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Erpenbeck A, Ke Y, Peskin U, Thoss M. How an electrical current can stabilize a molecular nanojunction. NANOSCALE 2023; 15:16333-16343. [PMID: 37766513 DOI: 10.1039/d3nr02176a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/29/2023]
Abstract
The stability of molecular junctions under transport is of the utmost importance for the field of molecular electronics. This question is often addressed within the paradigm of current-induced heating of nuclear degrees of freedom or current-induced forces acting upon the nuclei. At the same time, an essential characteristic of the failure of a molecular electronic device is its changing conductance - typically from a finite value for the intact device to zero for a device that lost its functionality. In this publication, we focus on the current-induced changes in the molecular conductance, which are inherent to molecular junctions at the limit of mechanical stability. We employ a numerically exact framework based on the hierarchical equations of motion approach, which treats both electronic and nuclear degrees of freedom on an equal footing and does not impose additional assumptions. Studying generic model systems for molecular junctions with dissociative potentials for a wide range of parameters spanning the adiabatic and the nonadiabatic regime, we find that molecular junctions that exhibit a decrease in conductance upon dissociation are more stable than junctions that are more conducting in their dissociated state. This represents a new mechanism that stabilizes molecular junctions under current. Moreover, we identify characteristic signatures in the current of breaking junctions related to the interplay between changes in the conductance and the nuclear configuration and show how these are related to properties of the leads rather than characteristics of the molecule itself.
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Affiliation(s)
- André Erpenbeck
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.
| | - Yaling Ke
- Institute of Physics, University of Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany
| | - Uri Peskin
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
| | - Michael Thoss
- Institute of Physics, University of Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany
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2
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Tovi Y, Caspary Toroker M. Pathways for charge transport through material interfaces. J Chem Phys 2020; 153:024104. [PMID: 32668950 DOI: 10.1063/5.0006273] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Modeling charge transport across material interfaces is important for understanding the limitations of electronic devices such as transistors, electrochemical cells, sensors, and batteries. However, modeling the entire structure and full dimensionality of an interface can be computationally demanding. In this study, we investigate the validity of an efficient reduced one-dimensional Hamiltonian for calculating charge transport along interfaces by comparing to a two-dimensional model that accounts for additional charge transport pathways. We find that the one-dimensional model successfully predicts the qualitative trend of charge transmission probability among Pt/Fe2O3 and Ag/Fe2O3 interfaces. However, the two-dimensional model provides additional information on possible pathways that are not perpendicular to the interface direction. These charge transport pathways are directed along the lowest potential energy profile of the interface that correlates with the crystal structure of the constituting materials. However, the two-dimensional paths are longer and take more scattering time. Therefore, the one-dimensional model may hold sufficient information for qualitative estimation of charge transport through some material interfaces.
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Affiliation(s)
- Yanay Tovi
- Department of Materials Science and Engineering, Technion - Israel Institute of Technology, Haifa 3200003, Israel
| | - Maytal Caspary Toroker
- Department of Materials Science and Engineering, Technion - Israel Institute of Technology, Haifa 3200003, Israel
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3
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Affiliation(s)
- Uri Peskin
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
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Kershaw VF, Kosov DS. Non-equilibrium Green’s function theory for non-adiabatic effects in quantum transport: Inclusion of electron-electron interactions. J Chem Phys 2019; 150:074101. [DOI: 10.1063/1.5058735] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Vincent F. Kershaw
- College of Science and Engineering, James Cook University, Townsville, QLD, 4811, Australia
| | - Daniel S. Kosov
- College of Science and Engineering, James Cook University, Townsville, QLD, 4811, Australia
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5
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Chen LY, Kuo TC, Hong ZS, Cheng MJ, Goddard WA. Mechanism and kinetics for both thermal and electrochemical reduction of N2 catalysed by Ru(0001) based on quantum mechanics. Phys Chem Chem Phys 2019; 21:17605-17612. [DOI: 10.1039/c9cp03187a] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
QM calculations were used to predict the free energy surfaces for N2 thermal and electrochemical reduction (N2TR and N2ER) on Ru(0001), to find the detailed atomistic mechanism and kinetics, and provide the basis for improving the efficiency of N2ER.
