic Semiconductors Using Neural Network-Based Frenkel Hamiltonian and Gradients. J Chem Theory Comput 2024. [PMID: 38976696 DOI: 10.1021/acs.jctc.4c00220] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/10/2024]
Abstract
In this study, we present a multiscale method to simulate the propagation of Frenkel singlet excitons in organic semiconductors (OSCs). The approach uses neural network models to train a Frenkel-type Hamiltonian and its gradient, obtained by the long-range correction version of density functional tight-binding with self-consistent charges. Our models accurately predict site energies, excitonic couplings, and corresponding gradients, essential for the nonadiabatic molecular dynamics simulations. Combined with the fewest switches surface hopping algorithm, the method was applied to four representative OSCs: anthracene, pentacene, perylenediimide, and diindenoperylene. The simulated exciton diffusion constants align well with experimental and reported theoretical values and offer valuable insights into exciton dynamics in OSCs.
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Affiliation(s)
- Farhad Ghalami
- Institute of Physical Chemistry (IPC), Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany
- Institute of Nano Technology (INT), Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
| | - Philipp M Dohmen
- Institute of Physical Chemistry (IPC), Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany
| | - Mila Krämer
- Institute of Physical Chemistry (IPC), Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany
| | - Marcus Elstner
- Institute of Physical Chemistry (IPC), Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany
- Institute of Nano Technology (INT), Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
- Institute of Biological Interfaces (IBG-2), Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany
| | - Weiwei Xie
- Frontiers Science Center for New Organic Matter, Key Laboratory of Advanced Energy Materials Chemistry (Ministry of Education), State Key Laboratory of Advanced Chemical Power Sources, College of Chemistry, Nankai University, Tianjin 300071, China
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2
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Stojanovic L, Giannini S, Blumberger J. Exciton Transport in the Nonfullerene Acceptor O-IDTBR from Nonadiabatic Molecular Dynamics. J Chem Theory Comput 2024. [PMID: 38967252 DOI: 10.1021/acs.jctc.4c00605] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/06/2024]
Abstract
Theory, computation, and experiment have given strong evidence that charge carriers in organic molecular crystals form partially delocalized quantum objects that diffuse very efficiently via a mechanism termed transient delocalization. It is currently unclear how prevalent this mechanism is for exciton transport. Here we carry out simulation of singlet Frenkel excitons (FE) in a molecular organic semiconductor that belongs to the class of nonfullerene acceptors, O-IDTBR, using the recently introduced FE surface hopping nonadiabatic molecular dynamics method. We find that FE are, on average, localized on a single molecule in the crystal due to sizable reorganization energy and moderate excitonic couplings. Yet, our simulations suggest that the diffusion mechanism is more complex than simple local hopping; in addition to hopping, we observe frequent transient delocalization events where the exciton wave function expands over 10 or more molecules for a short period of time in response to thermal excitations within the excitonic band, followed by de-excitation and contraction onto a single molecule. The transient delocalization events lead to an increase in the diffusion constant by a factor of 3-4, depending on the crystallographic direction as compared to the situation where only local hopping events are considered. Intriguingly, O-IDTBR appears to be a moderately anisotropic 3D "conductor" for excitons but a highly anisotropic 2D conductor for electrons. Taken together with previous simulation results, two trends seem to emerge for molecular organic crystals: excitons tend to be more localized and slower than charge carriers due to higher internal reorganization energy, while exciton transport tends to be more isotropic than charge transport due to the weaker distance dependence of excitonic versus electronic coupling.
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Affiliation(s)
- Ljiljana Stojanovic
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, U.K
| | - Samuele Giannini
- Institute of Chemistry of OrganoMetallic Compounds, National Research Council (ICCOM-CNR), Pisa I-56124, Italy
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, U.K
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3
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Mannouch JR, Kelly A. Quantum Quality with Classical Cost: Ab Initio Nonadiabatic Dynamics Simulations Using the Mapping Approach to Surface Hopping. J Phys Chem Lett 2024; 15:5814-5823. [PMID: 38781480 PMCID: PMC11163471 DOI: 10.1021/acs.jpclett.4c00535] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2024] [Revised: 05/07/2024] [Accepted: 05/09/2024] [Indexed: 05/25/2024]
Abstract
Nonadiabatic dynamics methods are an essential tool for investigating photochemical processes. In the context of employing first-principles electronic structure techniques, such simulations can be carried out in a practical manner using semiclassical trajectory-based methods or wave packet approaches. While all approaches applicable to first-principles simulations are necessarily approximate, it is commonly thought that wave packet approaches offer inherent advantages over their semiclassical counterparts in terms of accuracy and that this trait simply comes at a higher computational cost. Here we demonstrate that the mapping approach to surface hopping (MASH), a recently introduced trajectory-based nonadiabatic dynamics method, can be efficiently applied in tandem with ab initio electronic structure. Our results even suggest that MASH may provide more accurate results than on-the-fly wave packet techniques, all at a much lower computational cost.
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Affiliation(s)
- Jonathan R. Mannouch
- Hamburg Center for Ultrafast
Imaging, Universität Hamburg and
the Max Planck Institute
for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Aaron Kelly
- Hamburg Center for Ultrafast
Imaging, Universität Hamburg and
the Max Planck Institute
for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
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4
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Lee IS, Filatov M, Min SK. Formulation of transition dipole gradients for non-adiabatic dynamics with polaritonic states. J Chem Phys 2024; 160:154103. [PMID: 38624116 DOI: 10.1063/5.0202095] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/02/2024] [Accepted: 03/31/2024] [Indexed: 04/17/2024] Open
Abstract
A general formulation of the strong coupling between photons confined in a cavity and molecular electronic states is developed for the state-interaction state-average spin-restricted ensemble-referenced Kohn-Sham method. The light-matter interaction is included in the Jaynes-Cummings model, which requires the derivation and implementation of the analytical derivatives of the transition dipole moments between the molecular electronic states. The developed formalism is tested in the simulations of the nonadiabatic dynamics in the polaritonic states resulting from the strong coupling between the cavity photon mode and the ground and excited states of the penta-2,4-dieniminium cation, also known as PSB3. Comparison with the field-free simulations of the excited-state decay dynamics in PSB3 reveals that the light-matter coupling can considerably alter the decay dynamics by increasing the excited state lifetime and hindering photochemically induced torsion about the C=C double bonds of PSB3. The necessity of obtaining analytical transition dipole gradients for the accurate propagation of the dynamics is underlined.
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Affiliation(s)
- In Seong Lee
- Center for Multidimensional Carbon Materials (CMCM), Institute for Basic Science (IBS), Ulsan 44919, Republic of Korea
| | - Michael Filatov
- Center for Multidimensional Carbon Materials (CMCM), Institute for Basic Science (IBS), Ulsan 44919, Republic of Korea
| | - Seung Kyu Min
- Center for Multidimensional Carbon Materials (CMCM), Institute for Basic Science (IBS), Ulsan 44919, Republic of Korea
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan 44919, Republic of Korea
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5
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Dupuy L, Rikus A, Maitra NT. Exact-Factorization-Based Surface Hopping without Velocity Adjustment. J Phys Chem Lett 2024:2643-2649. [PMID: 38422391 DOI: 10.1021/acs.jpclett.4c00115] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/02/2024]
Abstract
While surface hopping has emerged as a powerful method for simulating non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in the algorithm somewhat reduces its reliability. Here we propose a new scheme that eliminates these aspects by combining the nuclear equation from the quantum-trajectory surface-hopping approach with the electronic equation derived from the exact-factorization approach. The resulting method, denoted QTSH-XF, yields a surface-hopping method on firmer ground than previous and is shown to successfully capture dynamics in Tully models and in a linear vibronic coupling model of the photoexcited uracil cation.
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Affiliation(s)
- Lucien Dupuy
- Department of Physics, Rutgers University, Newark, New Jersey 07102, United States
| | - Anton Rikus
- Department of Physics, Rutgers University, Newark, New Jersey 07102, United States
- University of Münster, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, 48149 Münster, Germany
| | - Neepa T Maitra
- Department of Physics, Rutgers University, Newark, New Jersey 07102, United States
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6
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Lin HH, Wang CI, Yang CH, Secario MK, Hsu CP. Two-Step Machine Learning Approach for Charge-Transfer Coupling with Structurally Diverse Data. J Phys Chem A 2024; 128:271-280. [PMID: 38157315 DOI: 10.1021/acs.jpca.3c04524] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2024]
Abstract
Electronic coupling is important in determining charge-transfer rates and dynamics. Coupling strength is sensitive to both intermolecular, e.g., orientation or distance, and intramolecular degrees of freedom. Hence, it is challenging to build an accurate machine learning model to predict electronic coupling of molecular pairs, especially for those derived from the amorphous phase, for which intermolecular configurations are much more diverse than those derived from crystals. In this work, we devise a new prediction algorithm that employs two consecutive KRR models. The first model predicts molecular orbitals (MOs) from structural variation for each fragment, and coupling is further predicted by using the overlap integral included in a second model. With our two-step procedure, we achieved mean absolute errors of 0.27 meV for an ethylene dimer and 1.99 meV for a naphthalene pair, much improved accuracy amounting to 14-fold and 3-fold error reductions, respectively. In addition, MOs from the first model can also be the starting point to obtain other quantum chemical properties from atomistic structures. This approach is also compatible with a MO predictor with sufficient accuracy.
