1
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Ke Y, Borrelli R, Thoss M. Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space. J Chem Phys 2022; 156:194102. [DOI: 10.1063/5.0088947] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We extend the twin-space formulation of the hierarchical equations of motion approach in combination with the matrix product state representation (introduced in J. Chem. Phys. 150, 234102, [2019]) to nonequilibrium scenarios where the open quantum system is coupled to a hybrid fermionic and bosonic environment. The key ideas used in the extension are a reformulation of the hierarchical equations of motion for the auxiliary density matrices into a time-dependent Schrödinger-like equation for an augmented multi-dimensional wave function as well as a tensor decomposition into a product of low-rank matrices. The new approach facilitates accurate simulations of non-equilibrium quantum dynamics in larger and more complex open quantum systems. The performance of the method is demonstrated for a model of a molecular junction exhibiting current-induced mode-selective vibrational excitation.
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Affiliation(s)
- Yaling Ke
- Institute of Physics, Albert-Ludwigs-Universität Freiburg, Germany
| | - Raffaele Borrelli
- Department of Agricoltural Science, Università degli Studi di Torino, Italy
| | - Michael Thoss
- University of Freiburg Institute of Physics, Germany
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2
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Chen Y, Huang L, Chen H, Chen Z, Zhang H, Xiao Z, Hong W. Towards Responsive
Single‐Molecule
Device. CHINESE J CHEM 2021. [DOI: 10.1002/cjoc.202000420] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Affiliation(s)
- Yaorong Chen
- State Key Laboratory of Physical Chemistry of Solid Surfaces, College of Chemistry and Chemical Engineering, Collaborative Innovation Center of Chemistry for Energy Materials, Xiamen University Xiamen Fujian 361005 China
| | - Longfeng Huang
- State Key Laboratory of Physical Chemistry of Solid Surfaces, College of Chemistry and Chemical Engineering, Collaborative Innovation Center of Chemistry for Energy Materials, Xiamen University Xiamen Fujian 361005 China
| | - Hang Chen
- State Key Laboratory of Physical Chemistry of Solid Surfaces, College of Chemistry and Chemical Engineering, Collaborative Innovation Center of Chemistry for Energy Materials, Xiamen University Xiamen Fujian 361005 China
| | - Zhixin Chen
- State Key Laboratory of Physical Chemistry of Solid Surfaces, College of Chemistry and Chemical Engineering, Collaborative Innovation Center of Chemistry for Energy Materials, Xiamen University Xiamen Fujian 361005 China
| | - Hewei Zhang
- State Key Laboratory of Physical Chemistry of Solid Surfaces, College of Chemistry and Chemical Engineering, Collaborative Innovation Center of Chemistry for Energy Materials, Xiamen University Xiamen Fujian 361005 China
| | - Zongyuan Xiao
- State Key Laboratory of Physical Chemistry of Solid Surfaces, College of Chemistry and Chemical Engineering, Collaborative Innovation Center of Chemistry for Energy Materials, Xiamen University Xiamen Fujian 361005 China
| | - Wenjing Hong
- State Key Laboratory of Physical Chemistry of Solid Surfaces, College of Chemistry and Chemical Engineering, Collaborative Innovation Center of Chemistry for Energy Materials, Xiamen University Xiamen Fujian 361005 China
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3
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Kuperman M, Nagar L, Peskin U. Mechanical Stabilization of Nanoscale Conductors by Plasmon Oscillations. NANO LETTERS 2020; 20:5531-5537. [PMID: 32538634 PMCID: PMC7467764 DOI: 10.1021/acs.nanolett.0c02187] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/24/2020] [Revised: 06/15/2020] [Indexed: 06/10/2023]
Abstract
External driving of the Fermion reservoirs interacting with a nanoscale charge-conductor is shown to enhance its mechanical stability during resonant tunneling. This counterintuitive cooling effect is predicted despite the net energy flow into the device. Field-induced plasmon oscillations stir the energy distribution of charge carriers near the reservoir's chemical potentials into a nonequilibrium state with favored transport of low-energy electrons. Consequently, excess heating of mechanical degrees of freedom in the conductor is suppressed. We demonstrate and analyze this effect for a generic model of mechanical instability in nanoelectronic devices, covering a broad range of parameters. Plasmon-induced stabilization is suggested as a feasible strategy to confront a major problem of current-induced heating and breakdown of nanoscale systems operating far from equilibrium.
