Full counting statistics of a single-molecule quantum dot

Dong, Bing; Ding, Guo-Hui; Lei, X. L.

doi:10.1103/physrevb.88.075414

Cited by 32 publications

(56 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(33) and (53), respectively, are the main analytical results of this paper 72 . It should be emphasized that only few impurity models, essentially, variants of the single dot Anderson model 18,27,[78][79][80][81] , can be solved analytically, within certain approximations, to provide the CGF and expose charge and energy statistics under interactions. Our work here substantially extends these efforts, by solving the FCS of a vibrationally assisted two-site electronic conduction.…”

Section: A Da-ah Model: Quantum Master Equation Approachmentioning

confidence: 99%

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency

2015

View full text Add to dashboard Cite

We study the statistical properties of charge and energy transport in electron conducting junctions with electron-phonon interactions, specifically, the thermoelectric efficiency and its fluctuations. The system comprises donor and acceptor electronic states, representing a two-site molecule or a double quantum dot system. Electron transfer between metals through the two molecular sites is coupled to a particular vibrational mode which is taken to be either harmonic or anharmonic-a truncated (twostate) spectrum. Considering these models we derive the cumulant generating function in steady state for charge and energy transfer, correct to second-order in the electron-phonon interaction, but exact to all orders in the metal-molecule coupling strength. This is achieved by using the nonequilibrium Green's function approach (harmonic mode) and a kinetic quantum master equation method (anharmonic mode). From the cumulant generating function we calculate the charge current and its noise and the large deviation function for the thermoelectric efficiency. We demonstrate that at large bias the charge current, differential conductance, and the current noise can identify energetic and structural properties of the junction. We further examine the operation of the junction as a thermoelectric engine and show that while the macroscopic thermoelectric efficiency is indifferent to the nature of the mode (harmonic or anharmonic), efficiency fluctuations do reflect this property.

show abstract

Section: A Da-ah Model: Quantum Master Equation Approachmentioning

confidence: 99%

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency

2015

View full text Add to dashboard Cite

show abstract

“…While the stationary transport properties of the AndersonHolstein model have been extensively analyzed [21][22][23][24][25][26], their analysis in the time domain has been much less analyzed [27]. Recent calculations, based on numerically exact methods such as diagrammatic quantum Monte Carlo (diagMC) [28], have indicated that for strong electron-phonon coupling there exists a regime in which different initial conditions lead to different transport properties at short times.…”

Section: Introductionmentioning

confidence: 99%

Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime

et al. 2015

View full text Add to dashboard Cite

We develop a theoretical approach to study the transient dynamics and the time-dependent statistics for the Anderson-Holstein model in the regime of strong electron-phonon coupling. For this purpose we adapt a recently introduced diagrammatic approach to the time domain. The generating function for the time-dependent charge transfer probabilities is evaluated numerically by discretizing the Keldysh contour. The method allows us to analyze the system evolution to the steady state after a sudden connection of the dot to the leads, starting from different initial conditions. Simple analytical results are obtained in the regime of very short times. We study in particular the apparent bistable behavior occurring for strong electron-phonon coupling, small bias voltages, and a detuned dot level. The results obtained are in remarkably good agreement with numerically exact results obtained by quantum Monte Carlo methods. We analyze the waiting time distribution and charge transfer probabilities, showing that only a single electron transfer is responsible for the rich structure found in the short-time regime. A universal scaling (independent of the model parameters) is found for the relative amplitude of the higher order current cumulants in the short-time regime, starting from an initially empty dot. We finally analyze the convergence to the steady state of the differential conductance and of the differential Fano factor at the inelastic threshold, which exhibits a peculiar oscillatory behavior.

show abstract

“…[35]. We also point out that in all the preceding approximations the basic assumption of having a equilibrium phonon distribution was made for the evaluation of the polaron correlators.…”

Section: Dressed Tunneling Approximationmentioning

confidence: 99%

“…[30]. In the opposite regime, the so-called polaronic regime, perturbation theory breaks down and other type of approaches are necessary [31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Dressed tunneling approximation for electronic transport through molecular transistors

et al. 2014

View full text Add to dashboard Cite

A theoretical approach for the nonequilibrium transport properties of nanoscale systems coupled to metallic electrodes with strong electron-phonon interactions is presented. It consists of a resummation of the dominant Feynman diagrams from the perturbative expansion in the coupling to the leads. We show that this scheme eliminates the main pathologies found in previous simple analytical approaches for the polaronic regime. The results for the spectral and transport properties are compared with those from several other approaches for a wide range of parameters. The method can be formulated in a simple way to obtain the full counting statistics. Results for the shot and thermal noise are presented.

show abstract

Full counting statistics of a single-molecule quantum dot

Cited by 32 publications

References 70 publications

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency

Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime

Dressed tunneling approximation for electronic transport through molecular transistors

Contact Info

Product

Resources

About