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Affiliation(s)
- Hung-Hsuan Lin
- Institute of Chemistry, Academia Sinica, 128 Section 2 Academia Road, Nankang, Taipei 115, Taiwan
- Molecular Science and Digital Innovation Center, Genetics Generation Advancement Corp, No. 28, Ln. 36, Xinhu First Rd., Neihu, Taipei 114, Taiwan
| | - Chun-I Wang
- Institute of Chemistry, Academia Sinica, 128 Section 2 Academia Road, Nankang, Taipei 115, Taiwan
- Department of Chemistry, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, United States
| | - Chou-Hsun Yang
- Institute of Chemistry, Academia Sinica, 128 Section 2 Academia Road, Nankang, Taipei 115, Taiwan
| | - Muhammad Khari Secario
- Institute of Chemistry, Academia Sinica, 128 Section 2 Academia Road, Nankang, Taipei 115, Taiwan
- Taiwan International Graduate Program on Sustainable Chemical Science & Technology, Academia Sinica Institute of Chemistry, 128 Academia Road Sec.2, Nankang, Taipei 115, Taiwan
- Department of Applied Chemistry, National Yang Ming Chiao Tung University, 1001 University Road, Hsinchu 300, Taiwan
| | - Chao-Ping Hsu
- Institute of Chemistry, Academia Sinica, 128 Section 2 Academia Road, Nankang, Taipei 115, Taiwan
- Division of Physics, National Center for Theoretical Sciences, 1, Section 4, Roosevelt Road, Taipei 106, Taiwan
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7
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Carey RL, Giannini S, Schott S, Lemaur V, Xiao M, Prodhan S, Wang L, Bovoloni M, Quarti C, Beljonne D, Sirringhaus H. Spin relaxation of electron and hole polarons in ambipolar conjugated polymers. Nat Commun 2024; 15:288. [PMID: 38177094 PMCID: PMC10767019 DOI: 10.1038/s41467-023-43505-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2023] [Accepted: 11/09/2023] [Indexed: 01/06/2024] Open
Abstract
The charge-transport properties of conjugated polymers have been studied extensively for opto-electronic device applications. Some polymer semiconductors not only support the ambipolar transport of electrons and holes, but do so with comparable carrier mobilities. This opens the possibility of gaining deeper insight into the charge-transport physics of these complex materials via comparison between electron and hole dynamics while keeping other factors, such as polymer microstructure, equal. Here, we use field-induced electron spin resonance spectroscopy to compare the spin relaxation behavior of electron and hole polarons in three ambipolar conjugated polymers. Our experiments show unique relaxation regimes as a function of temperature for electrons and holes, whereby at lower temperatures electrons relax slower than holes, but at higher temperatures, in the so-called spin-shuttling regime, the trend is reversed. On the basis of theoretical simulations, we attribute this to differences in the delocalization of electron and hole wavefunctions and show that spin relaxation in the spin shuttling regimes provides a sensitive probe of the intimate coupling between charge and structural dynamics.
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Affiliation(s)
- Remington L Carey
- Cavendish Laboratory, University of Cambridge, Cambridge, CB3 0HE, UK
| | - Samuele Giannini
- Laboratory for Chemistry of Novel Materials, University of Mons, 7000, Mons, Belgium
- Institute of Chemistry of OrganoMetallic Compounds, National Research Council (ICCOM-CNR), I-56124, Pisa, Italy
| | - Sam Schott
- Cavendish Laboratory, University of Cambridge, Cambridge, CB3 0HE, UK
| | - Vincent Lemaur
- Laboratory for Chemistry of Novel Materials, University of Mons, 7000, Mons, Belgium
| | - Mingfei Xiao
- Cavendish Laboratory, University of Cambridge, Cambridge, CB3 0HE, UK
| | - Suryoday Prodhan
- Department of Chemistry, University of Liverpool, Liverpool, L69 3BX, UK
| | - Linjun Wang
- Key Laboratory of Excited-State Materials of Zhejiang Province, Department of Chemistry, Zhejiang University, Hangzhou, 310058, China
| | - Michelangelo Bovoloni
- Laboratory for Chemistry of Novel Materials, University of Mons, 7000, Mons, Belgium
| | - Claudio Quarti
- Laboratory for Chemistry of Novel Materials, University of Mons, 7000, Mons, Belgium
| | - David Beljonne
- Laboratory for Chemistry of Novel Materials, University of Mons, 7000, Mons, Belgium
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8
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Dines A, Ellis M, Blumberger J. Stabilized coupled trajectory mixed quantum-classical algorithm with improved energy conservation: CTMQC-EDI. J Chem Phys 2023; 159:234118. [PMID: 38117021 DOI: 10.1063/5.0183589] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2023] [Accepted: 11/26/2023] [Indexed: 12/21/2023] Open
Abstract
Coupled trajectory mixed quantum-classical (CTMQC) dynamics is a rigorous approach to trajectory-based non-adiabatic dynamics, which has recently seen an improvement to energy conservation via the introduction of the CTMQC-E algorithm. Despite this, the method's two key quantities distinguishing it from Ehrenfest dynamics, the modified Born-Oppenheimer momentum and the quantum momentum, require regularization procedures in certain circumstances. Such procedures in the latter can cause instabilities, leading to undesirable effects, such as energy drift and spurious population transfer, which is expected to become increasingly prevalent when the system gets larger as such events would happen more frequently. We propose a further modification to CTMQC-E, which includes a redefinition of the quantum momentum, CTMQC-EDI (double intercept), such that it has no formal divergences. We then show for Tully models I-III and the double arch model that the algorithm has greatly improved total energy conservation and negligible spurious population transfer at all times, in particular in regions of strong non-adiabatic coupling. CTMQC-EDI, therefore, shows promise as a numerically robust non-adiabatic dynamics technique that accounts for decoherence from first principles and that is scalable to large molecular systems and materials.
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Affiliation(s)
- Aaron Dines
- Department of Physics and Astronomy and Thomas Young Centre, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Matthew Ellis
- Department of Physics and Astronomy and Thomas Young Centre, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre, University College London, Gower Street, London WC1E 6BT, United Kingdom
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9
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Arribas EV, Ibele LM, Lauvergnat D, Maitra NT, Agostini F. Significance of Energy Conservation in Coupled-Trajectory Approaches to Nonadiabatic Dynamics. J Chem Theory Comput 2023; 19:7787-7800. [PMID: 37853509 DOI: 10.1021/acs.jctc.3c00845] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2023]
Abstract
Through approximating electron-nuclear correlation terms in the exact factorization approach, trajectory-based methods have been derived and successfully applied to the dynamics of a variety of light-induced molecular processes, capturing quantum (de)coherence effects rigorously. These terms account for the coupling among the trajectories, recovering the nonlocal nature of quantum nuclear dynamics that is completely overlooked in traditional independent-trajectory algorithms. Nevertheless, some of the approximations introduced in the derivation of some of these methods do not conserve the total energy. We analyze energy conservation in the coupled-trajectory mixed quantum-classical (CTMQC) algorithm and explore the performance of a modified algorithm, CTMQC-E, where some of the terms are redefined to restore energy conservation. A set of molecular models is used as a test, namely, 2-cis-penta-2,4-dienimium cation, bis(methylene) adamantyl radical cation, butatriene cation, uracil radical cation, and neutral pyrazine.
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Affiliation(s)
| | - Lea M Ibele
- Université Paris-Saclay, CNRS, Institut de Chimie Physique UMR8000, 91405 Orsay, France
| | - David Lauvergnat
- Université Paris-Saclay, CNRS, Institut de Chimie Physique UMR8000, 91405 Orsay, France
| | - Neepa T Maitra
- Department of Physics, Rutgers University, Newark, New Jersey 07102, United States
| | - Federica Agostini
- Université Paris-Saclay, CNRS, Institut de Chimie Physique UMR8000, 91405 Orsay, France
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10
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Giannini S, Di Virgilio L, Bardini M, Hausch J, Geuchies JJ, Zheng W, Volpi M, Elsner J, Broch K, Geerts YH, Schreiber F, Schweicher G, Wang HI, Blumberger J, Bonn M, Beljonne D. Transiently delocalized states enhance hole mobility in organic molecular semiconductors. NATURE MATERIALS 2023; 22:1361-1369. [PMID: 37709929 DOI: 10.1038/s41563-023-01664-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/13/2022] [Accepted: 08/14/2023] [Indexed: 09/16/2023]
Abstract
Evidence shows that charge carriers in organic semiconductors self-localize because of dynamic disorder. Nevertheless, some organic semiconductors feature reduced mobility at increasing temperature, a hallmark for delocalized band transport. Here we present the temperature-dependent mobility in two record-mobility organic semiconductors: dinaphtho[2,3-b:2',3'-f]thieno[3,2-b]-thiophene (DNTT) and its alkylated derivative, C8-DNTT-C8. By combining terahertz photoconductivity measurements with atomistic non-adiabatic molecular dynamics simulations, we show that while both crystals display a power-law decrease of the mobility (μ) with temperature (T) following μ ∝ T -n, the exponent n differs substantially. Modelling reveals that the differences between the two chemically similar semiconductors can be traced to the delocalization of the different states that are thermally accessible by charge carriers, which in turn depends on their specific electronic band structure. The emerging picture is that of holes surfing on a dynamic manifold of vibrationally dressed extended states with a temperature-dependent mobility that provides a sensitive fingerprint for the underlying density of states.