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Affiliation(s)
- Maayan Kuperman
- Schulich
Faculty of Chemistry and The Russell Berrie Nanotechnology Institute, Technion − Israel Institute of Technology, Haifa 32000, Israel
| | - Linoy Nagar
- Schulich
Faculty of Chemistry and The Russell Berrie Nanotechnology Institute, Technion − Israel Institute of Technology, Haifa 32000, Israel
| | - Uri Peskin
- Schulich
Faculty of Chemistry and The Russell Berrie Nanotechnology Institute, Technion − Israel Institute of Technology, Haifa 32000, Israel
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4
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Affiliation(s)
- Uri Peskin
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
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5
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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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6
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Dou W, Schinabeck C, Thoss M, Subotnik JE. A broadened classical master equation approach for treating electron-nuclear coupling in non-equilibrium transport. J Chem Phys 2018; 148:102317. [DOI: 10.1063/1.4992784] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Wenjie Dou
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Christian Schinabeck
- Institute for Theoretical Physics and Interdisciplinary Center for Molecular Materials, University Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058 Erlangen, Germany
| | - Michael Thoss
- Institute for Theoretical Physics and Interdisciplinary Center for Molecular Materials, University Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058 Erlangen, Germany
- Institute of Physics, University of Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany
| | - Joseph E. Subotnik
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
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7
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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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8
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Kuperman M, Peskin U. Field-induced inversion of resonant tunneling currents through single molecule junctions and the directional photo-electric effect. J Chem Phys 2017. [DOI: 10.1063/1.4973891] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023] Open
Affiliation(s)
- Maayan Kuperman
- Schulich Faculty of Chemistry, Technion—Israel Institute of Technology, Haifa 32000, Israel
| | - Uri Peskin
- Schulich Faculty of Chemistry, Technion—Israel Institute of Technology, Haifa 32000, Israel
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9
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Frisenda R, Perrin ML, van der Zant HSJ. Probing the local environment of a single OPE3 molecule using inelastic tunneling electron spectroscopy. BEILSTEIN JOURNAL OF NANOTECHNOLOGY 2015; 6:2477-2484. [PMID: 26885460 PMCID: PMC4734430 DOI: 10.3762/bjnano.6.257] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/22/2015] [Accepted: 12/09/2015] [Indexed: 06/05/2023]
Abstract
We study single-molecule oligo(phenylene ethynylene)dithiol junctions by means of inelastic electron tunneling spectroscopy (IETS). The molecule is contacted with gold nano-electrodes formed with the mechanically controllable break junction technique. We record the IETS spectrum of the molecule from direct current measurements, both as a function of time and electrode separation. We find that for fixed electrode separation the molecule switches between various configurations, which are characterized by different IETS spectra. Similar variations in the IETS signal are observed during atomic rearrangements upon stretching of the molecular junction. Using quantum chemistry calculations, we identity some of the vibrational modes which constitute a chemical fingerprint of the molecule. In addition, changes can be attributed to rearrangements of the local molecular environment, in particular at the molecule-electrode interface. This study shows the importance of taking into account the interaction with the electrodes when describing inelastic contributions to transport through single-molecule junctions.
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Affiliation(s)
- Riccardo Frisenda
- Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, Netherlands
| | - Mickael L Perrin
- Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, Netherlands
| | - Herre S J van der Zant
- Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, Netherlands
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10
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Venkatramani R, Wierzbinski E, Waldeck DH, Beratan DN. Breaking the simple proportionality between molecular conductances and charge transfer rates. Faraday Discuss 2014; 174:57-78. [DOI: 10.1039/c4fd00106k] [Citation(s) in RCA: 40] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
A theoretical framework is presented to describe and to understand the observed relationship between molecular conductances and charge transfer rates across molecular bridges as a function of length, structure, and charge transfer mechanism. The approach uses a reduced density matrix formulation with a phenomenological treatment of system–bath couplings to describe charge transfer kinetics and a Green's function based Landauer–Buttiker method to describe steady-state currents. Application of the framework is independent of the transport regime and includes bath-induced decoherence effects. This model shows that the relationship between molecular conductances and charge transfer rates follows a power-law. The nonlinear rate–conductance relationship is shown to arise from differences in the charge transport barrier heights and from differences in environmental decoherence rates for the two experiments. This model explains otherwise puzzling correlations between molecular conductances and electrochemical kinetics.
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Affiliation(s)
- Ravindra Venkatramani
- Department of Chemical Sciences
- Tata Institute of Fundamental Research
- Mumbai 400 005, India
- Department of Chemistry
- Duke University
| | | | | | - David N. Beratan
- Department of Chemistry
- Duke University
- Durham, USA
- Departments of Biochemistry and Physics
- Duke University
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11
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Optically induced current in molecular conduction nanojunctions with semiconductor contacts. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.02.045] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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12
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Härtle R, Butzin M, Rubio-Pons O, Thoss M. Quantum interference and decoherence in single-molecule junctions: how vibrations induce electrical current. PHYSICAL REVIEW LETTERS 2011; 107:046802. [PMID: 21867029 DOI: 10.1103/physrevlett.107.046802] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/21/2011] [Revised: 06/16/2011] [Indexed: 05/31/2023]
Abstract
Quantum interference and decoherence in single-molecule junctions is analyzed employing a nonequilibrium Green's function approach. Electrons tunneling through quasidegenerate states of a molecular junction exhibit interference effects. We show that electronic-vibrational coupling, inherent to any molecular junction, strongly quenches such interference effects. This decoherence mechanism may cause significantly larger electrical currents and is particularly pronounced if the junction is vibrationally highly excited, e.g., due to inelastic processes in the resonant transport regime.
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Affiliation(s)
- R Härtle
- Institut für Theoretische Physik und Interdisziplinäres Zentrum für Molekulare Materialien, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058 Erlangen, Germany
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13
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Secker D, Wagner S, Ballmann S, Härtle R, Thoss M, Weber HB. Resonant vibrations, peak broadening, and noise in single molecule contacts: the nature of the first conductance peak. PHYSICAL REVIEW LETTERS 2011; 106:136807. [PMID: 21517410 DOI: 10.1103/physrevlett.106.136807] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/08/2010] [Revised: 02/23/2011] [Indexed: 05/28/2023]
Abstract
We carry out experiments on single-molecule junctions at low temperatures, using the mechanically controlled break junction technique. Analyzing the results obtained with various molecules, the nature of the first peak in the differential conductance spectra is elucidated. We observe an electronic transition with a vibronic fine structure, if the first peak occurs at small voltages. This regime can accurately be described by the resonant tunneling model. At higher voltages, additional smearing is observed and no fine structure can be resolved. A detailed analysis of the noise signal indicates that the onset of current is associated with strong fluctuations as a precursor of current flow. The data indicate that a complex fluctuation-driven transport mechanism takes over in this regime.
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Affiliation(s)
- Daniel Secker
- Lehrstuhl für Angewandte Physik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstrasse 7, 91058 Erlangen, Germany
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14
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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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