Algorithmic Optimization of Star-Mesh Quantized Hall Resistance Networks for Bridge Sensitivity

Published

July 2, 2026

Author(s)

Gretchen Ferguson, Albert Rigosi, Dominick Scaletta, David Newell, Dean Jarrett

Abstract

Contemporary advances in electrical metrology include the understanding and development of star-mesh transformations and their applicability to the access of very high quantized resistances. These pursuits seek to drastically reduce the traceability chain for global calibrations, as demonstrated by a recent exemplary 1 GΩ star-mesh graphene quantum Hall array resistance standard (QHARS) using a dual-source bridge. Such studies revealed that there are limitations to many symmetrically iterated star-mesh devices, mainly due to single elements experiencing high enough current that its QHE breaks down, as well as general decreased bridge sensitivity. These two issues may be overcome by modifying the star-mesh designs to include a sufficient number of Hall elements at the first and the last branches of the QHARS. In this work, new designs that give consideration to quantum Hall breakdown currents and bridge measurement performances were analyzed using the LTspice circuit simulator replicating the behavior of star-mesh devices in the quantized state. Several improved QHARS device designs for outputs of 1 GΩ and 10 GΩ are reported, with device output resistances falling within 500 µΩ/Ω of nominal.

Citation

IEEE Open Journal of Instrumentation and Measurement

Pub Type

Journals

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Keywords

Resistance, quantum Hall effect, standards, electrical resistance measurement, calibration

Citation

Ferguson, G. , Rigosi, A. , Scaletta, D. , Newell, D. and Jarrett, D. (2026), Algorithmic Optimization of Star-Mesh Quantized Hall Resistance Networks for Bridge Sensitivity, IEEE Open Journal of Instrumentation and Measurement, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=962122 (Accessed July 11, 2026)

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