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Affiliation(s)
- Samuele Giannini
- Laboratory for Chemistry of Novel Materials, University of Mons, Mons, Belgium.
| | | | - Marco Bardini
- Laboratory for Chemistry of Novel Materials, University of Mons, Mons, Belgium
| | - Julian Hausch
- Institut für Angewandte Physik, Universität Tübingen, Tübingen, Germany
| | | | - Wenhao Zheng
- Max Planck Institute for Polymer Research, Mainz, Germany
| | - Martina Volpi
- Laboratoire de Chimie des Polymères, Faculté des Sciences, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
| | - Jan Elsner
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, UK
| | - Katharina Broch
- Institut für Angewandte Physik, Universität Tübingen, Tübingen, Germany
| | - Yves H Geerts
- Laboratoire de Chimie des Polymères, Faculté des Sciences, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
- International Solvay Institutes for Physics and Chemistry, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
| | - Frank Schreiber
- Institut für Angewandte Physik, Universität Tübingen, Tübingen, Germany
| | - Guillaume Schweicher
- Laboratoire de Chimie des Polymères, Faculté des Sciences, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
| | - Hai I Wang
- Max Planck Institute for Polymer Research, Mainz, Germany.
- Nanophotonics, Debye Institute for Nanomaterials Science, Utrecht University, Utrecht, The Netherlands.
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, UK
| | - Mischa Bonn
- Max Planck Institute for Polymer Research, Mainz, Germany.
| | - David Beljonne
- Laboratory for Chemistry of Novel Materials, University of Mons, Mons, Belgium.
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11
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Coffman AJ, Jin Z, Chen J, Subotnik JE, Cofer-Shabica DV. Use of QM/MM Surface Hopping Simulations to Understand Thermally Activated Rare-Event Nonadiabatic Transitions in the Condensed Phase. J Chem Theory Comput 2023; 19:7136-7150. [PMID: 37811904 DOI: 10.1021/acs.jctc.3c00276] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/10/2023]
Abstract
We implement a rare-event sampling scheme for quantifying the rate of thermally activated nonadiabatic transitions in the condensed phase. Our Quantum mechanics/molecular mechanics (QM/MM) methodology uses the recently developed Interface for NonAdiabatic QM/MM in Solvent (INAQS) package to interface an elementary electronic structure package and a popular open-source molecular dynamics software (GROMACS) to simulate an electron transfer event between two stationary ions in a solution of acetonitrile solvent molecules. Nonadiabatic effects are implemented through a surface hopping scheme, and our simulations allow further quantitative insight into the participation ratio of a solvent and the effect of ion separation distance as far as facilitating electron transfer. We also demonstrate that the standard gas-phase approaches for treating frustrated hops and velocity reversal must be refined when working in the condensed phase with many degrees of freedom. The code and methodology developed here can be easily expanded upon and modified to incorporate other systems and should provide a great deal of new insight into a wide variety of condensed phase nonadiabatic phenomena.
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Affiliation(s)
- Alec J Coffman
- Department of Chemistry, University of Pennsylvania, 231 S. 34 Street, Cret Wing 141D, Philadelphia, Pennsylvania 19104-6243, United States
| | - Zuxin Jin
- Department of Chemistry, University of Pennsylvania, 231 S. 34 Street, Cret Wing 141D, Philadelphia, Pennsylvania 19104-6243, United States
| | - Junhan Chen
- Department of Chemistry, University of Pennsylvania, 231 S. 34 Street, Cret Wing 141D, Philadelphia, Pennsylvania 19104-6243, United States
| | - Joseph E Subotnik
- Department of Chemistry, University of Pennsylvania, 231 S. 34 Street, Cret Wing 141D, Philadelphia, Pennsylvania 19104-6243, United States
| | - D Vale Cofer-Shabica
- Department of Chemistry, University of Pennsylvania, 231 S. 34 Street, Cret Wing 141D, Philadelphia, Pennsylvania 19104-6243, United States
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12
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Villaseco Arribas E, Vindel-Zandbergen P, Roy S, Maitra NT. Different flavors of exact-factorization-based mixed quantum-classical methods for multistate dynamics. Phys Chem Chem Phys 2023; 25:26380-26395. [PMID: 37750820 DOI: 10.1039/d3cp03464j] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/27/2023]
Abstract
The exact factorization approach has led to the development of new mixed quantum-classical methods for simulating coupled electron-ion dynamics. We compare their performance for dynamics when more than two electronic states are occupied at a given time, and analyze: (1) the use of coupled versus auxiliary trajectories in evaluating the electron-nuclear correlation terms, (2) the approximation of using these terms within surface-hopping and Ehrenfest frameworks, and (3) the relevance of the exact conditions of zero population transfer away from nonadiabatic coupling regions and total energy conservation. Dynamics through the three-state conical intersection in the uracil radical cation as well as polaritonic models in one dimension are studied.
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Affiliation(s)
| | - Patricia Vindel-Zandbergen
- Department of Physics, Rutgers University, Newark 07102, New Jersey, USA.
- Department of Chemistry, New York University, New York, New York 10003, USA
| | - Saswata Roy
- Department of Physics, Rutgers University, Newark 07102, New Jersey, USA.
| | - Neepa T Maitra
- Department of Physics, Rutgers University, Newark 07102, New Jersey, USA.
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13
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Abstract
We present a nonadiabatic classical-trajectory approach that offers the best of both worlds between fewest-switches surface hopping (FSSH) and quasiclassical mapping dynamics. This mapping approach to surface hopping (MASH) propagates the nuclei on the active adiabatic potential-energy surface, such as in FSSH. However, unlike in FSSH, transitions between active surfaces are deterministic and occur when the electronic mapping variables evolve between specified regions of the electronic phase space. This guarantees internal consistency between the active surface and the electronic degrees of freedom throughout the dynamics. MASH is rigorously derivable from exact quantum mechanics as a limit of the quantum-classical Liouville equation (QCLE), leading to a unique prescription for momentum rescaling and frustrated hops. Hence, a quantum-jump procedure can, in principle, be used to systematically converge the accuracy of the results to that of the QCLE. This jump procedure also provides a rigorous framework for deriving approximate decoherence corrections similar to those proposed for FSSH. We apply MASH to simulate the nonadiabatic dynamics in various model systems and show that it consistently produces more accurate results than FSSH at a comparable computational cost.
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14
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Jain A, Sindhu A. Pedagogical Overview of the Fewest Switches Surface Hopping Method. ACS OMEGA 2022; 7:45810-45824. [PMID: 36570264 PMCID: PMC9773185 DOI: 10.1021/acsomega.2c04843] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/31/2022] [Accepted: 11/18/2022] [Indexed: 06/17/2023]
Abstract
The fewest switches surface hopping method continues to grow in popularity to capture electronic nonadiabaticity and quantum nuclear effects due to its simplicity and accuracy. Knowing the basics of the method is essential for the correct implementation and interpretation of results. This review covers the fundamentals of the fewest switches surface hopping method with a detailed discussion of the nuances such as decoherence schemes and frustrated hops and the correct approach to calculating populations. The consequences of incorrect implementation are further discussed toward calculating kinetic and thermodynamic properties. Some tips for practitioners and a step-by-step algorithm for developers are provided. Finally, some of the finer technicalities of the fewest switches surface hopping method that are buried deep in the literature are pointed out to help graduate students better appreciate this method.
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15
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Li W, Akimov AV. How Good Is the Vibronic Hamiltonian Repetition Approach for Long-Time Nonadiabatic Molecular Dynamics? J Phys Chem Lett 2022; 13:9688-9694. [PMID: 36218389 DOI: 10.1021/acs.jpclett.2c02765] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/16/2023]
Abstract
Multiple applied studies of slow nonadiabatic processes in nanoscale and condensed matter systems have adopted the "repetition" approximation in which long trajectories for such simulations are obtained by concatenating shorter trajectories, directly available from ab initio calculations, many times. Here, we comprehensively assess this approximation using model Hamiltonians with parameters covering a wide range of regimes. We find that state transition time scales may strongly depend on the length of the repeated data, although the convergence is not monotonic and may be slow. The repetition approach may under- or overestimate the time scales by a factor of ≤7-8, does not directly depend on the dispersion of energy gap and nonadiabatic coupling (NAC) frequencies, but may depend on the magnitude of the NACs. We suggest that the repetition-based nonadiabatic dynamics may be inaccurate in simulations with very small NACs, where intrinsic transition times are on the order of ≥100 ps.
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Affiliation(s)
- Wei Li
- School of Chemistry and Materials Science, Hunan Agricultural University, Changsha410128, China
| | - Alexey V Akimov
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York14260, United States
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16
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Barbatti M, Bondanza M, Crespo-Otero R, Demoulin B, Dral PO, Granucci G, Kossoski F, Lischka H, Mennucci B, Mukherjee S, Pederzoli M, Persico M, Pinheiro M, Pittner J, Plasser F, Sangiogo Gil E, Stojanovic L. Newton-X Platform: New Software Developments for Surface Hopping and Nuclear Ensembles. J Chem Theory Comput 2022; 18:6851-6865. [PMID: 36194696 PMCID: PMC9648185 DOI: 10.1021/acs.jctc.2c00804] [Citation(s) in RCA: 19] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
Abstract
![]()
Newton-X is an open-source computational platform to
perform nonadiabatic
molecular dynamics based on surface hopping and spectrum simulations
using the nuclear ensemble approach. Both are among the most common
methodologies in computational chemistry for photophysical and photochemical
investigations. This paper describes the main features of these methods
and how they are implemented in Newton-X. It emphasizes the newest
developments, including zero-point-energy leakage correction, dynamics
on complex-valued potential energy surfaces, dynamics induced by incoherent
light, dynamics based on machine-learning potentials, exciton dynamics
of multiple chromophores, and supervised and unsupervised machine
learning techniques. Newton-X is interfaced with several third-party
quantum-chemistry programs, spanning a broad spectrum of electronic
structure methods.
