Measurements of the ac longitudinal resistance of a GaAs-AlGaAs quantum Hall device

Cabiati, F.; Callegaro, Luca; Cassiago, Cristina; D'Elia, Vincenzo; Reedtz, G.M.

doi:10.1109/19.769591

Cited by 16 publications

(13 citation statements)

References 9 publications

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“…This raised the hope of using the quantum Hall effect as a standard of ac resistance in order to represent the unit of capacitance, the farad. Not only the technology of measurement differs for ac and dc applications: the ac quantum Hall resistance deviates from the dc resistance, the ac plateaux are not as perfectly flat as the dc plateaux, and the longitudinal resistance is no longer zero [10,[12][13][14].…”

Section: Introductionmentioning

confidence: 99%

AC behaviour and loss phenomena in quantum Hall samples

et al. 2002

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The ac quantum Hall resistance of several GaAs-based samples has been investigated. The influence of temperature, current and frequency was measured for the plateau . Some measurements were performed for the plateau in order to determine the scaling behaviour with respect to . The plateau edge is shown to depend on the electronic temperature and the current at the plateau edge is distributed over the whole width of the sample. At the plateau centre, edge-current effects become apparent which depend on how close the filling factor is to an integer value. The losses of these edge currents cause the ac quantum Hall resistance to differ from the dc quantum Hall resistance.

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Section: Introductionmentioning

confidence: 99%

AC behaviour and loss phenomena in quantum Hall samples

et al. 2002

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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 longitudinal resistance has also been measured with ac. While for a good QHR device the dc R xx in the central plateau region is immeasurably small, the first ac R xx measurements revealed a non-zero ac R xx with a structured or curved shape of the same order of magnitude as for the ac quantum Hall resistance [19,68,10,78,65]. Therefore, ac R xx measurements have helped to understand the ac quantum Hall resistance.…”

Section: First Ac Qhr Measurementsmentioning

confidence: 99%

“…The first measurements at the low-potential side of a QHR device were carried out at the BIPM, LNE and INRIM [19,68,10]. Later, also METAS and PTB performed such measurements [78,65,64].…”

Section: C1 Ac R Xxlow Bridgementioning

confidence: 99%

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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Measurements of the ac longitudinal resistance of a GaAs-AlGaAs quantum Hall device

Cited by 16 publications

References 9 publications

AC behaviour and loss phenomena in quantum Hall samples

AC behaviour and loss phenomena in quantum Hall samples

The quantum Hall effect in the era of the new SI

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

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