1
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Iv M, Rahav S, Peskin U. Emergence of Boltzmann Subspaces in Open Quantum Systems Far from Equilibrium. PHYSICAL REVIEW LETTERS 2024; 132:110401. [PMID: 38563930 DOI: 10.1103/physrevlett.132.110401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/26/2023] [Accepted: 02/05/2024] [Indexed: 04/04/2024]
Abstract
Single molecule junctions are important examples of complex out-of-equilibrium many-body quantum systems. We identify a nontrivial clustering of steady state populations into distinctive subspaces with Boltzmann-like statistics, which persist far from equilibrium. Such Boltzmann subspaces significantly reduce the information needed to describe the steady state, enabling modeling of high-dimensional systems that are otherwise beyond the reach of current computations. The emergence of Boltzmann subspaces is demonstrated analytically and numerically for fermionic transport systems of increasing complexity.
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Affiliation(s)
- Michael Iv
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
| | - Saar Rahav
- 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
- The Helen Diller Quantum Center, Technion-Israel Institute of Technology, Haifa 32000, Israel
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2
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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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3
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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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4
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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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5
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Sowa JK, Lambert N, Seideman T, Gauger EM. Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions. II. A self-consistent Born approach. J Chem Phys 2020; 152:064103. [PMID: 32061212 DOI: 10.1063/1.5143146] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
Abstract
Marcus and Landauer-Büttiker approaches to charge transport through molecular junctions describe two contrasting mechanisms of electronic conduction. In previous work, we have shown how these charge transport theories can be unified in the single-level case by incorporating lifetime broadening into the second-order quantum master equation. Here, we extend our previous treatment by incorporating lifetime broadening in the spirit of the self-consistent Born approximation. By comparing both theories to numerically converged hierarchical-equations-of-motion results, we demonstrate that our novel self-consistent approach rectifies shortcomings of our earlier framework, which are present especially in the case of relatively strong electron-vibrational coupling. We also discuss circumstances under which the theory developed here simplifies to the generalized theory developed in our earlier work. Finally, by considering the high-temperature limit of our new self-consistent treatment, we show how lifetime broadening can also be self-consistently incorporated into Marcus theory. Overall, we demonstrate that the self-consistent approach constitutes a more accurate description of molecular conduction while retaining most of the conceptual simplicity of our earlier framework.
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Affiliation(s)
- Jakub K Sowa
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
| | - Neill Lambert
- Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan
| | - Tamar Seideman
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
| | - Erik M Gauger
- SUPA, Institute of Photonics and Quantum Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
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6
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Affiliation(s)
- Uri Peskin
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
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7
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Sowa JK, Mol JA, Briggs GAD, Gauger EM. Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions: A unified framework. J Chem Phys 2018; 149:154112. [DOI: 10.1063/1.5049537] [Citation(s) in RCA: 47] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Affiliation(s)
- Jakub K. Sowa
- Department of Materials, University of Oxford, Parks Road, OX1 3PH Oxford, United Kingdom
| | - Jan A. Mol
- Department of Materials, University of Oxford, Parks Road, OX1 3PH Oxford, United Kingdom
| | - G. Andrew D. Briggs
- Department of Materials, University of Oxford, Parks Road, OX1 3PH Oxford, United Kingdom
| | - Erik M. Gauger
- SUPA, Institute of Photonics and Quantum Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
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8
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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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9
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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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10
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Foti G, Vázquez H. Origin of Vibrational Instabilities in Molecular Wires with Separated Electronic States. J Phys Chem Lett 2018; 9:2791-2796. [PMID: 29741892 DOI: 10.1021/acs.jpclett.8b00940] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Current-induced heating in molecular junctions stems from the interaction between tunneling electrons and localized molecular vibrations. If the electronic excitation of a given vibrational mode exceeds heat dissipation, a situation known as vibrational instability is established, which can seriously compromise the integrity of the junction. Using out of equilibrium first-principles calculations, we demonstrate that vibrational instabilities can take place in the general case of molecular wires with separated unoccupied electronic states. From the ab initio results, we derive a model to characterize unstable vibrational modes and construct a diagram that maps mode stability. These results generalize previous theoretical work and predict vibrational instabilities in a new regime.
