Comparison of precision AC and DC measurements with the quantized Hall resistance

Melcher, J.; Warnecke, P.; Hanke, R.

doi:10.1109/19.278568

Cited by 75 publications

(40 citation statements)

References 15 publications

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“…2) Previous Study: Melcher et al [16] used a divider bridge circuit to compare the i = 2 plateau resistance of the ac QHR with a 100 k resistor. The divider bridge circuit that combined an IVD with a ratio of 8:1 and an injection transformer with a ratio of 1:225 realizes a circuit that achieves a voltage ratio of 100:13.…”

Section: ) Ideal Voltage Ratio Of the Transformermentioning

confidence: 99%

“…The divider bridge circuit that combined an IVD with a ratio of 8:1 and an injection transformer with a ratio of 1:225 realizes a circuit that achieves a voltage ratio of 100:13. For a given power-supply voltage V , the voltage ratio of the circuit proposed by Melcher et al [16] is…”

Section: ) Ideal Voltage Ratio Of the Transformermentioning

confidence: 99%

“…In [16], the injection transformer with a 1:225 ratio was used for fine adjustment of the voltage ratio. Unfortunately, the 1:225 ratio injection transformer became the main source of uncertainty.…”

Section: B Design Of the Windings Of The Transformermentioning

confidence: 99%

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Development of 7.75 Ratio Voltage Divider Toward a Precise Measurement of Decade Resistance Based on the AC Quantized Hall Resistance

Domae

Sakamoto

Kiryu

et al. 2015

IEEE Trans. Instrum. Meas.

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At the National Metrology Institute of Japan, we are developing a transformer bridge circuit that can precisely compare the i = 2 plateau resistance in an ac quantized Hall resistance with a 100-k resistance. In this paper, we propose a practical transformer voltage ratio of 7.75:1, which is the most important parameter for developing a transformer bridge circuit. Further, we describe the design of an inductive voltage divider (IVD) to realize the 7.75:1 ratio. We intend to use the proposed IVD as a reference standard for calibrating the voltage ratio of the transformer. The reference IVD was fabricated with the two-stage technique and calibrated by Thompson's method. The deviation from the nominal ratio of 7.75 was estimated to be −5.92 × 10 −6 for in-phase and −22.75 × 10 −6 for quadrature. The standard uncertainty of this calibration was estimated to be 0.63 × 10 −6 for in-phase and 6.28 × 10 −6 for quadrature.Index Terms-AC quantized Hall resistance (QHR), ac resistance, bridge circuit, inductive voltage divider (IVD), voltage ratio.Atsushi Domae was born in Fukui, Japan, in 1978. He received the B.E. degree in electrical and electronic engineering from the Toyohashi University of Technology, Toyohashi, Japan, in 2000, and the Ph.D. degree in electrical engineering

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Section: ) Ideal Voltage Ratio Of the Transformermentioning

confidence: 99%

Section: ) Ideal Voltage Ratio Of the Transformermentioning

confidence: 99%

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Development of 7.75 Ratio Voltage Divider Toward a Precise Measurement of Decade Resistance Based on the AC Quantized Hall Resistance

Domae

Sakamoto

Kiryu

et al. 2015

IEEE Trans. Instrum. Meas.

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“…The quantum Hall effect (QHE) is widely used by national laboratories thanks to its great stability in dc [1,2]. The accuracy of measurements has allowed establishment of the international standard for the electrical resistance unit (Ohm).…”

Section: Introductionmentioning

confidence: 99%

AC-magnetotransport of a 2DEG in the quantum Hall regime

Herńandez¹,

Chaubet²

2014

AIP Conference Proceedings

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Magnetotransport in two-dimensional n -In Ga As ∕ Ga As double-quantum-well structures near the transition from the insulator to the quantum Hall effect regime Low Temp.Abstract. In this paper we present an ac-magneto-transport study of a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime, for frequencies in the range [100Hz, 1MHz]. We present a new approach to understand admittance measurements based in the Landauer-Buttiker formalism for QHE edge channels and taking into account the capacitance and the topology of the cables connected to the contacts used in the measurements. Our model predicts an universal behavior with the a-dimensional parameter RC where R is the 2 wires resistance of the 2DEG, C the capacitance cables and the angular frequency, in agreement with experiments.

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“…The pioneering work of Melcher [2] showed that the QHR measured at a frequency of 1592 Hz agrees with R K /2 (R K ≡ h/e 2 is the von Klitzing constant) with an relative standard uncertainty of 3 µΩ/Ω. This work has triggered a series of investigations at several National Metrology Institutes.…”

Section: Introductionmentioning

confidence: 99%

Effects of metallic gates on ac measurements of the quantum hall resistance

Overney

Jeanneret

Jeckelmann

2003

IEEE Trans. Instrum. Meas.

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Using a sample with a split back-gate, a linear frequency dependence of the ac quantum Hall resistance was observed. The frequency coefficient, which is due to dielectric losses produced by leakage current between the 2DEG and the back-gates, can be turned from a positive to a negative values by increasing the back-gate voltage. More interestingly, by removing theses back-gates, the losses can be considerably reduced leading to a residual frequency coefficient on the order of (0.03±0.03)·10−6 /kHz. Moreover, at 1 kHz, an extremely flat plateau was observed over a magnetic field range of 1.4 T. These results clearly indicate that the audio frequency dependence of the QHR is to a large extend related to the measurement apparatus and does not originate from the physical transport properties of the 2DEG.

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Comparison of precision AC and DC measurements with the quantized Hall resistance

Cited by 75 publications

References 15 publications

Development of 7.75 Ratio Voltage Divider Toward a Precise Measurement of Decade Resistance Based on the AC Quantized Hall Resistance

Development of 7.75 Ratio Voltage Divider Toward a Precise Measurement of Decade Resistance Based on the AC Quantized Hall Resistance

AC-magnetotransport of a 2DEG in the quantum Hall regime

Effects of metallic gates on ac measurements of the quantum hall resistance

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