Metrology triangle using a Watt balance, a calculable capacitor and a single-electron tunnelling device

Keller, Mark W.; Piquemal, F.; Feltin, Nicolas; Steck, B.; Devoille, Laurent

doi:10.1088/0026-1394/45/3/010

Cited by 15 publications

(20 citation statements)

References 18 publications

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“…The QMT experiment and its impact has been discussed, e.g., by Piquemal and Geneves (2000), Zimmerman and Keller (2003), Piquemal (2004), Gallop (2005), Keller (2008), Keller et al (2008), Feltin and Piquemal (2009), and . In this review, we use the terms QMT setup, experiment, or measurement for any experimental setups that pursue a metrological comparison between JVS, QHR, and a quantum current source.…”

Section: Quantum Metrology Trianglementioning

confidence: 99%

“…One should note that JVS and QHR are used here only as transfer standards. Keller et al (2008) derived a result based on the NIST ECCS: Q S ¼ 1:602 176 3 Â 10 À19 AE 1:5 Â 10 À25 C. This could be compared to the CODATA value for e, which, however, depends strongly on h and the exactness of K J and R K . Instead, it is better to compare Q S to another value of e that is independent of JVS and QHR: e ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 3 A r ðeÞM u = 0 R 1 N A p (Feltin and Piquemal, 2009).…”

Section: Metrological Implications Of Single-electron Transport and Qmtmentioning

confidence: 99%

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Single-electron current sources: Toward a refined definition of the ampere

et al. 2013

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The control of electrons at the level of the elementary charge e was demonstrated experimentally already in the 1980s. Ever since, the production of an electrical current ef, or its integer multiple, at a drive frequency f has been a focus of research for metrological purposes. This review discusses the generic physical phenomena and technical constraints that influence single-electron charge transport and presents a broad variety of proposed realizations. Some of them have already proven experimentally to nearly fulfill the demanding needs, in terms of transfer errors and transfer rate, of quantum metrology of electrical quantities, whereas some others are currently ''just'' wild ideas, still often potentially competitive if technical constraints can be lifted. The important issues of readout of singleelectron events and potential error correction schemes based on them are also discussed. Finally, an account is given of the status of single-electron current sources in the bigger framework of electric quantum standards and of the future international SI system of units, and applications and uses of single-electron devices outside the metrological context are briefly discussed.

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Section: Quantum Metrology Trianglementioning

confidence: 99%

Section: Metrological Implications Of Single-electron Transport and Qmtmentioning

confidence: 99%

Single-electron current sources: Toward a refined definition of the ampere

et al. 2013

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“…The continuity equation (14) together with (17), which is derived from it, provides a powerful method for calculating the uncertainty of the fundamental constants involved in any valid redefined unit system with respect to their uncertainties in SI units. In the case of a definition of the kilogram based on a fixed value of h (ie u(h´)=0), we can show that u(Λ)=u(h) and u(∆)=u(e 2 /h), whilst the uncertainty in the two electrical quantum constants (R K and K J ) is zero.…”

Section: Continuity Equations and Uncertaintiesmentioning

confidence: 99%

The quantum metrology triangle and the redefinition of the SI ampere and kilogram; analysis of a reduced set of observational equations

2010

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We have developed a set of seven observational equations that include all of the physics necessary to relate the most important of the fundamental constants to the definitions of the SI kilogram and ampere. We have used these to determine the influence of alternative definitions being considered for the SI kilogram and ampere on the uncertainty of three of the fundamental constants (h, e and m u ). We have also reviewed the experimental evidence for the exactness of the quantum metrology triangle resulting from experiments combining the quantum Hall effect, the Josephson effects and single-electron tunnelling.

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“…Therefore, it must also be verified with standard inductors. Three standard inductors of value 1, 10, and 10 μH were calibrated using a Maxwell-Wien bridge [5] at the frequencies 1, 2, 10, 20, and 100 kHz for 1 and 10 μH and 100 Hz, 400 Hz, and 1 kHz for 50 μH. The measurement results performed with the auto-balancing bridge were compared with the values obtained by calibrating standards with the Maxwell-Wien bridge.…”

Section: Measurement Of the Equivalent Circuit Parametersmentioning

confidence: 99%

Calculated Frequency Behavior of the PTB Calculable Capacitor in Audio Frequency Range

Homklintian¹,

Funck

Melcher

et al. 2015

IEEE Trans. Instrum. Meas.

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A determination of the frequency behavior of the Physikalisch-Technische Bundesanstalt (PTB) calculable capacitor in the audio frequency range is carried out by applying an equivalent circuit model. The circuit model considers the influence of distributed admittances and impedances within the calculable capacitor and has been derived from the main currents flowing inside the calculable capacitor and the voltage drops caused by these currents. It has been found that the frequency dependence of the cross capacitance is proportional to the square of the frequency, whereby mutual inductances of opposite electrodes and capacitances to ground dominate the behavior at higher frequencies. At a frequency of 1592 Hz, the correction of the PTB calculable capacitor with a value of 1 pF amounts to 9.2 × 10 −8 pF with an expanded uncertainty (k = 2) of 3.1 × 10 −8 pF.

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Metrology triangle using a Watt balance, a calculable capacitor and a single-electron tunnelling device

Cited by 15 publications

References 18 publications

Single-electron current sources: Toward a refined definition of the ampere

Single-electron current sources: Toward a refined definition of the ampere

The quantum metrology triangle and the redefinition of the SI ampere and kilogram; analysis of a reduced set of observational equations

Calculated Frequency Behavior of the PTB Calculable Capacitor in Audio Frequency Range

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