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Affiliation(s)
- Giuseppe Foti
- Institute of Physics , Academy of Sciences of the Czech Republic , Cukrovarnicka 10 , Prague , Czech Republic
| | - Héctor Vázquez
- Institute of Physics , Academy of Sciences of the Czech Republic , Cukrovarnicka 10 , Prague , Czech Republic
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11
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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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12
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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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13
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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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14
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Friedman HM, Agarwalla BK, Segal D. Effects of vibrational anharmonicity on molecular electronic conduction and thermoelectric efficiency. J Chem Phys 2017. [DOI: 10.1063/1.4965824] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Hava Meira Friedman
- Chemical Physics Theory Group, Department of Chemistry, and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George St., Toronto, Ontario M5S 3H6, Canada
| | - Bijay Kumar Agarwalla
- Chemical Physics Theory Group, Department of Chemistry, and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George St., Toronto, Ontario M5S 3H6, Canada
| | - Dvira Segal
- Chemical Physics Theory Group, Department of Chemistry, and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George St., Toronto, Ontario M5S 3H6, Canada
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15
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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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16
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Tao Z, Wang X, Wei Y, Lv L, Wu D, Yang M. A theoretical study of molecular structure, optical properties and bond activation of energetic compound FOX-7 under intense electric fields. Chem Phys 2017. [DOI: 10.1016/j.chemphys.2016.12.004] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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17
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Wang H, Thoss M. Employing an interaction picture to remove artificial correlations in multilayer multiconfiguration time-dependent Hartree simulations. J Chem Phys 2016; 145:164105. [DOI: 10.1063/1.4965712] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Haobin Wang
- Department of Chemistry, University of Colorado Denver, Denver, Colorado 80217-3364, USA
| | - Michael Thoss
- Institute for Theoretical Physics and Interdisciplinary Center for Molecular Materials, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, D-91058, Germany
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18
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Agarwalla BK, Segal D. Reconciling perturbative approaches in phonon-assisted transport junctions. J Chem Phys 2016; 144:074102. [PMID: 26896971 DOI: 10.1063/1.4941582] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present consistent results for molecular conduction using two central-complementary approaches: the non-equilibrium Green's function technique and the quantum master equation method. Our model describes electronic conduction in a donor-acceptor junction in which electron transfer is coupled to nuclear motion, modeled by a harmonic vibrational mode. This primary mode is further coupled to secondary phonon modes, a thermal bath. Assuming weak electron-phonon coupling but an arbitrary large molecule-metal hybridization, we compute several non-equilibrium transport quantities: the mean phonon number of the primary mode, charge current statistics. We further present scaling relations for the cumulants valid in the large voltage regime. Our analysis illustrates that the non-equilibrium Green's function technique and the quantum master equation method can be worked out consistently, when taking into account corresponding scattering processes.
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Affiliation(s)
- Bijay Kumar Agarwalla
- Chemical Physics Theory Group, Department of Chemistry, and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George St., Toronto, Ontario M5S 3H6, Canada
| | - Dvira Segal
- Chemical Physics Theory Group, Department of Chemistry, and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George St., Toronto, Ontario M5S 3H6, Canada
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19
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Tian G, Duan S, Zhang GP, Hu W, Luo Y. The effect of Duschinsky rotation on charge transport properties of molecular junctions in the sequential tunneling regime. Phys Chem Chem Phys 2015; 17:23007-16. [PMID: 26272223 DOI: 10.1039/c5cp02736e] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present here a systematic theoretical study on the effect of Duschinsky rotation on charge transport properties of molecular junctions in the sequential tunneling regime. In the simulations we assume that only two electronic charging states each coupled to a two dimensional vibrational potential energy surface (PES) are involved in the transport process. The Duschinsky rotation effect is accounted by varying the rotational angle between the two sets of displaced PESs. Both harmonic potential and anharmonic Morse potential have been considered for the cases of the intermediate to strong electron-vibration couplings. Our calculations show that the inclusion of the Duschinsky rotation effect can significantly change the charge transport properties of a molecular junction. Such an effect makes the otherwise symmetric Coulomb diamond become asymmetric in harmonic potentials. Depending on the angle of the rotation, the low bias current could be significantly suppressed or enhanced. This effect is particularly prominent in the Franck-Condon (FC) blockade regime where the electron-vibration coupling is strong. These changes are caused by the variation of the FC factors which are closely related to the rotational angle between the two sets of PESs involved in the charge transport process. For a molecular junction with Morse potentials, the changes caused by Duschinsky rotation are much more complicated. Both the amplitude and shape of the Coulomb diamond are closely dependent on the rotational angle in the whole range from 0 to 2π. One interesting result is that with a rotation angle of π (and also π/2 for certain cases) symmetric Coulomb diamonds can even be formed from the intrinsically asymmetric Morse potential. These results could be important for the interpretation of experimental observations.
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Affiliation(s)
- Guangjun Tian
- Department of Theoretical Chemistry and Biology, School of Biotechnology, Royal Institute of Technology, SE-106 91 Stockholm, Sweden.
