Constructing 100 M{\Omega} and 1 G{\Omega} Resistance Standards via Star-Mesh Transformations

A recent mathematical framework for optimizing resistor networks to achieve values in the M{\Omega} through G{\Omega} levels was employed for two specific cases. Objectives here include proof of concept and identification of possible apparatus limitations for future experiments involving graphene-ba...

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Bibliographic Details
Published inarXiv.org
Main Authors Jarrett, Dean G, Rigosi, Albert F, Scaletta, Dominick S, Ngoc Thanh Mai Tran, Hill, Heather M, Panna, Alireza R, Cheng Hsueh Yang, Yang, Yanfei, Elmquist, Randolph E, Newell, David B
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 02.02.2024
Subjects
Graphene
Quantum Hall effect
Resistors
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Summary:A recent mathematical framework for optimizing resistor networks to achieve values in the M{\Omega} through G{\Omega} levels was employed for two specific cases. Objectives here include proof of concept and identification of possible apparatus limitations for future experiments involving graphene-based quantum Hall array resistance standards. Using fractal-like, or recursive, features of the framework allows one to calculate and implement network designs with substantially lower-valued resistors. The cases of 100 M{\Omega} and 1 G{\Omega} demonstrate that, theoretically, one would not need more than 100 quantum Hall elements to achieve these high resistances.
ISSN:2331-8422