Low-frequency current noise of the single-electron shuttle

Isacsson, Andreas; Nord, T.

doi:10.1209/epl/i2004-10024-x

Cited by 33 publications

(45 citation statements)

References 31 publications

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“…More specifically, Pistolesi [16] reports a vanishing Fano factor in the large amplitude limit of a driven shuttle. On the other hand, a study by Isacsson and Nord [17] of a classical system exhibiting shuttling instability found, somewhat surprisingly, a higher Fano factor in the shuttling regime than in the tunneling regime. This result is attributed to a different confining potential used in [17] compared to the other studies in this area.…”

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confidence: 92%

“…The measurement of the noise spectrum or even higher moments (full counting statistics) reveals more information about the transport through the device than just the mean current. The theoretical studies of the noise have attracted much attention recently in NEMS in general [13,14,15] as well as for the shuttling setup [16,17,18] in the (semi)classical limit. More specifically, Pistolesi [16] reports a vanishing Fano factor in the large amplitude limit of a driven shuttle.…”

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confidence: 99%

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Shot Noise of a Quantum Shuttle

et al. 2004

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We formulate a theory for shot noise in quantum nanoelectromechanical systems. As a specific example, the theory is applied to a quantum shuttle, and the zero-frequency noise, measured by the Fano factor F , is computed. F reaches very low values (F ≃ 10 −2 ) in the shuttling regime even in the quantum limit, confirming that shuttling is universally a low noise phenomenon. In approaching the semiclassical limit, the Fano factor shows a giant enhancement (F ≃ 102 ) at the shuttling threshold, consistent with predictions based on phase-space representations of the density matrix.

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Shot Noise of a Quantum Shuttle

et al. 2004

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“…These "shuttles" have been investigated in great detail. [5][6][7][8][9][10][11][12][13] Another possibility to couple the electrical and mechanical properties of the device is to design the SET such that its capacitive coupling to the gate depends on the displacement of a mechanical oscillator. Thus, mechanical degrees of freedom of the system may strongly influence the currentvoltage characteristics, current noise, and higher cumulants of the current.…”

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confidence: 99%

Electrical transport through a single-electron transistor strongly coupled to an oscillator

2006

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We investigate electrical transport through a single-electron transistor coupled to a nanomechanical oscillator. Using a combination of a master-equation approach and a numerical Monte Carlo method, we calculate the average current and the current noise in the strong-coupling regime, studying deviations from previously derived analytic results valid in the limit of weak coupling. After generalizing the weak-coupling theory to enable the calculation of higher cumulants of the current, we use our numerical approach to study how the third cumulant is affected in the strong-coupling regime. In this case, we find an interesting crossover between a weak-coupling transport regime where the third cumulant heavily depends on the frequency of the oscillator to one where it becomes practically independent of this parameter. Finally, we study the spectrum of the transport noise and show that the two peaks found in the weak-coupling limit merge on increasing the coupling strength. Our calculation of the frequency dependence of the noise also allows one to describe how transport-induced damping of the mechanical oscillations is affected in the strong-coupling regime.

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“…tunneling and shuttling. This part complements [7], which considered a fixed driving amplitude, and [13] describing a related phenomenon in a different model.…”

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Full counting statistics of nano-electromechanical systems

Flindt¹,

Novotný²,

Jauho³

2005

Europhys. Lett.

140

232

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Abstract. -We develop a theory for the full counting statistics (FCS) for a class of nanoelectromechanical systems (NEMS), describable by a Markovian generalized master equation. The theory is applied to two specific examples of current interest: vibrating C60 molecules and quantum shuttles. We report a numerical evaluation of the first three cumulants for the C60-setup; for the quantum shuttle we use the third cumulant to substantiate that the giant enhancement in noise observed at the shuttling transition is due to a slow switching between two competing conduction channels. Especially the last example illustrates the power of the FCS.Introduction. -The full counting statistics (FCS) of charge transport in mesoscopic systems is an active topic of recent research [1][2][3][4][5]. Calculation and measurement of the whole probability distribution of transmitted charge is motivated by the fact that FCS provides more information about a particular system than just the mean current or current noise which are the first two cumulants of the large-time asymptotics of the probability distribution. Very recently, a measurement of the third cumulant, which quantifies the skewness of the distribution, was reported [6]. The detailed nature of charge transport in nanoelectromechanical systems (NEMS), another modern field in mesoscopics, poses many challenges both to experiments and theory, and the computation of FCS for NEMS is an important task that needs to be addressed. The first steps were taken recently with a calculation of FCS for a driven, classical shuttle [7].In this Letter, we present a theory for the evaluation of cumulants in a wide class of NEMS encompassing the majority of systems considered thus far, namely those which can be described by a Markovian generalized master equation (GME). The current cumulants turn out to be fully determined by an extremal eigenvalue of the system evolution superoperator (Liouvillean) in analogy with previous studies [4,5]. Their evaluation is, however, more complicated since in NEMS there are generally many relevant states which need to be taken into account. We solve the problem by formulating a systematic perturbation theory, and using this derive explicit formulas for the first three cumulants. The method is illustrated by

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Low-frequency current noise of the single-electron shuttle

Cited by 33 publications

References 31 publications

Shot Noise of a Quantum Shuttle

Shot Noise of a Quantum Shuttle

Electrical transport through a single-electron transistor strongly coupled to an oscillator

Full counting statistics of nano-electromechanical systems

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