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20
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Pozner R, Lifshitz E, Peskin U. Negative Differential Resistance Probe for Interdot Interactions in a Double Quantum Dot Array. J Phys Chem Lett 2015; 6:1521-1528. [PMID: 26263306 DOI: 10.1021/acs.jpclett.5b00434] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Colloidal quantum dots are free-standing nanostructures with chemically tunable electronic properties. In this work, we consider a new STM tip-double quantum dot (DQD)-surface setup with a unique connectivity, in which the tip is coupled to a single dot and the coupling to the surface is shared by both dots. Our theoretical analysis reveals a unique negative differential resistance (NDR) effect attributed to destructive interference during charge transfer from the DQD to the surface. This NDR can be used as a sensitive probe for interdot interactions in DQD arrays.
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Affiliation(s)
- Roni Pozner
- †Schulich Faculty of Chemistry, ‡Solid State Institute, ¶Russell Berrie Nanotechnology Institute, and ∥Lise Meitner Center for Computational Quantum Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
| | - Efrat Lifshitz
- †Schulich Faculty of Chemistry, ‡Solid State Institute, ¶Russell Berrie Nanotechnology Institute, and ∥Lise Meitner Center for Computational Quantum Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
| | - Uri Peskin
- †Schulich Faculty of Chemistry, ‡Solid State Institute, ¶Russell Berrie Nanotechnology Institute, and ∥Lise Meitner Center for Computational Quantum Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
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21
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Inelastic electron tunneling through degenerate and nondegenerate ground state polymeric junctions. Chem Phys 2015. [DOI: 10.1016/j.chemphys.2015.03.005] [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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22
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Zhang Y, Yam C, Chen G. Dissipative time-dependent quantum transport theory: Quantum interference and phonon induced decoherence dynamics. J Chem Phys 2015; 142:164101. [DOI: 10.1063/1.4918771] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yu Zhang
- Department of Chemistry, The University of Hong Kong, Pokfulam Road, Hong Kong, China
| | - ChiYung Yam
- Department of Chemistry, The University of Hong Kong, Pokfulam Road, Hong Kong, China
- Beijing Computational Science Research Center, Beijing 100084, China
| | - GuanHua Chen
- Department of Chemistry, The University of Hong Kong, Pokfulam Road, Hong Kong, China
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23
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Krause T, Brandes T, Esposito M, Schaller G. Thermodynamics of the polaron master equation at finite bias. J Chem Phys 2015; 142:134106. [DOI: 10.1063/1.4916359] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Affiliation(s)
- Thilo Krause
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany
| | - Tobias Brandes
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany
| | - Massimiliano Esposito
- Complex Systems and Statistical Mechanics, University of Luxembourg, L-1511 Luxembourg, Luxembourg
| | - Gernot Schaller
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany
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24
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Pozner R, Lifshitz E, Peskin U. Charge transport-induced recoil and dissociation in double quantum dots. NANO LETTERS 2014; 14:6244-6249. [PMID: 25259800 DOI: 10.1021/nl502562g] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Colloidal quantum dots (CQDs) are free-standing nanostructures with chemically tunable electronic properties. This combination of properties offers intriguing new possibilities for nanoelectromechanical devices that were not explored yet. In this work, we consider a new scanning tunneling microscopy setup for measuring ligand-mediated effective interdot forces and for inducing motion of individual CQDs within an array. Theoretical analysis of a double quantum dot structure within this setup reveals for the first time voltage-induced interdot recoil and dissociation with pronounced changes in the current. Considering realistic microscopic parameters, our approach enables correlating the onset of mechanical motion under bias voltage with the effective ligand-mediated binding forces.
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Affiliation(s)
- Roni Pozner
- Schulich Faculty of Chemistry, ‡the Lise Meitner Center for Computational Quantum Chemistry, §Solid State Institute, and ∥Russell Berrie Nanotechnology Institute, Technion-Israel Institute of Technology , Haifa 32000, Israel
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25
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Simine L, Segal D. Electron transport in nanoscale junctions with local anharmonic modes. J Chem Phys 2014; 141:014704. [DOI: 10.1063/1.4885051] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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26
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Simine L, Segal D. Path-integral simulations with fermionic and bosonic reservoirs: Transport and dissipation in molecular electronic junctions. J Chem Phys 2013; 138:214111. [DOI: 10.1063/1.4808108] [Citation(s) in RCA: 58] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
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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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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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Brisker-Klaiman D, Peskin U. Ballistic charge transport through bio-molecules in a dissipative environment. Phys Chem Chem Phys 2012; 14:13835-40. [DOI: 10.1039/c2cp41197k] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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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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