Temperature and frequency scaling of the quantum Hall effect

Meisels, R.; Kuchar, F.; Dybko, K.

doi:10.1002/(sici)1521-3889(199911)8:7/9<609::aid-andp609>3.0.co;2-n

Cited by 4 publications

(3 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been shown elsewhere that the quantum Hall effect in GaAs still exists at frequencies around 35 GHz [5]. The longitudinal conductivity in the gigahertz frequency range shows broadened peaks but still drops to small values between the peaks [6][7][8]. The low-frequency range has also been investigated.…”

Section: Introductionmentioning

confidence: 97%

AC behaviour and loss phenomena in quantum Hall samples

et al. 2002

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 97%

AC behaviour and loss phenomena in quantum Hall samples

et al. 2002

View full text Add to dashboard Cite

show abstract

“…Theoretical calculations yield a power-law frequency dependence but different powers of 1 and about 2, and without an absolute scale, have been predicted [29,30]. A scale can be estimated from several high-frequency Hall conductivity measurements which have been carried out at frequencies of a few MHz up to 40 GHz, for example [31][32][33]. The best estimate for the frequency dependence at the plateau centre comes from [32].…”

Section: Uncertainty Budget Of Residual Frequency Dependencementioning

confidence: 99%

The quantum Hall impedance standard

et al. 2011

View full text Add to dashboard Cite

Alternating current measurements of double-shielded quantum Hall devices have revealed a fascinating property of which only a quantum effect is capable: it can detect its own frequency dependence and convert it to a current dependence which can be used to eliminate both of them. According to an experimentally verified model, the residual frequency dependence is smaller than the measuring uncertainty of 1.3 × 10−9 kHz−1. In this way, a highly precise quantum standard of impedance can be established, without having to correct for any calculated frequency dependence and without the need for any artefact with a calculated frequency dependence. Nothing else like that is known to us and we hope that our results encourage other national metrology institutes to also apply it to impedance metrology and further explore its beautiful properties.

show abstract

“…Several high-frequency Hall conductivity measurements at frequencies of a few MHz up to 40 GHz (which is still well below the electron cyclotron frequency) have observed well-defined quantum Hall plateaux (e.g. [54,33,34]). The localized electrons in the 2DEG are expected to interact with the alternating electrical Hall field and to dissipate energy; this would affect the QHR value and give rise to an intrinsic frequency dependence.…”

Section: Intrinsic Frequency Dependence Of the Qhrmentioning

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.

View full text Add to dashboard Cite

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.

show abstract

Temperature and frequency scaling of the quantum Hall effect

Cited by 4 publications

References 6 publications

AC behaviour and loss phenomena in quantum Hall samples

AC behaviour and loss phenomena in quantum Hall samples

The quantum Hall impedance standard

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

Contact Info

Product

Resources

About