Inelastic scattering in resonant tunneling

Wingreen, Ned S.; Jacobsen, Karsten Wedel; Wilkins, John W.

doi:10.1103/physrevb.40.11834

Cited by 336 publications

(339 citation statements)

References 26 publications

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“…This example, while not exactly solvable, is helpful to show how interactions influence the current. Furthermore, we can directly compare to previous time-independent results [23] using (5) to demonstrate the power of the present formalism.…”

Section: The Central Region Hamiltonian H Cenmentioning

confidence: 75%

“…We also show that the linear ac-response results of Fu and Dudley [22] are contained as a special case of the exact results of this section. In Section VI we illustrate the utility of our formulation by presenting a much simplified derivation of Wingreen et al's [23] results on resonant tunneling in the presence of electron-phonon interactions. Appendix A summarizes some of the central technical properties of the Keldysh technique: we state the definitions, give the basic equations, and provide the analytic continuation rules employed below.…”

Section: Introductionmentioning

confidence: 99%

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Time-dependent transport in interacting and noninteracting resonant-tunneling systems

Wingreen²,

1994

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We consider a mesoscopic region coupled to two leads under the influence of external time-dependent voltages. The time dependence is coupled to source and drain contacts, the gates controlling the tunnel-barrier heights, or to the gates which define the mesoscopic region. We derive, with the Keldysh nonequilibrium Green function technique, a formal expression for the fully nonlinear, time-dependent current through the system. The analysis admits arbitrary interactions in the mesoscopic region, but the leads are treated as noninteracting. For proportionate coupling to the leads, the time-averaged current is simply the integral between the chemical potentials of the timeaveraged density of states, weighted by the coupling to the leads, in close analogy to the time-independent result of Meir and Wingreen (Phys. Rev.1 Lett. 68, 2512Lett. 68, (1992). Analytical and numerical results for the exactly solvable non-interacting resonant-tunneling system are presented. Due to the coherence between the leads and the resonant site, the current does not follow the driving signal adiabatically: a "ringing" current is found as a response to a voltage pulse, and a complex time-dependence results in the case of harmonic driving voltages. We also establish a connection to recent linear-response calculations, and to earlier studies of electron-phonon scattering effects in resonant tunneling.

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Section: The Central Region Hamiltonian H Cenmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Time-dependent transport in interacting and noninteracting resonant-tunneling systems

Wingreen²,

1994

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“…The energy spacing between the main peak and the first replica corresponds to the energy of that particular molecular vibration. The amplitude of the first replica is directly related to the strength of the e-v coupling 28,29 .…”

Section: Resultsmentioning

confidence: 99%

“…2a). The model uses the energies of the modes :o q and the dimensionless coupling constants l q as the fitting parameters and the fitted response includes overtones and combination modes as predicted by the theory in Wingreen et al 28 (see Supplementary Note 2 for details). The results of the fitting procedure with three and four vibrational modes can be found in Supplementary Fig.…”

Section: Resultsmentioning

confidence: 99%

Suppression of electron–vibron coupling in graphene nanoribbons contacted via a single atom

et al. 2013

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Graphene nanostructures, where quantum confinement opens an energy gap in the band structure, hold promise for future electronic devices. To realize the full potential of these materials, atomic-scale control over the contacts to graphene and the graphene nanostructure forming the active part of the device is required. The contacts should have a high transmission and yet not modify the electronic properties of the active region significantly to maintain the potentially exciting physics offered by the nanoscale honeycomb lattice. Here we show how contacting an atomically well-defined graphene nanoribbon to a metallic lead by a chemical bond via only one atom significantly influences the charge transport through the graphene nanoribbon but does not affect its electronic structure. Specifically, we find that creating well-defined contacts can suppress inelastic transport channels.

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“…Having found the Green functions, one can calculate the current flowing through the junction using the general formula [19,20],…”

Section: Model and Methodsmentioning

confidence: 99%

Phonon-assisted Andreev reflection in a hybrid junction based on a quantum dot

Bocian

Rudziński

2015

Eur. Phys. J. B

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Abstract. Spin-dependent tunneling through a quantum dot coupled to one ferromagnetic and one superconducting electrodes is investigated in the Andreev reflection (AR) regime occurring in the presence of the on-dot electron-phonon interactions. Current-voltage characteristics of the system are evaluated within the nonequilibrium Green function technique. Features of the AR current due to interplay between the electron-phonon interactions, intradot Coulomb correlations and the polarization of the ferromagnetic electrode are analyzed in both linear and nonlinear transport regimes. It is shown that for the case of electron-hole symmetry, the phonon resonances may appear on both sides of the main elastic resonances in spectral function. A phonon-induced renormalization of the Andreev transmission levels is found and splitting of the phonon side bands for nonvanishing intradot Coulomb repulsion is observed. It is shown that linear conductance exhibits the polaron shift and suppression in the presence of the polaron transmission. In nonequilibrium situation the mechanism of the negative differential conductance (NDC) in the presence of competing magnetic electrode polarisation and the Coulomb correlations on the dot is analyzed. An influence of the polaron transmission through the Andreev intradot states on the NDC oscillations is also discussed.

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Inelastic scattering in resonant tunneling

Cited by 336 publications

References 26 publications

Time-dependent transport in interacting and noninteracting resonant-tunneling systems

Time-dependent transport in interacting and noninteracting resonant-tunneling systems

Suppression of electron–vibron coupling in graphene nanoribbons contacted via a single atom

Phonon-assisted Andreev reflection in a hybrid junction based on a quantum dot

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