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Affiliation(s)
- Mario Barbatti
- Aix Marseille University, CNRS, ICR, 13013Marseille, France.,Institut Universitaire de France, 75231Paris, France
| | - Mattia Bondanza
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, via Moruzzi 13, 56124Pisa, Italy
| | - Rachel Crespo-Otero
- Department of Chemistry, Queen Mary University of London, Mile End Road, E1 4NSLondon, U.K
| | | | - Pavlo O Dral
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Department of Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, 361005Xiamen, China
| | - Giovanni Granucci
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, via Moruzzi 13, 56124Pisa, Italy
| | - Fábris Kossoski
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31000Toulouse, France
| | - Hans Lischka
- Department of Chemistry and Biochemistry, Texas Tech University, Lubbock, Texas79409, United States
| | - Benedetta Mennucci
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, via Moruzzi 13, 56124Pisa, Italy
| | | | - Marek Pederzoli
- J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, v.v.i., Dolejškova 3, 18223Prague 8, Czech Republic
| | - Maurizio Persico
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, via Moruzzi 13, 56124Pisa, Italy
| | - Max Pinheiro
- Aix Marseille University, CNRS, ICR, 13013Marseille, France
| | - Jiří Pittner
- J. Heyrovsky Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, v.v.i., Dolejškova 3, 18223Prague 8, Czech Republic
| | - Felix Plasser
- Department of Chemistry, Loughborough University, LE11 3TULoughborough, U.K
| | - Eduarda Sangiogo Gil
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, via Moruzzi 13, 56124Pisa, Italy
| | - Ljiljana Stojanovic
- Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BTLondon, U.K
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17
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Peng WT, Brey D, Giannini S, Dell’Angelo D, Burghardt I, Blumberger J. Exciton Dissociation in a Model Organic Interface: Excitonic State-Based Surface Hopping versus Multiconfigurational Time-Dependent Hartree. J Phys Chem Lett 2022; 13:7105-7112. [PMID: 35900333 PMCID: PMC9376959 DOI: 10.1021/acs.jpclett.2c01928] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2022] [Accepted: 07/19/2022] [Indexed: 05/20/2023]
Abstract
Quantum dynamical simulations are essential for a molecular-level understanding of light-induced processes in optoelectronic materials, but they tend to be computationally demanding. We introduce an efficient mixed quantum-classical nonadiabatic molecular dynamics method termed eXcitonic state-based Surface Hopping (X-SH), which propagates the electronic Schrödinger equation in the space of local excitonic and charge-transfer electronic states, coupled to the thermal motion of the nuclear degrees of freedom. The method is applied to exciton decay in a 1D model of a fullerene-oligothiophene junction, and the results are compared to the ones from a fully quantum dynamical treatment at the level of the Multilayer Multiconfigurational Time-Dependent Hartree (ML-MCTDH) approach. Both methods predict that charge-separated states are formed on the 10-100 fs time scale via multiple "hot-exciton dissociation" pathways. The results demonstrate that X-SH is a promising tool advancing the simulation of photoexcited processes from the molecular to the true nanomaterials scale.
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Affiliation(s)
- Wei-Tao Peng
- Department
of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
| | - Dominik Brey
- Institute
of Physical and Theoretical Chemistry, Goethe
University Frankfurt, Max-von-Laue-Strasse 7, 60438 Frankfurt am Main, Germany
| | - Samuele Giannini
- Department
of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
| | - David Dell’Angelo
- Department
of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
| | - Irene Burghardt
- Institute
of Physical and Theoretical Chemistry, Goethe
University Frankfurt, Max-von-Laue-Strasse 7, 60438 Frankfurt am Main, Germany
| | - Jochen Blumberger
- Department
of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
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18
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Pradhan CS, Jain A. Detailed Balance and Independent Electron Surface-Hopping Method: The Importance of Decoherence and Correct Calculation of Diabatic Populations. J Chem Theory Comput 2022; 18:4615-4626. [PMID: 35880817 DOI: 10.1021/acs.jctc.2c00320] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We benchmark and improve the independent electron surface-hopping (IESH) method developed by J. C. Tully's group for nonadiabatic simulations near metal surfaces. We have incorporated decoherence within the IESH method as well as implemented a scheme for the accurate calculation of diabatic populations. We benchmark the original IESH method with the above inclusions for a model system to calculate rate constants and long-time populations. The original IESH method fails to capture the detailed balance for some of the parameters, which is corrected with the inclusion of decoherence and accurate calculation of diabatic populations. Total rate constants are well captured both within the original IESH method as well as within our modified IESH.
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Affiliation(s)
- Chinmay S Pradhan
- Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Amber Jain
- Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
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19
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Villaseco Arribas E, Agostini F, Maitra NT. Exact Factorization Adventures: A Promising Approach for Non-Bound States. Molecules 2022; 27:molecules27134002. [PMID: 35807246 PMCID: PMC9267945 DOI: 10.3390/molecules27134002] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2022] [Revised: 06/07/2022] [Accepted: 06/09/2022] [Indexed: 11/29/2022] Open
Abstract
Modeling the dynamics of non-bound states in molecules requires an accurate description of how electronic motion affects nuclear motion and vice-versa. The exact factorization (XF) approach offers a unique perspective, in that it provides potentials that act on the nuclear subsystem or electronic subsystem, which contain the effects of the coupling to the other subsystem in an exact way. We briefly review the various applications of the XF idea in different realms, and how features of these potentials aid in the interpretation of two different laser-driven dissociation mechanisms. We present a detailed study of the different ways the coupling terms in recently-developed XF-based mixed quantum-classical approximations are evaluated, where either truly coupled trajectories, or auxiliary trajectories that mimic the coupling are used, and discuss their effect in both a surface-hopping framework as well as the rigorously-derived coupled-trajectory mixed quantum-classical approach.
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Affiliation(s)
| | - Federica Agostini
- Institut de Chimie Physique UMR8000, Université Paris-Saclay, CNRS, 91405 Orsay, France;
| | - Neepa T. Maitra
- Department of Physics, Rutgers University, Newark, NJ 07102, USA;
- Correspondence:
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20
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Giannini S, Peng WT, Cupellini L, Padula D, Carof A, Blumberger J. Exciton transport in molecular organic semiconductors boosted by transient quantum delocalization. Nat Commun 2022; 13:2755. [PMID: 35589694 PMCID: PMC9120088 DOI: 10.1038/s41467-022-30308-5] [Citation(s) in RCA: 21] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/23/2021] [Accepted: 04/26/2022] [Indexed: 11/09/2022] Open
Abstract
Designing molecular materials with very large exciton diffusion lengths would remove some of the intrinsic limitations of present-day organic optoelectronic devices. Yet, the nature of excitons in these materials is still not sufficiently well understood. Here we present Frenkel exciton surface hopping, an efficient method to propagate excitons through truly nano-scale materials by solving the time-dependent Schrödinger equation coupled to nuclear motion. We find a clear correlation between diffusion constant and quantum delocalization of the exciton. In materials featuring some of the highest diffusion lengths to date, e.g. the non-fullerene acceptor Y6, the exciton propagates via a transient delocalization mechanism, reminiscent to what was recently proposed for charge transport. Yet, the extent of delocalization is rather modest, even in Y6, and found to be limited by the relatively large exciton reorganization energy. On this basis we chart out a path for rationally improving exciton transport in organic optoelectronic materials.
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Affiliation(s)
- Samuele Giannini
- Department of Physics and Astronomy and Thomas Young Centre, University College London, WC1E 6BT, London, UK.
- Laboratory for Chemistry of Novel Materials, University of Mons, Place du Parc 20, 7000, Mons, Belgium.
| | - Wei-Tao Peng
- Department of Physics and Astronomy and Thomas Young Centre, University College London, WC1E 6BT, London, UK
| | - Lorenzo Cupellini
- Dipartimento di Chimica e Chimica Industriale, Universitá di Pisa, Via G. Moruzzi 13, 56124, Pisa, Italy
| | - Daniele Padula
- Dipartimento di Biotecnologie, Chimica e Farmacia, Universitá di Siena, Via A. Moro 2, 53100, Siena, Italy
| | - Antoine Carof
- Laboratoire de Physique et Chimie Théoriques, CNRS, UMR No. 7019, Université de Lorraine, BP 239, 54506, Vandoeuvre-lés-Nancy Cedex, France
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre, University College London, WC1E 6BT, London, UK.
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21
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Giannini S, Blumberger J. Charge Transport in Organic Semiconductors: The Perspective from Nonadiabatic Molecular Dynamics. Acc Chem Res 2022; 55:819-830. [PMID: 35196456 PMCID: PMC8928466 DOI: 10.1021/acs.accounts.1c00675] [Citation(s) in RCA: 32] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
![]()
Organic semiconductors (OSs) are an exciting
class of materials
that have enabled disruptive technologies in this century including
large-area electronics, flexible displays, and inexpensive solar cells.
