The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
One-dimensional transport and the quantisation of the ballistic resistance
Abstract
The authors present experimental results, and a supporting theory, showing that a one-dimensional system in which transport is ballistic possesses a quantised resistance, h/2ie 2 , where i is the number of occupied 1D sub-bands and the spin degeneracy is two. A short narrow channel is defined in the 2DEG of a GaAs-AlGaAs heterojunction and as the width of the system is changed, the sub-bands pass through the Fermi energy and the resistance jumps between quantised values. The value of the quantised resistance is derived and the accuracy of the quantisation is discussed. The effect can be strong at temperatures approximately 0.1 K, with up to 17 sub-bands being observed. The action of a transverse magnetic field is to depopulate the sub-bands and form hybrid levels; a parallel field lifts the spin degeneracy and brings about a further quantisation of resistance at values h/2(i+ 1 / 2 )e 2 .
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Citations
Cites
Magnetic Depopulation of 1D Subbands in a Narrow 2D Electron Gas in a GaAs:AlGaAs Heterojunction
Berggren, K. F., Thornton, T. J., Newson, D. J., & Pepper, M. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.1769 · Cited by 363
Self-citation
Cited by
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Büttiker, M. (1988) · Physical Review B · doi:10.1103/physrevb.38.9375 · Cited by 1,555
Universal optical conductance of graphite.
Kuzmenko, A. B., van Heumen, E., Carbone, F., & van der Marel, D. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.117401 · Cited by 1,026
Experimental Test of the Quantum Shot Noise Reduction Theory
Kumar, A., Saminadayar, L., Glattli, D. C., Jin, Y., & Etienne, B. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.2778 · Cited by 295
Quantum interference in electron collision
Liu, R. C., Odom, B., Yamamoto, Y., & Tarucha, S. (1998) · Nature · doi:10.1038/34611 · Cited by 249
Metadata
- Authors
- Wharam, D. A., Thornton, T. J., Newbury, R., Pepper, M., Ahmed, H., Frost, J. E. F., Hasko, D. G., Peacock, D. C., Ritchie, D. A., & Jones, G. A. C.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1988-03-20
- Volume
- 21
- Issue
- 8
- Pages
- L209-L214
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2102183493
- Cited by
- 2,041
- References
- 1
- FWCI
- 78.55
- Type
- journal article
- Language
- en
- Open access
- closed
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- The paper
- Wharam, D. A., Thornton, T. J., Newbury, R., Pepper, M., Ahmed, H., Frost, J. E. F., Hasko, D. G., Peacock, D. C., Ritchie, D. A., & Jones, G. A. C. (1988). One-dimensional transport and the quantisation of the ballistic resistance. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/21/8/002
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
