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

Published

July 3, 2025

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

Pub Type

Journals

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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 24, 2025)