The influence of adsorbate vibration on resonant tunnelling in the STM

Spataru, Catalin D.; Budau, P.

doi:10.1088/0953-8984/9/40/002

Cited by 5 publications

(7 citation statements)

References 9 publications

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“…The outcome is that Refs. neglect many‐body effects that explain the decrease of conductance in certain systems as Persson and Baratoff predicted in the case of IETS‐STM . In the case of metal‐insulator‐metal junctions the decrease in conductance had been predicted two decades earlier by Davis .…”

Section: Spectroscopy With the Stmmentioning

confidence: 80%

“…They show that fundamental aspects of the transport problem can be taken into account, only if the propagation of the electron is treated on the same level as the vibration excitation. Similar approaches are those by Gata and Antoniewicz and Spataru and Budau . All of these approaches start by writing a Newns–Anderson type Hamiltonian:

H = ϵ_{a} c^{+} c + \sum_{k_{L, R}} ϵ_{k_{normalL, normalR}} c^{+} c_{k_{L, R}} + \sum_{k_{L, R}} [V_{a k_{normalL, normalR}} c^{+} c_{k_{L, R}} + H .c .] + ℏ Ω (b^{+} b + \frac{1}{2}) + \sum_{μ, ν} V_{μ, ν} c_{μ}^{+} c_{ν} (b^{+} + b) .

…”

Section: Spectroscopy With the Stmmentioning

confidence: 99%

“…The above approaches estimate the excitation rate by using either second‐order perturbation theory or a re‐summation to all orders in perturbation theory . In order to be able to sum the infinite series of perturbation theory, Refs.…”

Section: Spectroscopy With the Stmmentioning

confidence: 99%

“…In order to be able to sum the infinite series of perturbation theory, Refs. use an orthogonal basis‐set of the model Hamiltonian (the creation and destruction operators need to be canonical in order to use Green's function perturbation theory). This approximation leads to the neglect of the mixing of electronic states in the electrode due to the molecular vibration.…”

Section: Spectroscopy With the Stmmentioning

confidence: 99%

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Controlled manipulation of single atoms and small molecules using the scanning tunnelling microscope

Morgenstern

Lorente

Rieder

2013

Phys. Status Solidi B

108

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This article reviews manipulation of single molecules by scanning tunnelling microscopes, in particular vertical manipulation, lateral manipulation, and inelastic electron tunnelling (IET) manipulation. For a better understanding of these processes, we shortly review imaging by scanning tunnelling microscopy – as a prerequisite to detect the manipulated species and to verify the result of the manipulation – as well as scanning tunnelling spectroscopy and IET spectroscopy which are used to chemically identify the molecules before and after the manipulation that employs the tunnelling current.

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Section: Spectroscopy With the Stmmentioning

confidence: 80%

H = ϵ_{a} c^{+} c + \sum_{k_{L, R}} ϵ_{k_{normalL, normalR}} c^{+} c_{k_{L, R}} + \sum_{k_{L, R}} [V_{a k_{normalL, normalR}} c^{+} c_{k_{L, R}} + H .c .] + ℏ Ω (b^{+} b + \frac{1}{2}) + \sum_{μ, ν} V_{μ, ν} c_{μ}^{+} c_{ν} (b^{+} + b) .

…”

Section: Spectroscopy With the Stmmentioning

confidence: 99%

Section: Spectroscopy With the Stmmentioning

confidence: 99%

Section: Spectroscopy With the Stmmentioning

confidence: 99%

See 2 more Smart Citations

Controlled manipulation of single atoms and small molecules using the scanning tunnelling microscope

Morgenstern

Lorente

Rieder

2013

Phys. Status Solidi B

108

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“…38,39 The effect of vibrationally inelastic processes on electron transport has also been investigated for a variety of closely related problems including the tunneling of electrons through long polymer chains (molecular wires), 40,41 electron transport through quantum dots and heterostructures, [42][43][44][45][46] as well as the theoretical description of single-molecule vibrational spectroscopy in scanning tunneling microscopy (STM) experiments. [47][48][49][50][51][52][53][54] The formally related process of electron transport in the presence of a laser field has also been studied. 55,56 Another closely related process is vibrationally inelastic electron-molecule scattering.…”

Section: Introductionmentioning

confidence: 99%

Theory of vibrationally inelastic electron transport through molecular bridges

2004

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Vibrationally inelastic electron transport through a molecular bridge that is connected to two leads is investigated. The study is based on a generic model of vibrational excitation in resonant transmission of electrons through a molecular junction. Employing methods from electron-molecule scattering theory, the transmittance through the molecular bridge can be evaluated numerically exactly. The current through the junction is obtained approximately using a Landauer-type formula. Considering different parameter regimes, which include both the case of a molecular bridge that is weakly coupled to the leads, resulting in narrow resonance structures, and the opposite case of a broad resonance caused by strong interaction with the leads, we investigate the characteristic effects of coherent and dissipative vibrational motion on the electron transport. Furthermore, the validity of widely used approximations such as the wideband approximation and the restriction to elastic transport mechanisms is investigated in some detail.

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