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Affiliation(s)
- Liang-Yu Chen
- Department of Chemistry
- National Cheng Kung University
- Tainan
- Taiwan
| | - Tung-Chun Kuo
- Department of Chemistry
- National Cheng Kung University
- Tainan
- Taiwan
| | - Zih-Siang Hong
- Department of Chemistry
- National Cheng Kung University
- Tainan
- Taiwan
| | - Mu-Jeng Cheng
- Department of Chemistry
- National Cheng Kung University
- Tainan
- Taiwan
| | - William A. Goddard
- Materials and Process Simulation Center (139-74)
- California Institute of Technology
- Pasadena
- USA
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6
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Erpenbeck A, Hertlein C, Schinabeck C, Thoss M. Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures. J Chem Phys 2018; 149:064106. [PMID: 30111120 DOI: 10.1063/1.5041716] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The hierarchical quantum master equation (HQME) approach is an accurate method to describe quantum transport in interacting nanosystems. It generalizes perturbative master equation approaches by including higher-order contributions as well as non-Markovian memory and allows for the systematic convergence to the numerically exact result. As the HQME method relies on a decomposition of the bath correlation function in terms of exponentials, however, its application to systems at low temperatures coupled to baths with complexer band structures has been a challenge. In this publication, we outline an extension of the HQME approach, which uses re-summation over poles and can be applied to calculate transient currents at a numerical cost that is independent of temperature and band structure of the baths. We demonstrate the performance of the extended HQME approach for noninteracting tight-binding model systems of increasing complexity as well as for the spinless Anderson-Holstein model.
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Affiliation(s)
- A Erpenbeck
- Institute for Theoretical Physics and Interdisciplinary Center for Molecular Materials, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058 Erlangen, Germany
| | - C Hertlein
- Institute for Theoretical Physics and Interdisciplinary Center for Molecular Materials, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058 Erlangen, Germany
| | - C Schinabeck
- Institute for Theoretical Physics and Interdisciplinary Center for Molecular Materials, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058 Erlangen, Germany
| | - M Thoss
- Institute for Theoretical Physics and Interdisciplinary Center for Molecular Materials, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058 Erlangen, Germany
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Gelbwaser-Klimovsky D, Aspuru-Guzik A, Thoss M, Peskin U. High-Voltage-Assisted Mechanical Stabilization of Single-Molecule Junctions. NANO LETTERS 2018; 18:4727-4733. [PMID: 29923410 DOI: 10.1021/acs.nanolett.8b01127] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/15/2023]
Abstract
Resonant tunneling is an efficient mechanism for charge transport through nanoscale conductance junctions due to the relatively high currents involved. However, continuous charging and discharging cycles of the nanoconductor during resonant tunneling often lead to mechanical instability. The realization of efficient nanoscale electronic components therefore depends to a large extent on the ability to mechanically stabilize them during resonant transport. In this work, we focus on single-molecule junctions, demonstrating that their mechanical stability during resonant transport can be increased by increasing the bias voltage. This counter-intuitive effect is attributed to the energy dependence of the molecule-lead coupling densities, which promote the rate of transport-induced cooling of molecular vibrations at higher voltages. The required energy dependence is characteristic of realistic electrodes (such as graphene), which cannot be modeled within the commonly invoked wide-band approximation. Our research provides new guidelines for the design of mechanically stable molecular devices operating in the regime of resonant charge transport and demonstrates these guidelines while considering realistic features of single-molecule junctions.
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Affiliation(s)
- David Gelbwaser-Klimovsky
- Department of Chemistry and Chemical Biology , Harvard University , Cambridge , Massachusetts 02138 , United States
| | - Alán Aspuru-Guzik
- Department of Chemistry and Chemical Biology , Harvard University , Cambridge , Massachusetts 02138 , United States
| | - Michael Thoss
- Institute of Physics , University of Freiburg , Hermann-Herder-Strasse 3 , D-79104 Freiburg , Germany
| | - Uri Peskin
- Schulich Faculty of Chemistry , Technion-Israel Institute of Technology , Haifa 32000 , Israel
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Kershaw VF, Kosov DS. Non-adiabatic corrections to electric current in molecular junctions due to nuclear motion at the molecule-electrode interfaces. J Chem Phys 2018; 149:044121. [DOI: 10.1063/1.5028333] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Vincent F. Kershaw
- College of Science and Engineering, James Cook University, Townsville, QLD 4811, Australia
| | - Daniel S. Kosov
- College of Science and Engineering, James Cook University, Townsville, QLD 4811, Australia
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9
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Wang H, Thoss M. A multilayer multiconfiguration time-dependent Hartree study of the nonequilibrium Anderson impurity model at zero temperature. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.03.021] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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10
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Thoss M, Evers F. Perspective: Theory of quantum transport in molecular junctions. J Chem Phys 2018; 148:030901. [DOI: 10.1063/1.5003306] [Citation(s) in RCA: 105] [Impact Index Per Article: 17.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Michael Thoss
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany
| | - Ferdinand Evers
- Institute of Theoretical Physics, University of Regensburg, Universitätsstr. 31, D-93053 Regensburg, Germany
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11
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Kershaw VF, Kosov DS. Nonequilibrium Green’s function theory for nonadiabatic effects in quantum electron transport. J Chem Phys 2017; 147:224109. [DOI: 10.1063/1.5007071] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Vincent F. Kershaw
