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Quenching of the Hall Effect in a One-Dimensional Wire
Abstract
We report the first observation of the complete quenching of the Hall effect in a one-dimensional conductor. In our narrowest wires at low temperatures and for small magnetic fields, where the 1D subband splittings exceed both ${k}_{\mathrm{B}}T$ and $\ensuremath{\hbar}{\ensuremath{\omega}}_{c}$, we observe striking departures from the 2D Hall effect, characterized by an unexpected low-field plateau and a precipitous, complete suppression of the Hall resistance. We believe these to be unambiguous manifestations of one-dimensional electrical transport; they appear to provide a direct measure of the number of quantum conduction channels that participate.
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Citations
Cites
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
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
Cited by
Absence of backscattering in the quantum Hall effect in multiprobe conductors
Büttiker, M. (1988) · Physical Review B · doi:10.1103/physrevb.38.9375 · Cited by 1,555
Conductance fluctuations and chaotic scattering in ballistic microstructures
Marcus, C. M., Rimberg, A. J., Westervelt, R. M., Hopkins, P. F., & Gossard, A. C. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.506 · Cited by 649
Metadata
- Authors
- Roukes, M. L., Scherer, A., Allen, S. J., Craighead, H. G., Ruthen, R. M., Beebe, E. D., & Harbison, J. P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-12-28
- Volume
- 59
- Issue
- 26
- Pages
- 3011-3014
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2031386512
- Cited by
- 440
- References
- 2
- FWCI
- 34.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Roukes, M. L., Scherer, A., Allen, S. J., Craighead, H. G., Ruthen, R. M., Beebe, E. D., & Harbison, J. P. (1987). Quenching of the Hall Effect in a One-Dimensional Wire. Physical Review Letters. https://doi.org/10.1103/physrevlett.59.3011
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