All of these technologies rely on the motion of electrical charges
within the material and the diffusivity of these charges critically
determines their performance. In this respect, it is remarkable that
the nature of the charge transport in these materials has puzzled
the community for so many years, even for apparently simple systems
such as molecular single crystals: some experiments would better fit
an interpretation in terms of a localized particle picture, akin to
molecular or biological electron transfer, while others are in better
agreement with a wave-like interpretation, more akin to band transport
in metals. Exciting recent progress in the theory and simulation
of charge
carrier transport in OSs has now led to a unified understanding of
these disparate findings, and this Account will review one of these
tools developed in our laboratory in some detail: direct charge carrier
propagation by quantum-classical nonadiabatic molecular dynamics.
One finds that even in defect-free crystals the charge carrier can
either localize on a single molecule or substantially delocalize over
a large number of molecules depending on the relative strength of
electronic couplings between the molecules, reorganization, or charge
trapping energy of the molecule and thermal fluctuations of electronic
couplings and site energies, also known as electron–phonon
couplings. Our simulations predict that in molecular OSs exhibiting
some of
the highest measured charge mobilities to date, the charge carrier
forms “flickering” polarons, objects that are delocalized
over 10–20 molecules on average and that constantly change
their shape and extension under the influence of thermal disorder.
The flickering polarons propagate through the OS by short (≈10
fs long) bursts of the wave function that lead to an expansion of
the polaron to about twice its size, resulting in spatial displacement,
carrier diffusion, charge mobility, and electrical conductivity. Arguably
best termed “transient delocalization”, this mechanistic
scenario is very similar to the one assumed in transient localization
theory and supports its assertions. We also review recent applications
of our methodology to charge transport in disordered and nanocrystalline
samples, which allows us to understand the influence of defects and
grain boundaries on the charge propagation. Unfortunately, the
energetically favorable packing structures of
typical OSs, whether molecular or polymeric, places fundamental constraints
on charge mobilities/electronic conductivity compared to inorganic
semiconductors, which limits their range of applications. In this
Account, we review the design rules that could pave the way for new
very high-mobility OS materials and we argue that 2D covalent organic
frameworks are one of the most promising candidates to satisfy them. We conclude that our nonadiabatic dynamics method is a powerful
approach for predicting charge carrier transport in crystalline and
disordered materials. We close with a brief outlook on extensions
of the method to exciton transport, dissociation, and recombination.
This will bring us a step closer to an understanding of the birth,
survival, and annihiliation of charges at interfaces of optoelectronic
devices.
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Affiliation(s)
- Samuele Giannini
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
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22
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Roosta S, Galami F, Elstner M, Xie W. Efficient Surface Hopping Approach for Modeling Charge Transport in Organic Semiconductors. J Chem Theory Comput 2022; 18:1264-1274. [PMID: 35179894 DOI: 10.1021/acs.jctc.1c00944] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The trajectory surface hopping (TSH) method is nowadays widely applied to study the charge/exciton transport process in organic semiconductors (OSCs). In the present study, we systematically examine the performance of two approximations in the fewest switched surface hopping (FSSH) simulations for charge transport (CT) in several representative OSCs. These approximations include (i) the substitution of the nuclear velocity scaling along the nonadiabatic coupling vector (NCV) by rescaling the hopping probability with the Boltzmann factor (Boltzmann correction (BC)) and (ii) a phenomenological approach to treat the quantum feedback from the electronic system to the nuclear system (implicit charge relaxation (IR)) in the OSCs. We find that charge mobilities computed by FSSH-BC-IR are in very good agreement with the mobilities obtained by standard FSSH simulations with explicit charge relaxation (FSSH-ER), however, at reduced computational cost. A key parameter determining the charge carrier mobility is the reorganization energy, which is sensitively dependent on DFT functionals applied. By employing the IR approximation, the FSSH method allows systematic investigation of the effect of the reorganization energies obtained by different DFT functionals like B3LYP or ωB97XD on CT in OSCs. In comparison to the experiments, FSSH-BC-IR using ωB97XD reorganization energy underestimates mobilities in the low-coupling regime, which may indicate the lack of nuclear quantum effects (e.g., zero point energy (ZPE)) in the simulations. The mobilities obtained by FSSH-BC-IR using the B3LYP reorganization energy agree well with experimental values in 3 orders of magnitude. The accidental agreement may be the consequence of the underestimation of the reorganization energy by the B3LYP functional, which compensates for the neglect of nuclear ZPE in the simulations.
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Affiliation(s)
- Sara Roosta
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, 76131 Karlsruhe, Germany
| | - Farhad Galami
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, 76131 Karlsruhe, Germany
| | - Marcus Elstner
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, 76131 Karlsruhe, Germany.,Institute of Biological Interfaces (IBG-2), Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
| | - Weiwei Xie
- Key Laboratory of Advanced Energy Materials Chemistry (Ministry of Education), Renewable Energy Conversion and Storage Center, College of Chemistry, Nankai University, Tianjin 300071, China
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23
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Ellis M, Yang H, Giannini S, Ziogos OG, Blumberger J. Impact of Nanoscale Morphology on Charge Carrier Delocalization and Mobility in an Organic Semiconductor. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2021; 33:e2104852. [PMID: 34558126 DOI: 10.1002/adma.202104852] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/24/2021] [Revised: 08/11/2021] [Indexed: 06/13/2023]
Abstract
A central challenge of organic semiconductor research is to make cheap, disordered materials that exhibit high electrical conductivity. Unfortunately, this endeavor is hampered by the poor fundamental understanding of the relationship between molecular packing structure and charge carrier mobility. Here a novel computational methodology is presented that fills this gap. Using a melt-quench procedure it is shown that amorphous pentacene spontaneously self-assembles to nanocrystalline structures that, at long quench times, form the characteristic herringbone layer of the single crystal. Quantum dynamical simulations of electron hole transport show a clear correlation between the crystallinity of the sample, the quantum delocalization, and the mobility of the charge carrier. Surprisingly, the long-held belief that charge carriers form relatively localized polarons in disordered OS is only valid for fully amorphous structures-for nanocrystalline and crystalline samples, significant charge carrier delocalization over several nanometers occurs that underpins their improved conductivities. The good agreement with experimentally available data makes the presented methodology a robust computational tool for the predictive engineering of disordered organic materials.
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Affiliation(s)
- Matthew Ellis
- Department of Physics and Astronomy and Thomas Young Centre London, University College London, Gower Street, London, WC1E 6BT, UK
| | - Hui Yang
- Department of Physics and Astronomy and Thomas Young Centre London, University College London, Gower Street, London, WC1E 6BT, UK
| | - Samuele Giannini
- Department of Physics and Astronomy and Thomas Young Centre London, University College London, Gower Street, London, WC1E 6BT, UK
| | - Orestis G Ziogos
- Department of Physics and Astronomy and Thomas Young Centre London, University College London, Gower Street, London, WC1E 6BT, UK
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre London, University College London, Gower Street, London, WC1E 6BT, UK
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24
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Zobel JP, Heindl M, Plasser F, Mai S, González L. Surface Hopping Dynamics on Vibronic Coupling Models. Acc Chem Res 2021; 54:3760-3771. [PMID: 34570472 PMCID: PMC8529708 DOI: 10.1021/acs.accounts.1c00485] [Citation(s) in RCA: 29] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
![]()
The simulation of photoinduced non-adiabatic dynamics is of great
relevance in many scientific disciplines, ranging from physics and
materials science to chemistry and biology. Upon light irradiation,
different relaxation processes take place in which electronic and
nuclear motion are intimately coupled. These are best described by
the time-dependent molecular Schrödinger equation, but its
solution poses fundamental practical challenges to contemporary theoretical
chemistry. Two widely used and complementary approaches to this problem
are multiconfigurational time-dependent Hartree (MCTDH) and trajectory
surface hopping (SH). MCTDH is an accurate fully quantum-mechanical
technique but often is feasible only in reduced dimensionality, in
combination with approximate vibronic coupling (VC) Hamiltonians,
or both (i.e., reduced-dimensional VC potentials). In contrast, SH
is a quantum–classical technique that neglects most nuclear
quantum effects but allows nuclear dynamics in full dimensionality
by calculating potential energy surfaces on the fly. If nuclear quantum
effects do not play a central role and a linear VC (LVC) Hamiltonian
is appropriate—e.g., for stiff molecules that generally keep
their conformation in the excited state—then it seems advantageous
to combine the efficient LVC and SH techniques. In this Account, we
describe how surface hopping based on an LVC Hamiltonian (SH/LVC)—as
recently implemented in the SHARC surface hopping package—can
provide an economical and automated approach to simulate non-adiabatic
dynamics. First, we illustrate the potential of SH/LVC in a number
of showcases, including intersystem crossing in SO2, intra-Rydberg
dynamics in acetone, and several photophysical studies on large transition-metal
complexes, which would be much more demanding or impossible to perform
with other methods. While all of the applications provide very useful
insights into light-induced phenomena, they also hint at difficulties
faced by the SH/LVC methodology that need to be addressed in the future.
Second, we contend that the SH/LVC approach can be useful to benchmark
SH itself. By the use of the same (LVC) potentials as MCTDH calculations
have employed for decades and by relying on the efficiency of SH/LVC,
it is possible to directly compare multiple SH test calculations with
a MCTDH reference and ponder the accuracy of various correction algorithms
behind the SH methodology, such as decoherence corrections or momentum
rescaling schemes. Third, we demonstrate how the efficiency of SH/LVC
can also be exploited to identify essential nuclear and electronic
degrees of freedom to be employed in more accurate MCTDH calculations.