- College of Science and Engineering, James Cook University, Townsville, QLD 4811, Australia
| | - Daniel S. Kosov
- College of Science and Engineering, James Cook University, Townsville, QLD 4811, Australia
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12
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Ueda A, Utsumi Y, Tokura Y, Entin-Wohlman O, Aharony A. AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime. J Chem Phys 2017. [DOI: 10.1063/1.4973707] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Affiliation(s)
- A. Ueda
- Faculty of Pure and Applied Sciences, Division of Applied Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan
| | - Y. Utsumi
- Department of Physics Engineering, Faculty of Engineering, Mie University, Tsu, Mie 514-8507, Japan
| | - Y. Tokura
- Faculty of Pure and Applied Sciences, Division of Physics, University of Tsukuba, Tsukuba 305-8573, Japan
| | - O. Entin-Wohlman
- Physics Department, Ben Gurion University, Beer Sheva 84105, Israel
- Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
| | - A. Aharony
- Physics Department, Ben Gurion University, Beer Sheva 84105, Israel
- Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
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13
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Wang H, Thoss M. On the accuracy of the noninteracting electron approximation for vibrationally coupled electron transport. Chem Phys 2016. [DOI: 10.1016/j.chemphys.2016.06.002] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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14
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Li B, Wilner EY, Thoss M, Rabani E, Miller WH. A quasi-classical mapping approach to vibrationally coupled electron transport in molecular junctions. J Chem Phys 2014; 140:104110. [DOI: 10.1063/1.4867789] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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15
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Wang H, Thoss M. Numerically exact, time-dependent study of correlated electron transport in model molecular junctions. J Chem Phys 2013; 138:134704. [DOI: 10.1063/1.4798404] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Wang H, Thoss M. Multilayer Multiconfiguration Time-Dependent Hartree Study of Vibrationally Coupled Electron Transport Using the Scattering-State Representation. J Phys Chem A 2013; 117:7431-41. [DOI: 10.1021/jp401464b] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Affiliation(s)
- Haobin Wang
- Department of Chemistry and Biochemistry, MSC 3C, New Mexico State University,
Las Cruces, New Mexico 88003, United States, and Beijing Computational Science Research Center, No. 3 He-Qing
Road, Hai-Dian District, Beijing 100084, P.R. China
| | - Michael Thoss
- Institute for Theoretical Physics and Interdisciplinary
Center for Molecular Materials, Friedrich-Alexander-Universität, Erlangen-Nürnberg, Staudtstrasse 7/B2, D-91058, Germany
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17
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Swenson DW, Cohen G, Rabani E. A semiclassical model for the non-equilibrium quantum transport of a many-electron Hamiltonian coupled to phonons. Mol Phys 2012. [DOI: 10.1080/00268976.2012.665505] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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18
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Wang H, Pshenichnyuk I, Härtle R, Thoss M. Numerically exact, time-dependent treatment of vibrationally coupled electron transport in single-molecule junctions. J Chem Phys 2011; 135:244506. [DOI: 10.1063/1.3660206] [Citation(s) in RCA: 62] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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19
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Volkovich R, Härtle R, Thoss M, Peskin U. Bias-controlled selective excitation of vibrational modes in molecular junctions: a route towards mode-selective chemistry. Phys Chem Chem Phys 2011; 13:14333-49. [DOI: 10.1039/c1cp21161g] [Citation(s) in RCA: 49] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
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20
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A quantum mechanical flux correlation approach to steady-state transport rates in molecular junctions. Chem Phys 2010. [DOI: 10.1016/j.chemphys.2009.12.001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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21
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Dash LK, Ness H, Godby RW. Nonequilibrium electronic structure of interacting single-molecule nanojunctions: Vertex corrections and polarization effects for the electron-vibron coupling. J Chem Phys 2010; 132:104113. [DOI: 10.1063/1.3339390] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Affiliation(s)
- L K Dash
- Department of Physics, University of York, York YO10 5DD, United Kingdom.
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Troisi A. Inelastic electron tunnelling in saturated molecules with different functional groups: correlations and symmetry considerations from a computational study. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2008; 20:374111. [PMID: 21694418 DOI: 10.1088/0953-8984/20/37/374111] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The inelastic electron tunnelling (IET) spectra of a series of molecules with the commonest functional groups are evaluated computationally. It is found that ether, secondary amine and thioether groups do not leave any characteristic signatures on the IET spectrum (in comparison with simple alkanes) and they cannot be used as 'tracers' for the tunnelling path of the electron. In contrast, carbonyl and ester groups modify the appearance of the IET spectrum considerably. The series of computations was also used to validate, for the case of saturated molecules, the propensity rules for IET spectroscopy proposed in the literature. It is found that totally symmetric vibrations give the largest contribution to the spectrum and that there is no correlation between IET and infrared or Raman absorption intensities.
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Affiliation(s)
- Alessandro Troisi
- Department of Chemistry and Centre of Scientific Computing, University of Warwick, Coventry CV4 7AL, UK
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