The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Electrostatics of edge channels
Abstract
We propose a quantitative electrostatic theory of the gate-induced confinement of two-dimensional electron gas (2DEG) in the quantum Hall regime. The self-consistent electrostatic potential in the region occupied by 2DEG changes in a steplike manner due to the formation of alternating strips of compressible and incompressible electron liquids. We obtain the dependence of positions and widths of these strips on the filling factor. Incompressible strips are shown to be much more narrow than the compressible ones. The relationship between the widths of the adjacent compressible and incompressible strips is found to be universal: It does not depend on the strip number, magnetic field, or gate voltage. Our theory enables us to explain results obtained in experimental studies of edge-state equilibration.
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Cites
A Treatise on Electricity and Magnetism
Maxwell, J. C. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511709340 · Cited by 2,457
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
Edge channels for the fractional quantum Hall effect
Beenakker, C. W. J. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.216 · Cited by 315
Self-consistent addition spectrum of a Coulomb island in the quantum Hall regime
McEuen, P. L., Foxman, E. B., Kinaret, J., Meirav, U., Kastner, M. A., Wingreen, N. S., & Wind, S. J. (1992) · Physical Review B · doi:10.1103/physrevb.45.11419 · Cited by 296
Selective equilibration among the current-carrying states in the quantum Hall regime
Alphenaar, B. W., McEuen, P. L., Wheeler, R. G., & Sacks, R. N. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.677 · Cited by 222
Anomalous integer quantum Hall effect in the ballistic regime with quantum point contacts
van Wees, B. J., Willems, E. M. M., Harmans, C. J. P. M., Beenakker, C. W. J., van Houten, H., Williamson, J. G., Foxon, C. T., & Harris, J. J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.1181 · Cited by 216
Chang, A. M. (1990) · Solid State Communications · doi:10.1016/0038-1098(90)90447-j · Cited by 162
Selective population and detection of edge channels in the fractional quantum Hall regime
Kouwenhoven, L. P., van Wees, B. J., van der Vaart, N. C., Harmans, C. J. P. M., Timmering, C. E., & Foxon, C. T. B. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.685 · Cited by 104
Homogeneous and inhomogeneous states of a two-dimensional electron liquid in a strong magnetic field
Efros, A. L. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.11354 · Cited by 71
Suppression of inter-edge-state equilibration due to multiple scattering with impurities
Martin, T., & Feng, S. C. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.44.9084 · Cited by 30
Cited by
Topological orders and edge excitations in fractional quantum Hall states
Wen, X.-G. (1995) · Advances in Physics · doi:10.1080/00018739500101566 · Cited by 1,060
Introduction to Mesoscopic Electron Transport
Kouwenhoven, L. P., Schön, G., & Sohn, L. L. (1997) · Mesoscopic Electron Transport · doi:10.1007/978-94-015-8839-3_1 · Cited by 399
Chiral Luttinger liquids at the fractional quantum Hall edge
Chang, A. M. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.1449 · Cited by 391
Ground state of a two-dimensional electron liquid in a weak magnetic field
Fogler, M. M., Koulakov, A. A., & Shklovskii, B. I. (1996) · Physical Review B · doi:10.1103/physrevb.54.1853 · Cited by 362
Self-citation
Metadata
- Authors
- Chklovskii, D. B., Shklovskii, B. I., & Glazman, L. I.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1992-08-15
- Volume
- 46
- Issue
- 7
- Pages
- 4026-4034
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1969525213
- Cited by
- 960
- References
- 10
- FWCI
- 26.92
- Type
- journal article
- Language
- en
- Open access
- closed
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- Chklovskii, D. B., Shklovskii, B. I., & Glazman, L. I. (1992). Electrostatics of edge channels. Physical Review B. https://doi.org/10.1103/physrevb.46.4026
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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