Inelastic Electron Tunneling via Molecular Vibrations in Single-Molecule Transistors

Yu, Lam H.; Keane, Zachary; Ciszek, Jacob W.; Cheng, Long; Stewart, Michael; Tour, James M.; Natelson, Douglas

doi:10.1103/physrevlett.93.266802

Cited by 316 publications

(304 citation statements)

References 27 publications

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“…34 A more detailed understanding of the line shape is needed to be able to assign features in the current-voltage characteristics to vibrational modes of the molecule. Such studies should include the dependence of the vibrational energy on the gate voltage 32 and possibly on the charge state and the environment.…”

Section: Molecular Junctions With Opv-3mentioning

confidence: 99%

Molecular three-terminal devices: fabrication and measurements

et al. 2006

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Incorporation of a third, gate electrode in the device geometry of molecular junctions is necessary to identify the transport mechanism. At present, the most popular technique to fabricate three-terminal molecular devices makes use of electromigration. Although it is a statistical process, we show that control over the gap resistance can be obtained. A detailed analysis of the current-voltage characteristics of gaps without molecules, however, shows that they reveal features that can mistakenly be attributed to molecular transport. This observation raises questions about which gaps with molecules can be disregarded and which not. We show that electrical characteristics can be controlled by the rational design of the molecular bridge and that vibrational modes probed by electrical transport are of potential interest as molecular fingerprints.

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Section: Molecular Junctions With Opv-3mentioning

confidence: 99%

Molecular three-terminal devices: fabrication and measurements

et al. 2006

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“…The third electrode can bring molecular levels into and out of resonance with the Fermi energy of the electrodes probing excited states and allowing different charge states to be accessed. Excited states can either be vibrational [10][11][12], electronic [13] or related to spin transitions [14,15]. These excitations serve as a fingerprint of the molecule under study.…”

Section: Introductionmentioning

confidence: 99%

Single-molecule transport in three-terminal devices

Osorio

Bjørnholm

Lehn

et al. 2008

J. Phys.: Condens. Matter

103

114

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Transport through single molecules has been studied using different test beds. In this paper we focus on three-terminal devices in which a molecule bridges the gap between two gold electrodes and a third electrode-the gate-is able to modulate the conduction properties of the junction. Depending on the electronic coupling, , between the molecule and the gold electrodes, different transport regimes can be distinguished. We show measurements on junctions incorporating different single-molecule systems which demonstrate the distinction between these regimes, as well as the experimental limitations in controlling the exact value of .

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“…Quantum dot devices are usually made of a nanostructure or a molecule coupled to leads [1,2,3]. A vast amount of experiments have been performed using quantum dots, where with bias spectroscopy [4] or thermoelectric measurements [5], it is possible to obtain the energy level structure of the quantum dot, which is important for understanding and predicting the device behavior.…”

Section: Introductionmentioning

confidence: 99%

QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices

Wacker

Pedersen

Karlström

et al. 2017

Computer Physics Communications

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QmeQ is an open-source Python package for numerical modeling of transport through quantum dot devices with strong electron-electron interactions using various approximate master equation approaches. The package provides a framework for calculating stationary particle or energy currents driven by differences in chemical potentials or temperatures between the leads which are tunnel coupled to the quantum dots. The electronic structures of the quantum dots are described by their single-particle states and the Coulomb matrix elements between the states. When transport is treated perturbatively to lowest order in the tunneling couplings, the possible approaches are Pauli (classical), firstorder Redfield, and first-order von Neumann master equations, and a particular form of the Lindblad equation. When all processes involving two-particle excitations in the leads are of interest, the second-order von Neumann approach can be applied. All these approaches are implemented in QmeQ. We here give an overview of the basic structure of the package, give examples of transport calculations, and outline the range of applicability of the different approximate approaches. Keywords: Open quantum systems, Quantum dots, Anderson-type model, Coulomb blockade, Python Program summaryProgram Title: QmeQ Licensing provisions: BSD 2-Clause Programming language: Python External libraries: NumPy, SciPy, Cython Nature of problem: Calculation of stationary state currents through quantum dots tunnel coupled to leads. Solution method: Exact diagonalisation of the quantum dot Hamiltonian for a given set of single particle states and Coulomb matrix elements. Numerical solution of the stationary-state master equation for a given approximate approach. Restrictions: Depending on the approximate approach the temperature needs to be sufficiently large compared to the coupling strength for the approach to be valid.

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Inelastic Electron Tunneling via Molecular Vibrations in Single-Molecule Transistors

Cited by 316 publications

References 27 publications

Molecular three-terminal devices: fabrication and measurements

Molecular three-terminal devices: fabrication and measurements

Single-molecule transport in three-terminal devices

QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices

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