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The quantum Hall effect as an electrical resistance standard
Open accessAbstract
The quantum Hall effect (QHE) provides an invariant reference for resistance linked to natural constants. It is used worldwide to maintain and compare the unit of resistance. The reproducibility reached today is almost two orders of magnitude better than the uncertainty of the determination of the ohm in the international system of units SI. In this article, mainly the aspects of the QHE relevant for its metrological application are reviewed. After a short introduction of the theoretical models describing the integer QHE, the properties of the devices used in metrology and the measurement techniques are described. A detailed summary is given on the measurements carried out to demonstrate the universality of the quantized Hall resistance and to assess all the effects leading to deviations of the Hall resistance from the quantized value. In addition, the present and future role of the QHE in the SI and the field of natural constants is discussed.
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Citations
Cites
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Nobel Lecture: Fractional quantization
Laughlin, R. B. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.863 · Cited by 321
Cited by
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
Chang, C.-Z., Zhang, J., Feng, X., Shen, J., Zhang, Z., Guo, M., Li, K., Ou, Y., Wei, P., Wang, L.-L., et al. (2013) · Science · doi:10.1126/science.1234414 · Cited by 3,893
Robust optical delay lines with topological protection
Hafezi, M., Demler, E. A., Lukin, M. D., & Taylor, J. M. (2011) · Nature Physics · doi:10.1038/nphys2063 · Cited by 1,466
Towards a quantum resistance standard based on epitaxial graphene
Tzalenchuk, A., Lara-Avila, S., Kalaboukhov, A., Paolillo, S., Syväjärvi, M., Yakimova, R., Kazakova, O., Janssen, T. J. B. M., Fal'ko, V., & Kubatkin, S. (2010) · Nature Nanotechnology · doi:10.1038/nnano.2009.474 · Cited by 486
Base units of the SI, fundamental constants and modern quantum physics
Bordé, C. J. (2005) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2005.1635 · Cited by 124
Metadata
- Authors
- Jeckelmann, B., & Jeanneret, B.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 2001-11-08
- Volume
- 64
- Issue
- 12
- Pages
- 1603-1655
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W1965647794
- Cited by
- 262
- References
- 3
- FWCI
- 10.47
- Type
- journal article
- Language
- en
- Open access
- bronze
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