Lastly, we show that SH/LVC is able to advance the development of
SH protocols that can describe nuclear dynamics including explicit
laser fields—a very challenging endeavor for trajectory-based
schemes. To end, this Account compiles the typical costs of contemporary
SH simulations, evidencing the great advantages of using parametrized
potentials. The LVC model is a sleeping beauty that, kissed by SH,
is fueling the field of excited-state molecular dynamics. We hope
that this Account will stimulate future research in this direction,
leveraging the advantages of the SH/VC schemes to larger extents and
extending their applicability to uncharted territories.
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Affiliation(s)
- J. Patrick Zobel
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
| | - Moritz Heindl
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
| | - Felix Plasser
- Department of Chemistry, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - Sebastian Mai
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
| | - Leticia González
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
- Vienna Research Platform on Accelerating Photoreaction Discovery, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
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25
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Vindel-Zandbergen P, Ibele LM, Ha JK, Min SK, Curchod BFE, Maitra NT. Study of the Decoherence Correction Derived from the Exact Factorization Approach for Nonadiabatic Dynamics. J Chem Theory Comput 2021; 17:3852-3862. [PMID: 34138553 PMCID: PMC8280698 DOI: 10.1021/acs.jctc.1c00346] [Citation(s) in RCA: 22] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
![]()
We present a detailed
study of the decoherence correction to surface
hopping that was recently derived from the exact factorization approach.
Ab initio multiple spawning calculations that use the same initial
conditions and the same electronic structure method are used as a
reference for three molecules: ethylene, the methaniminium cation,
and fulvene, for which nonadiabatic dynamics follows a photoexcitation.
A comparison with the Granucci–Persico energy-based decoherence
correction and the augmented fewest-switches surface-hopping scheme
shows that the three decoherence-corrected methods operate on individual
trajectories in a qualitatively different way, but the results averaged
over trajectories are similar for these systems.
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Affiliation(s)
| | - Lea M Ibele
- Department of Chemistry, Durham University, South Road, Durham DH1 3LE, U.K
| | - Jong-Kwon Ha
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulsan 44919, Republic of Korea
| | - Seung Kyu Min
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulsan 44919, Republic of Korea
| | - Basile F E Curchod
- Department of Chemistry, Durham University, South Road, Durham DH1 3LE, U.K
| | - Neepa T Maitra
- Department of Physics, Rutgers University, Newark, New Jersey 07102, United States
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26
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Lee IS, Ha JK, Han D, Kim TI, Moon SW, Min SK. PyUNIxMD: A Python-based excited state molecular dynamics package. J Comput Chem 2021; 42:1755-1766. [PMID: 34197646 PMCID: PMC8362049 DOI: 10.1002/jcc.26711] [Citation(s) in RCA: 19] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2021] [Revised: 06/10/2021] [Accepted: 06/16/2021] [Indexed: 01/17/2023]
Abstract
Theoretical/computational description of excited state molecular dynamics is nowadays a crucial tool for understanding light-matter interactions in many materials. Here we present an open-source Python-based nonadiabatic molecular dynamics program package, namely PyUNIxMD, to deal with mixed quantum-classical dynamics for correlated electron-nuclear propagation. The PyUNIxMD provides many interfaces for quantum chemical calculation methods with commercial and noncommercial ab initio and semiempirical quantum chemistry programs. In addition, the PyUNIxMD offers many nonadiabatic molecular dynamics algorithms such as fewest-switch surface hopping and its derivatives as well as decoherence-induced surface hopping based on the exact factorization (DISH-XF) and coupled-trajectory mixed quantum-classical dynamics (CTMQC) for general purposes. Detailed structures and flows of PyUNIxMD are explained for the further implementations by developers. We perform a nonadiabatic molecular dynamics simulation for a molecular motor system as a simple demonstration.
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Affiliation(s)
- In Seong Lee
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, South Korea
| | - Jong-Kwon Ha
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, South Korea
| | - Daeho Han
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, South Korea
| | - Tae In Kim
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, South Korea
| | - Sung Wook Moon
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, South Korea
| | - Seung Kyu Min
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), Ulsan, South Korea
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27
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Heindl M, González L. Validating fewest-switches surface hopping in the presence of laser fields. J Chem Phys 2021; 154:144102. [PMID: 33858152 DOI: 10.1063/5.0044807] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Abstract
The capability of fewest-switches surface hopping (FSSH) to describe non-adiabatic dynamics under explicit excitation with external fields is evaluated. Different FSSH parameters are benchmarked against multi-configurational time dependent Hartree (MCTDH) reference calculations using SO2 and 2-thiocytosine as model, yet realistic, molecular systems. Qualitatively, FSSH is able to reproduce the trends in the MCTDH dynamics with (also without) an explicit external field; however, no set of FSSH parameters is ideal. The adequate treatment of the overcoherence in FSSH is revealed as the driving factor to improve the description of the excitation process with respect to the MCTDH reference. Here, two corrections were tested: the augmented-FSSH (AFSSH) correction and the energy-based decoherence correction. A dependence on the employed basis is detected in AFSSH, performing better when spin-orbit and external laser field couplings are treated as off-diagonal elements instead of projecting them onto the diagonal of the Hamilton operator. In the presence of an electric field, the excited state dynamics was found to depend strongly on the vector used to rescale the kinetic energy along after a transition between surfaces. For SO2, recurrence of the excited wave packet throughout the duration of the applied laser pulse is observed for laser pulses (>100 fs), resulting in additional interferences missed by FSSH and only visible in variational multi-configurational Gaussian when utilizing a large number of Gaussian basis functions. This feature vanishes when going toward larger molecules, such as 2-thiocytosine, where this effect is barely visible in a laser pulse 200 fs long.
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Affiliation(s)
- Moritz Heindl
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
| | - Leticia González
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
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28
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Niehaus TA. Ground-to-excited derivative couplings for the density functional-based tight-binding method: semi-local and long-range corrected formulations. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02735-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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29
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Smith B, Shakiba M, Akimov AV. Nonadiabatic Dynamics in Si and CdSe Nanoclusters: Many-Body vs Single-Particle Treatment of Excited States. J Chem Theory Comput 2021; 17:678-693. [DOI: 10.1021/acs.jctc.0c01009] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Affiliation(s)
- Brendan Smith
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260 United States
| | - Mohammad Shakiba
- Department of Materials Science and Engineering, Shahid Bahonar University of Kerman, Kerman 76169-14111, Iran
| | - Alexey V. Akimov
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260 United States
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30
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Ziogos OG, Blanco I, Blumberger J. Ultrathin porphyrin and tetra-indole covalent organic frameworks for organic electronics applications. J Chem Phys 2020; 153:044702. [PMID: 32752720 DOI: 10.1063/5.0010164] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The electronic and charge transport properties of porphyrin and tetra-indole porphyrinoid single layer covalent organic frameworks (COFs) are investigated by means of density functional theory calculations. Ultrathin diacetylene-linked COFs based on oxidized tetra-indole cores are narrow gap 2D semiconductors, featuring a pronounced anisotropic electronic band structure due to the combination of dispersive and flat band characteristics, while registering high room temperature charge carrier mobilities. The capability of bandgap and charge carrier localization tuning via the careful selection of fourfold porphyrin and porphyrinoid cores and twofold articulated linkers is demonstrated, with the majority of systems exhibiting electronic gap values between 1.75 eV and 2.3 eV. Tetra-indoles are also capable of forming stable monolayers via non-articulated core fusing, resulting in 2D morphologies with extended π-conjugation and semi-metallic behavior.
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Affiliation(s)
- Orestis George Ziogos
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Itsaso Blanco
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Jochen Blumberger
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
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31
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Giannini S, Ziogos OG, Carof A, Ellis M, Blumberger J. Flickering Polarons Extending over Ten Nanometres Mediate Charge Transport in High‐Mobility Organic Crystals. ADVANCED THEORY AND SIMULATIONS 2020. [DOI: 10.1002/adts.202000093] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Affiliation(s)
- Samuele Giannini
- Department of Physics and Astronomy and Thomas Young Centre University College London London WC1E 6BT UK
| | - Orestis George Ziogos
- Department of Physics and Astronomy and Thomas Young Centre University College London London WC1E 6BT UK
| | - Antoine Carof
- Laboratoire de Physique et Chimie Théoriques, CNRS, UMR No. 7019 Université de Lorraine BP 239 Vandœuvre‐lès‐Nancy Cedex 54506 France
| | - Matthew Ellis
- Department of Physics and Astronomy and Thomas Young Centre University College London London WC1E 6BT UK
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre University College London London WC1E 6BT UK
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32
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Nematiaram T, Troisi A. Modeling charge transport in high-mobility molecular semiconductors: Balancing electronic structure and quantum dynamics methods with the help of experiments. J Chem Phys 2020; 152:190902. [DOI: 10.1063/5.0008357] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Affiliation(s)
- Tahereh Nematiaram
- Department of Chemistry and Materials Innovation Factory, University of Liverpool, Liverpool L69 7ZD, United Kingdom
| | - Alessandro Troisi
- Department of Chemistry and Materials Innovation Factory, University of Liverpool, Liverpool L69 7ZD, United Kingdom
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33
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Chakraborty P, Liu Y, Weinacht T, Matsika S. Excited state dynamics of cis,cis-1,3-cyclooctadiene: Non-adiabatic trajectory surface hopping. J Chem Phys 2020; 152:174302. [PMID: 32384830 DOI: 10.1063/5.0005558] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have performed trajectory surface hopping dynamics for cis,cis-1,3-cyclooctadiene to investigate the photochemical pathways involved after being excited to the S1 state. Our calculations reveal ultrafast decay to the ground state, facilitated by conical intersections involving distortions around the double bonds. The main distortions are localized on one double bond, involving twisting and pyramidalization of one of the carbons of that double bond (similar to ethylene), while a limited number of trajectories decay via delocalized (non-local) twisting of both double bonds. The interplay between local and non-local distortions is important in our understanding of photoisomerization in conjugated systems. The calculations show that a broad range of the conical intersection seam space is accessed during the non-adiabatic events. Several products formed on the ground state have also been observed.
