Precision comparison of the quantum Hall effect in graphene and gallium arsenide

Details Precision comparison of the quantum Hall effect in graphene and gallium arsenide Precision comparison of the quantum Hall effect in graphene and gallium arsenide

2012-02-14

arxiv.org/abs/1202.2985v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

The half-integer quantum Hall effect in epitaxial graphene is compared with high precision to the well known integer effect in a GaAs/AlGaAs heterostructure. We find no difference between the quantised resistance values within the relative standard uncertainty of our measurement of $8.7\times 10^{-11}$. The result places new tighter limits on any possible correction terms to the simple relation $R_{\rm K}=h/e^2$, and also demonstrates that epitaxial graphene samples are suitable for application as electrical resistance standards of the highest metrological quality. We discuss the characterisation of the graphene sample used in this experiment and present the details of the cryogenic current comparator bridge and associated uncertainty budget.

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