Measurement System for Quantum Hall Effect Utilizing a Josephson Potentiometer

Endo, Tadashi; Murayama, Y.; Koyanagi, M.; Kinoshita, J.; Inagaki, K.; Yamanouchi, Chikako; Yoshihiro, Kazuo

doi:10.1109/tim.1985.4315336

Cited by 24 publications

(10 citation statements)

References 3 publications

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“…Consequently the Monday Tuesday Wednesday Thursday Friday resistance ratio is given by the ratio of the voltage drops across these resistors U R,A and U R,B , as given in equation (1).…”

Section: Measurement Principle and Resultsmentioning

confidence: 99%

“…However, CCC bridges are complex systems and not a standard at all national metrology institutes (NMIs). An alternative for high precision arbitrary resistance ratio measurements are potentiometric techniques with use of Josephson voltage standards (JVS) [1]- [4]. The dual Josephson voltage standard potentiometer [4] has the advantage that the voltage drop across each of the two compared resistors can be compensated by a separate JVS, which makes the system very flexible for arbitrary resistance ratio measurements or a change of the measurement current level.…”

Section: Introductionmentioning

confidence: 99%

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Improved dual Josephson voltage standard potentiometer for high precision arbitrary resistance ratio measurements

2010

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This work presents an improved and much more flexible setup of the dual Josephson voltage standard potentiometer. It can be used for high precision arbitrary resistance ratio measurements. For this purpose a 18 channel DAC based current source was developed to control all segments of binary divided 1-V Josephson voltage standard arrays. Additionally different types of current sources to generate the measurement current are built up to test the influence of current noise on the measurement uncertainty. First test measurements on two thermally controlled 12.9 k resistors revealed resistance ratio measurement uncertainties in the 10 -9 range.

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“…Consequently the Monday Tuesday Wednesday Thursday Friday resistance ratio is given by the ratio of the voltage drops across these resistors U R,A and U R,B , as given in equation (1).…”

Section: Measurement Principle and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improved dual Josephson voltage standard potentiometer for high precision arbitrary resistance ratio measurements

2010

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“…Several precise measurements [Bliek et al 1985, Cage et al 1985, Wada et al 1985, Endo et al 1985, and Hartland et al 1985 in metal-oxide semiconductor field-effect transistors (MOSFET) and/or GaAs/Al x Ga 1−x As heterostructures have already demonstrated the excellent reproducibility, for a given laboratory and for a given experimental equipment, of the quantized Hall resistance R H (i). Several precise measurements [Bliek et al 1985, Cage et al 1985, Wada et al 1985, Endo et al 1985, and Hartland et al 1985 in metal-oxide semiconductor field-effect transistors (MOSFET) and/or GaAs/Al x Ga 1−x As heterostructures have already demonstrated the excellent reproducibility, for a given laboratory and for a given experimental equipment, of the quantized Hall resistance R H (i).…”

Section: Precise Quantized Hall Resistance Measurements In In X Ga 1−mentioning

confidence: 99%

GaAs-Based Heterojunction Electron Devices Grown by MOCVD

Razeghi¹

2010

The MOCVD Challenge

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“…Preliminary experiments at PTB show that it is possible to calibrate a 1: 1 voltage ratio at resistances of 12.9 kO. This is an important step for establishing an improved resistance calibration procedure especially for nondecimal resistance ratios which is needed for precision measurements in the quantum Hall effects [23].…”

Section: Future Developmentmentioning

confidence: 99%

“…Manuscript received June23, 1986. J. Niemeyer is with Physikalisch-Technischc Bundesanstalt, 3300 Braunschweig, Germany.…”

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confidence: 99%

On the development of large Josephson series arrays for voltage standards of high precision

Niemeyer

1987

IEEE Trans. Instrum. Meas.

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l; is the critical current, V rf the amplitude of the RF voltage, I n the nth order Bessel function, and I; the external frequency. The corresponding step voltage V n is given by the well-known Josephson voltage-frequency relation: rent step mode [6]. Zero current steps are microwaveinduced constant voltage steps, generated at the part of a highly hysteretic current-voltage characteristic of a tunnel junction that is close enough to the zero current axis of the current-voltage characteristic for the steps to cross this axis. The current width dIn of the nth zero current step is twice the absolute value of the Bessel function for a conventional microwave-induced step of the same voltage:In spite of the normal spread of the junction parameters occurring in junction fabrication processes, the current width and the position of such steps in the characteristic allow the biasing of a series array with a considerable number of tunnel junctions to a high voltage with only one current source at zero or near-zero bias current.Although they showed encouraging results, early experiments were restricted in the number of junctions and did not satisfy all the required conditions [7]-[9]. The best results published at that time were 0.6 mV per junction for an array reference voltage of 35 mV (see [8]).In order to supply stable reference voltages of about 1 mV per junction, a series array must meet two conditions: 1) it must be part of a microwave circuit that provides each junction of the array with the same amount of microwave power; 2) the junction chosen parameters must be suitable for establishing a stable phase lock between the driving RF current and the Josephson RF current, [6], [7], [10]; to avoid the chaotic regime, the frequency of the external oscillator must be larger than the plasma frequencies h of all array junctions. The condition h =~I.has been estimated from simulations to be sufficient [11] and has also been experimentally verified. From this restriction on I, and fromAbstract-It is possible to obtain stable reference voltages of more than 1 V for high-precision voltage standards by generating microwave-induced zero current constant voltage steps in the dc characteristic of large series arrays of Josephson tunnel junctions. An array voltage of 1 V can be reproduced within a few parts in 10 10 at room temperature. The current dependence of the step voltage at the I-V level over a stepwidth of 20 flA is less than 7 x 10-13V.

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Measurement System for Quantum Hall Effect Utilizing a Josephson Potentiometer

Cited by 24 publications

References 3 publications

Improved dual Josephson voltage standard potentiometer for high precision arbitrary resistance ratio measurements

Improved dual Josephson voltage standard potentiometer for high precision arbitrary resistance ratio measurements

GaAs-Based Heterojunction Electron Devices Grown by MOCVD

On the development of large Josephson series arrays for voltage standards of high precision

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