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Affiliation(s)
- Pratip Chakraborty
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Yusong Liu
- Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA
| | - Thomas Weinacht
- Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA
| | - Spiridoula Matsika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
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Cheng CY, Campbell JE, Day GM. Evolutionary chemical space exploration for functional materials: computational organic semiconductor discovery. Chem Sci 2020; 11:4922-4933. [PMID: 34122948 PMCID: PMC8159259 DOI: 10.1039/d0sc00554a] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2020] [Accepted: 04/21/2020] [Indexed: 11/26/2022] Open
Abstract
Computational methods, including crystal structure and property prediction, have the potential to accelerate the materials discovery process by enabling structure prediction and screening of possible molecular building blocks prior to their synthesis. However, the discovery of new functional molecular materials is still limited by the need to identify promising molecules from a vast chemical space. We describe an evolutionary method which explores a user specified region of chemical space to identify promising molecules, which are subsequently evaluated using crystal structure prediction. We demonstrate the methods for the exploration of aza-substituted pentacenes with the aim of finding small molecule organic semiconductors with high charge carrier mobilities, where the space of possible substitution patterns is too large to exhaustively search using a high throughput approach. The method efficiently explores this large space, typically requiring calculations on only ∼1% of molecules during a search. The results reveal two promising structural motifs: aza-substituted naphtho[1,2-a]anthracenes with reorganisation energies as low as pentacene and a series of pyridazine-based molecules having both low reorganisation energies and high electron affinities.
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Affiliation(s)
- Chi Y Cheng
- Computational Systems Chemistry, School of Chemistry, University of Southampton Highfield Southampton SO17 1NX UK
| | - Josh E Campbell
- Computational Systems Chemistry, School of Chemistry, University of Southampton Highfield Southampton SO17 1NX UK
| | - Graeme M Day
- Computational Systems Chemistry, School of Chemistry, University of Southampton Highfield Southampton SO17 1NX UK
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35
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Xie W, Holub D, Kubař T, Elstner M. Performance of Mixed Quantum-Classical Approaches on Modeling the Crossover from Hopping to Bandlike Charge Transport in Organic Semiconductors. J Chem Theory Comput 2020; 16:2071-2084. [PMID: 32176844 DOI: 10.1021/acs.jctc.9b01271] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Abstract
In the present study, several mixed quantum-classical (MQC) methods are applied to on-the-fly nonadiabatic molecular dynamics simulations of hole transport in molecular organic semiconductors (OSCs). The tested MQC methods contain the mean-field Ehrenfest (MFE), trajectory surface hopping (TSH) approaches based on Tully's fewest switches surface hopping (FSSH) and the global flux surface hopping (GFSH), the latter in the diabatic/adiabatic representation, and a Landau-Zener type trajectory surface hopping (LZSH). We also tested several correction schemes which were proposed to identify trivial crossings and to remove unphysical long-range charge transfers due to decoherence corrections. In addition, several cost-effective approaches for the nuclear velocity adjustment after an energy-allowed/energy-forbidden hop are investigated with respect to detailed balance and internal consistency conditions. To model a broad spectrum of OSCs with different charge transport characteristics, we derived from the anthracene structural model the construction of two additional models by uniformly scaling down the electronic couplings by the factors of 0.1 and 0.5. Anthracene shows a bandlike charge transport mechanism, characterized by slightly delocalized charge carriers 'diffusing' through the crystal. For smaller couplings, the mechanism changes to a hopping type, characteristically differing in the charge delocalization and temperature dependence. The MFE and corrected adiabatic TSH approaches are able to quantitatively reproduce the expected behavior, while the diabatic LZSH method fails for large couplings, as do approaches which are based on the hopping of localized charge between neighboring sites. Moreover, we find that while the hole mobility of the anthracene crystal simulated using the celebrated Marcus theory is in good agreement with the experimental value, its agreement has to be regarded as an accident due to the overestimation of the prefactor in the Marcus rate equation.
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Affiliation(s)
- Weiwei Xie
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, 76131 Karlsruhe, Germany
| | - Daniel Holub
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, 76131 Karlsruhe, Germany
| | - Tomáš Kubař
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, 76131 Karlsruhe, Germany
| | - Marcus Elstner
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, 76131 Karlsruhe, Germany.,Institute of Biological Interfaces (IBG-2), Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
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36
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Smith B, Akimov AV. Hot Electron Cooling in Silicon Nanoclusters via Landau-Zener Nonadiabatic Molecular Dynamics: Size Dependence and Role of Surface Termination. J Phys Chem Lett 2020; 11:1456-1465. [PMID: 31958367 DOI: 10.1021/acs.jpclett.9b03687] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We develop a new express methodology for modeling excited-state dynamics occurring in dense manifolds of electronic states in atomistic systems. The approach leverages a modified Landau-Zener formula, the neglect of a back-reaction approximation, and the highly efficient density functional tight-binding method. We study the hot electron dynamics in a series of H- and F-terminated silicon nanocrystals (NCs) containing up to several hundred atoms. We explain the slower electron cooling dynamics in F-terminated NCs by the larger energy gaps between the adjacent electronic states in these systems as well as their slower fluctuations. We conclude that both the mass and chemical identity of the surface termination groups equally influence the electron dynamics, on average. However, the mass effect becomes dominant for higher-energy excitations. We find that the electron decay dynamics in F-terminated NCs has a greater sensitivity to the mass of the surface ligands than do the H-terminated NCs and explain this observation by the details of the electron-phonon coupling in the systems. We find that in the H-terminated NCs, electronic transitions in the cooling process occur predominantly between the surface states, whereas in F-terminated Si NCs, both surface and NC core states are coupled to the nuclear vibrations. We find that electron energy relaxation is accelerated in larger NCs and attribute this effect to the higher densities of states and smaller energy gaps in these systems.
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Affiliation(s)
- Brendan Smith
- Department of Chemistry , University at Buffalo, The State University of New York , Buffalo , New York 14260 , United States
| | - Alexey V Akimov
- Department of Chemistry , University at Buffalo, The State University of New York , Buffalo , New York 14260 , United States
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37
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Smith B, Akimov AV. Modeling nonadiabatic dynamics in condensed matter materials: some recent advances and applications. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:073001. [PMID: 31661681 DOI: 10.1088/1361-648x/ab5246] [Citation(s) in RCA: 33] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
This review focuses on recent developments in the field of nonadiabatic molecular dynamics (NA-MD), with particular attention given to condensed-matter systems. NA-MD simulations for small molecular systems can be performed using high-level electronic structure (ES) calculations, methods accounting for the quantization of nuclear motion, and using fewer approximations in the dynamical methodology itself. Modeling condensed-matter systems imposes many limitations on various aspects of NA-MD computations, requiring approximations at various levels of theory-from the ES, to the ways in which the coupling of electrons and nuclei are accounted for. Nonetheless, the approximate treatment of NA-MD in condensed-phase materials has gained a spin lately in many applied studies. A number of advancements of the methodology and computational tools have been undertaken, including general-purpose methods, as well as those tailored to nanoscale and condensed matter systems. This review summarizes such methodological and software developments, puts them into the broader context of existing approaches, and highlights some of the challenges that remain to be solved.
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Affiliation(s)
- Brendan Smith
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260-3000, United States of America
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38
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Ghosh S, Giannini S, Lively K, Blumberger J. Nonadiabatic dynamics with quantum nuclei: simulating charge transfer with ring polymer surface hopping. Faraday Discuss 2020; 221:501-525. [DOI: 10.1039/c9fd00046a] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Abstract
Exploring effects of quantizing nuclei in non-adiabatic dynamics for simulating charge transfer in a dimer of “ethylene-like-molecules” at different temperatures.
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Affiliation(s)
- Soumya Ghosh
- Department of Physics and Astronomy
- University College London
- London WC1E 6BT
- UK
| | - Samuele Giannini
- Department of Physics and Astronomy
- University College London
- London WC1E 6BT
- UK
| | - Kevin Lively
- Department of Physics and Astronomy
- University College London
- London WC1E 6BT
- UK
| | - Jochen Blumberger
- Department of Physics and Astronomy
- University College London
- London WC1E 6BT
- UK
- Institute for Advanced Study
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39
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Yonehara T, Nakajima T. Electron dynamics method using a locally projected group diabatic Fock matrix for molecules and aggregates. Chem Phys 2020. [DOI: 10.1016/j.chemphys.2019.110508] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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40
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Carof A, Giannini S, Blumberger J. How to calculate charge mobility in molecular materials from surface hopping non-adiabatic molecular dynamics - beyond the hopping/band paradigm. Phys Chem Chem Phys 2019; 21:26368-26386. [PMID: 31793569 DOI: 10.1039/c9cp04770k] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
Charge transport in high mobility organic semiconductors is in an intermediate regime between small polaron hopping and band transport limits. We have recently shown that surface hopping non-adiabatic molecular dynamics is a powerful method for prediction of charge transport mechanisms in organic materials and for near-quantitative prediction of charge mobilities at room temperature where the effects of nuclear zero-point motion and tunneling are still relatively small [S. Giannini et al., Nat. Commun., 2019, 10, 3843]. Here we assess and critically discuss the extensions to Tully's original method that have led to this success: (i) correction for missing electronic decoherence, (ii) detection of trivial crossings and (iii) removal of decoherence correction-induced spurious charge transfer. If any one of these corrections is not included, the charge mobility diverges with system size, each for different physical reasons. Yet if they are included, convergence with system size, detailed balance and good internal consistency are achieved.
