Evaluation of the AC quantized Hall resistance

Wood, Helen M.; Inglis, A.D.; Cote, M.

doi:10.1109/19.571829

Cited by 27 publications

(16 citation statements)

References 5 publications

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“…Several NMIs have tested whether or not the frequencydependent QHR extrapolated to the frequency of 0 Hz differs from the quantized dc value. Different relative deviations in the range from 6 × 10 −8 to 2 × 10 −7 have been reported [15,96]. However, now we believe that no true deviation from the quantized dc value exists, at least within a relative uncertainty of 1 × 10 −8 .…”

Section: Better Understanding Of the Qhr Measured With Acsupporting

confidence: 48%

“…As published in 1997, Wood et al at NRC verified these findings and also measured a frequency dependence of about 1 × 10 −7 kHz −1 but reported a much better plateau flatness [96]. Also the dependence on the magnitude of the measuring current was remarkably small [97], much smaller than later results of other NMIs obtained with different QHR devices.…”

Section: First Ac Qhr Measurementsmentioning

confidence: 52%

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The ac quantum Hall resistance as an electrical impedance standard and its role in the SI

Schurr

Ahlers

Kibble

2012

Meas. Sci. Technol.

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Since 1990, the quantum Hall resistance measured with direct current (dc) has been established to represent and maintain the dc resistance unit and thereby has replaced the former derivation from calculated inductance and capacitance standards. Because of this success, it has been suggested to measure this quantum effect with alternating current (ac) and in this way to derive the units of resistance, capacitance and inductance consistently from the same quantum effect. In this paper, we recall the relations between these units, their role in the determination of the von Klitzing constant and the relations between the fundamental constants involved in the conventional and the quantum approach. Then, we review the first ac measurements of the quantum Hall resistance and show how the difficulties uncovered have been solved by relatively simple means. As a result, the measurement of the ac quantum Hall resistance has become as precise and reliable as its dc counterpart and much more accurate than any conventional impedance artefact.

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Section: Better Understanding Of the Qhr Measured With Acsupporting

confidence: 48%

Section: First Ac Qhr Measurementsmentioning

confidence: 52%

The ac quantum Hall resistance as an electrical impedance standard and its role in the SI

Schurr

Ahlers

Kibble

2012

Meas. Sci. Technol.

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“…In the earlier decades of developing QHR standards, the many NMI efforts had succeeded in implementing new standards based on GaAs devices [34][35][36][37][38][39][40][41][42][43], and metrologists commenced to explore the extent to which these devices could accommodate other values of resistance, namely through the construction of quantum Hall array resistance standards (QHARS) [44][45][46][47][48][49][50][51][52]. In conjunction, pursuits of standardized impedances from the QHE were well on their way at various NMIs to avoid using a difficult-to-construct calculable capacitor [53][54][55][56][57][58][59][60][61][62].…”

Section: The Evolving Role Of the Quantum Hall Effect In Determining mentioning

confidence: 99%

The quantum Hall effect in the era of the new SI

Rigosi

Elmquist

2019

Semicond. Sci. Technol.

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The quantum Hall effect (QHE), and devices reliant on it, will continue to serve as the foundation of the ohm while also expanding its territory into other SI derived units. The foundation, evolution, and significance of all of these devices exhibiting some form of the QHE will be described in the context of optimizing future electrical resistance standards. As the world adapts to using the quantum SI, it remains essential that the global metrology community pushes forth and continues to innovate and produce new technologies for disseminating the ohm and other electrical units.

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“…The motivation is to use this quantum effect to realize also the capacitance unit [5] and through it the inductance unit. The first ac QHR measurements revealed unexpected difficulties (see, for example, [6][7][8][9]). The plateaux measured with ac were not as flat as the plateaux measured with dc but were somehow curved or structured, and these structures increased linearly with frequency and current.…”

Section: Introductionmentioning

confidence: 99%

Realizing the farad from two ac quantum Hall resistances

Schurr¹,

Burkel²,

Kibble³

2009

Metrologia

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Since the quantum Hall resistance (QHR) measured with alternating current (ac) has reached the state of an excellent quantum standard of impedance, we have realized a quadrature bridge with two ac QHRs to accurately calibrate capacitance standards in terms of the SI value of the von-Klitzing constant, without the need for any calculable artefact. The advantages of the realized measuring chain, experimental tests of the coaxial ac bridges involved and the achieved relative uncertainty of 6 × 10 −9 (k = 1) are discussed.

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Evaluation of the AC quantized Hall resistance

Cited by 27 publications

References 5 publications

The ac quantum Hall resistance as an electrical impedance standard and its role in the SI

The ac quantum Hall resistance as an electrical impedance standard and its role in the SI

The quantum Hall effect in the era of the new SI

Realizing the farad from two ac quantum Hall resistances

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