Counting Statistics of Single Electron Transport in a Quantum Dot

Gustavsson, Simon; Leturcq, R.; Simovič, B.; Schleser, R.; Ihn, Thomas; Studerus, P.; Ensslin, Klaus; Driscoll, D. C.; Gossard, A. C.

doi:10.1103/physrevlett.96.076605

Cited by 517 publications

(640 citation statements)

References 31 publications

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“…Here C g = C geo C Q /(C geo + C Q ) is the series combination of the quantum and geometrical capacitances, C Q and C geo . Ultrathin oxide coating in CNTFETs allows to approach the quantum limit with a capacitance per unit gate length l g , C geo /l g > C Q /l g = * Electronic address: Bernard.Placais@lpa.ens.fr transistors [15,16] or quantum point contact detectors [17] which operate on microsecond timescales. High sensitivity of NT-FET has been demonstrated recently by monitoring tunneling events between the nanotube and a nearby gold particle [18] at the dc limit.…”

Section: Pacs Numbersmentioning

confidence: 99%

Single Carbon Nanotube Transistor at GHz Frequency

et al. 2008

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We report on microwave operation of top-gated single carbon nanotube transistors. From transmission measurements in the 0.1-1.6 GHz range we deduce device transconductance gm and gatenanotube capacitance Cg of micro-and nanometric devices. A large and frequency-independent gm ∼ 20 µS is observed on short devices which meets best dc results. The capacitance per unit gate length ∼ 60 aF/µm is typical of top gates on conventional oxide with ǫ ∼ 10. This value is a factor 3-5 below the nanotube quantum capacitance which, according to recent simulations, favors high transit frequencies fT = gm/2πCg. For our smallest devices, we find a large fT ∼ 50 GHz with no evidence of saturation in length dependence. PACS numbers:Carbon nanotube field effect transistors (CNT-FETs) are very attractive as ultimate, quantum limited devices. In particular, ballistic transistors have been predicted to operate in the the sub-THz range [1,2]. Experimentally, a state-of-the-art cut-off frequency of 30 GHz has been reached in a low impedance multi-nanotube device [3], whereas 8 GHz was achieved with a multigate single nanotube transistor [4]. Indirect evidence of microwave operation were also obtained in experiments based on mixing effects or channel conductance measurement in single nanotubes [5,6,7,8,9].The extraordinary performances of nanotubes as molecular field effect transistors rely on a series of unique properties. High-mobility "p-doped" single walled nanotubes can be obtained by CVD-growth, with a semiconducting gap ∆ ∼ 0.5-1 eV (diameter 1-2 nm) [10]. Low Schottky-barrier contacts, with Pd metallisation, and quasi-ballistic transport result in a channel resistance R ds approaching the quantum limit, h/4e 2 = 6.5 kΩ for a 4-mode single walled nanotube [11]. High saturation currents, limited by optical phonon emission, allow large biases, I ds ∼ 20 µA at V ds 1 V in short nanotubes [12,13]. The above numbers and the good gate coupling explain the large transconductances, g m ∼ I ds /∆ 10 µS, observed in dc experiments [1]. In the ac, an intrinsic limitation is given by the transit frequency f T = g m /2πC g , where C g is the gate-nanotube capacitance. Here C g = C geo C Q /(C geo + C Q ) is the series combination of the quantum and geometrical capacitances, C Q and C geo . Ultrathin oxide coating in CNTFETs allows to approach the quantum limit with a capacitance per unit gate length l g , C geo /l g > C Q /l g = * Electronic address: Bernard.Placais@lpa.ens.fr

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Section: Pacs Numbersmentioning

confidence: 99%

Single Carbon Nanotube Transistor at GHz Frequency

et al. 2008

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“…Fast and sensitive charge detectors and highly stable current bias sources have made it possible to measure individual electrons crossing arrays of tunnel junctions 1 or quantum dots [2][3][4] ͑QDs͒. Directional forward and reverse counting through two quantum dots in a series has been reported.…”

Section: Introductionmentioning

confidence: 99%

“…The transitions between states can be measured by employing a quantum point contact. [2][3][4] As a reference point for the DQD junction, we also calculate the corresponding values for a QD with a single orbital where interferences are not possible.…”

Section: Introductionmentioning

confidence: 99%

Interference effects in the counting statistics of electron transfers through a double quantum dot

et al. 2008

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We investigate effects of quantum interferences and Coulomb interaction on the counting statistics of electrons crossing a double quantum dot in a parallel geometry by using a generating function technique based on a quantum master equation approach. The skewness and the average residence time of electrons in the dots are shown to be the quantities most sensitive to interferences and Coulomb coupling. The joint probabilities of consecutive electron transfer processes show characteristic temporal oscillations due to interference. The steady-state fluctuation theorem that predicts a universal relation between the number of forward and backward transfer events is shown to hold even in the presence of the Coulomb coupling and interference.

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“…The time-scales involved can therefore be relatively slow: in the FCS experiments of Ref. [6], for example, the QD was very weakly coupled to the reservoirs so that the typical time between tunnel events was of the order of a millisecond. Given this sort of timescale, it should be possible to build a control circuit fast enough to enact the required operations with a speed approximating the instantaneous ideal.…”

Section: Resultsmentioning

confidence: 99%

“…Our aim is to control some aspect of this process, be it the statistical properties of the current flow or the electronic states inside the device, through the establishment on a feedback loop based on the real-time detection of the electronic jumps using e.g. a quantum point contact (QPC) [6,7]. The information gained from this electron counting is processed and used to e.g.…”

Section: Measurement-based Controlmentioning

confidence: 99%

Feedback Control in Quantum Transport

Emary

2016

Understanding Complex Systems

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Abstract. Quantum transport is the study of the motion of electrons through nano-scale structures small enough that quantum effects are important. In this contribution I review recent theoretical proposals to use the techniques of quantum feedback control to manipulate the properties of electron flows and states in quantum-transport devices. Quantum control strategies can be grouped into two broad classes: measurement-based control and coherent control, and both are covered here. I discuss how measurement-based techniques are capable of producing a range of effects, such as noise suppression, stabilisation of nonequillibrium quantum states and the realisation of a nano-electronic Maxwell's demon. I also describe recent results on coherent transport control and its relation to quantum networks. IntroductionFeedback control of quantum mechanical systems is a rapidly emerging topic [1,2], developed most fully in the field of quantum optics [3]. Only recently have these ideas been extended to quantum transport, a field which looks to understand and control the motion of electrons through structures on the nano-scale [4]. The aim of this contribution is to review these recent developments.Broadly speaking, quantum feedback strategies may usefully be classified into two types:• Measurement-based control, where the quantum system is subject to measurements, the classical information from which forms the basis of the feedback loop; • Coherent control, where the system, the controller and their interconnections are phase coherent such that the information flow in the feedback loop is of quantum information [5].Mirroring the situation in optics, most of the work to-date on feedback in quantum transport has been within the measurement-based paradigm. In Sec. 1.2 here, we discuss a number of different measurement-based schemes

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Counting Statistics of Single Electron Transport in a Quantum Dot

Cited by 517 publications

References 31 publications

Single Carbon Nanotube Transistor at GHz Frequency

Single Carbon Nanotube Transistor at GHz Frequency

Interference effects in the counting statistics of electron transfers through a double quantum dot

Feedback Control in Quantum Transport

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