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Affiliation(s)
- Antoine Carof
- Department of Physics and Astronomy, University College London, London WC1E 6BT, UK.
| | - Samuele Giannini
- Department of Physics and Astronomy, University College London, London WC1E 6BT, UK.
| | - Jochen Blumberger
- Department of Physics and Astronomy, University College London, London WC1E 6BT, UK. and Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2 a, D-85748 Garching, Germany
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41
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Giannini S, Carof A, Ellis M, Yang H, Ziogos OG, Ghosh S, Blumberger J. Quantum localization and delocalization of charge carriers in organic semiconducting crystals. Nat Commun 2019; 10:3843. [PMID: 31451687 PMCID: PMC6710274 DOI: 10.1038/s41467-019-11775-9] [Citation(s) in RCA: 81] [Impact Index Per Article: 16.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/02/2019] [Accepted: 08/02/2019] [Indexed: 02/06/2023] Open
Abstract
Charge carrier transport in organic semiconductors is at the heart of many revolutionary technologies ranging from organic transistors, light-emitting diodes, flexible displays and photovoltaic cells. Yet, the nature of charge carriers and their transport mechanism in these materials is still unclear. Here we show that by solving the time-dependent electronic Schrödinger equation coupled to nuclear motion for eight organic molecular crystals, the excess charge carrier forms a polaron delocalized over up to 10-20 molecules in the most conductive crystals. The polaron propagates through the crystal by diffusive jumps over several lattice spacings at a time during which it expands more than twice its size. Computed values for polaron size and charge mobility are in excellent agreement with experimental estimates and correlate very well with the recently proposed transient localization theory.
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Affiliation(s)
- Samuele Giannini
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, WC1E 6BT, UK
| | - Antoine Carof
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, WC1E 6BT, UK
| | - Matthew Ellis
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, WC1E 6BT, UK
| | - Hui Yang
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, WC1E 6BT, UK
| | - Orestis George Ziogos
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, WC1E 6BT, UK
| | - Soumya Ghosh
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, WC1E 6BT, UK
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, WC1E 6BT, UK.
- Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2 a, D-85748, Garching, Germany.
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42
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Plasser F, Mai S, Fumanal M, Gindensperger E, Daniel C, González L. Strong Influence of Decoherence Corrections and Momentum Rescaling in Surface Hopping Dynamics of Transition Metal Complexes. J Chem Theory Comput 2019; 15:5031-5045. [DOI: 10.1021/acs.jctc.9b00525] [Citation(s) in RCA: 33] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Felix Plasser
- Institute for Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
- Department of Chemistry, Loughborough University, Loughborough, LE11 3TU, U.K
| | - Sebastian Mai
- Institute for Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
| | - Maria Fumanal
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR7177 CNRS/Université de Strasbourg 4 Rue Blaise Pascal BP296/R8, F-67008 Strasbourg, France
| | - Etienne Gindensperger
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR7177 CNRS/Université de Strasbourg 4 Rue Blaise Pascal BP296/R8, F-67008 Strasbourg, France
| | - Chantal Daniel
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR7177 CNRS/Université de Strasbourg 4 Rue Blaise Pascal BP296/R8, F-67008 Strasbourg, France
| | - Leticia González
- Institute for Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
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43
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Peng J, Xie Y, Hu D, Lan Z. Performance of trajectory surface hopping method in the treatment of ultrafast intersystem crossing dynamics. J Chem Phys 2019; 150:164126. [PMID: 31042919 DOI: 10.1063/1.5079426] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We carried out extensive studies to examine the performance of the fewest-switches surface hopping method in the description of the ultrafast intersystem crossing dynamic of various singlet-triplet (S-T) models by comparison with the results of the exact full quantum dynamics. Different implementation details and some derivative approaches were examined. As expected, it is better to perform the trajectory surface hopping calculations in the spin-adiabatic representation or by the local diabatization approach, instead of in the spin-diabatic representation. The surface hopping method provides reasonable results for the short-time dynamics in the S-T model with weak spin-orbital coupling (diabatic coupling), although it does not perform well in the models with strong spin-orbital coupling (diabatic coupling). When the system accesses the S-T potential energy crossing with rather high kinetic energy, the trajectory surface hopping method tends to produce a good description of the nonadiabatic intersystem crossing dynamics. The impact of the decoherence correction on the performance of the trajectory surface hopping is system dependent. It improves the result accuracy in many cases, while its influence may also be minor for other cases.
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Affiliation(s)
- Jiawei Peng
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety and MOE Key Laboratory of Environmental Theoretical Chemistry, SCNU Environmental Research Institute, South China Normal University, Guangzhou 510006, China
| | - Yu Xie
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety and MOE Key Laboratory of Environmental Theoretical Chemistry, SCNU Environmental Research Institute, South China Normal University, Guangzhou 510006, China
| | - Deping Hu
- MOE Key Laboratory of Organic Optoelectronics and Molecular Engineering, Department of Chemistry, Tsinghua University, Beijing 100084, China
| | - Zhenggang Lan
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety and MOE Key Laboratory of Environmental Theoretical Chemistry, SCNU Environmental Research Institute, South China Normal University, Guangzhou 510006, China
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44
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Mandal A, Sandoval C. JS, Shakib FA, Huo P. Quasi-Diabatic Propagation Scheme for Direct Simulation of Proton-Coupled Electron Transfer Reaction. J Phys Chem A 2019; 123:2470-2482. [DOI: 10.1021/acs.jpca.9b00077] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Affiliation(s)
- Arkajit Mandal
- Department of Chemistry, University of Rochester, 120 Trustee Road, Rochester, New York 14627, United States
| | - Juan S. Sandoval C.
- Department of Chemistry, University of Rochester, 120 Trustee Road, Rochester, New York 14627, United States
| | - Farnaz A. Shakib
- Department of Chemistry, University of Rochester, 120 Trustee Road, Rochester, New York 14627, United States
| | - Pengfei Huo
- Department of Chemistry, University of Rochester, 120 Trustee Road, Rochester, New York 14627, United States
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45
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Giannini S, Carof A, Blumberger J. Crossover from Hopping to Band-Like Charge Transport in an Organic Semiconductor Model: Atomistic Nonadiabatic Molecular Dynamics Simulation. J Phys Chem Lett 2018; 9:3116-3123. [PMID: 29787275 PMCID: PMC6077769 DOI: 10.1021/acs.jpclett.8b01112] [Citation(s) in RCA: 50] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/10/2018] [Accepted: 05/22/2018] [Indexed: 05/25/2023]
Abstract
The mechanism of charge transport (CT) in a 1D atomistic model of an organic semiconductor is investigated using surface hopping nonadiabatic molecular dynamics. The simulations benefit from a newly implemented state tracking algorithm that accounts for trivial surface crossings and from a projection algorithm that removes decoherence correction-induced artificial long-range charge transfer. The CT mechanism changes from slow hopping of a fully localized charge to fast diffusion of a polaron delocalized over several molecules as electronic coupling between the molecules exceeds the critical threshold V ≥ λ/2 (λ is the reorganization energy). With increasing temperature, the polaron becomes more localized and the mobility exhibits a "band-like" power law decay due to increased site energy and electronic coupling fluctuations (local and nonlocal electron-phonon coupling). Thus, reducing both types of electron-phonon coupling while retaining high mean electronic couplings should be part of the strategy toward discovery of new organics with high room-temperature mobilities.
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Affiliation(s)
- Samuele Giannini
- Department
of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
| | - Antoine Carof
- Department
of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
| | - Jochen Blumberger
- Department
of Physics and Astronomy and Thomas Young Centre, University College London, London WC1E 6BT, United Kingdom
- Institute
for Advanced Study, Technische Universität
München, Lichtenbergstrasse
2 a, D-85748 Garching, Germany
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46
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Sato K, Pradhan E, Asahi R, Akimov AV. Charge transfer dynamics at the boron subphthalocyanine chloride/C60 interface: non-adiabatic dynamics study with Libra-X. Phys Chem Chem Phys 2018; 20:25275-25294. [DOI: 10.1039/c8cp03841d] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Abstract
The Libra-X software for non-adiabatic molecular dynamics is reported. It is used to comprehensively study the charge transfer dynamics at the boron subphtalocyanine chloride (SubPc)/fullerene (C60) interface.
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Affiliation(s)
- Kosuke Sato
- Toyota Central Research and Development Laboratories, Inc
- Nagakute
- Japan
| | - Ekadashi Pradhan
- Department of Chemistry
- University at Buffalo
- The State University of New York
- New York 14260-3000
- USA
| | - Ryoji Asahi
- Toyota Central Research and Development Laboratories, Inc
- Nagakute
- Japan
| | - Alexey V. Akimov
- Department of Chemistry
- University at Buffalo
- The State University of New York
- New York 14260-3000
- USA
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