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Implementation of a 1 GΩ star-mesh graphene quantum Hall array resistance standard network for high resistance calibration

Published

Author(s)

Dean Jarrett, Albert Rigosi, Yanfei Yang, Alireza Panna, David Newell, Ngoc Thanh Mai Tran, Wei-Chen Lin, Marta Musso, Cheng-Hsueh Yang, Chi-Te Liang, Massimo Ortolano, Randolph Elmquist

Abstract

A 1 GΩ star-mesh quantized Hall array resistance standard (QHARS) made of thirty-seven quantum Hall effect (QHE) elements was fabricated and tested. The 1 GΩ QHARS has three orders of magnitude fewer QHE elements than a largely series 1 GΩ QHARS, which would require approximately 77,480 QHE elements. A dual source bridge, using a nanovolt detector and modified algorithm using least-squares analysis to extrapolate a bridge null from five points near null of the linear measurement system. The 1 GΩ star-mesh QHARS was used as a standard to calibrate 100 MΩ, 1 GΩ, and 10 GΩ high resistance standards. The star-mesh measurements agreed within the combined standard uncertainties of the values of these standards based on traditional high resistance scaling from the i = 2 quantized Hall resistance value of 12 906.403 7 ... Ω, where guarded Hamon transfer standards and dual source bridges are used to build-up to high resistance ranges from 1 MΩ standard resistors.
Citation
IEEE Transactions on Instrumentation and Measurement

Keywords

Resistance, electrical resistance measurement, bridge circuits, calibration, graphene, Hall effect devices, standards.

Citation

Jarrett, D. , Rigosi, A. , Yang, Y. , Panna, A. , Newell, D. , Tran, N. , Lin, W. , Musso, M. , Yang, C. , Liang, C. , Ortolano, M. and Elmquist, R. (2025), Implementation of a 1 GΩ star-mesh graphene quantum Hall array resistance standard network for high resistance calibration, IEEE Transactions on Instrumentation and Measurement, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=959763 (Accessed October 2, 2025)

Issues

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Created July 3, 2025, Updated June 26, 2025
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