The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Quantized Hall effect and edge currents
Abstract
It is shown that the quantized Hall current may always be expressed as the difference between diamagnetic currents flowing at the two edges. It is argued that the high precision of the quantization may be aided by the establishment of a local equilibrium in each edge region. The basic ideas are illustrated by the discussion of a free two-dimensional electron gas in an infinite confining potential. Our derivation establishes the connection between quantum-mechanical and classical thermodynamic explanations for the quantum Hall effect.
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In the citing paper
“Because of the unidirectional nature of the edge states, the edge currents are immune to backscattering, resulting in the precise and robust quantization of the measured Hall conductance”
From Topological photonics (2019) · cites this paper as MacDonald and Středa, 1984
In the citing paper
“each of such edge modes contributes -e 2 =h to the measured Hall conductance”
From Topological photonics (2019) · cites this paper as MacDonald and Středa, 1984
Citations
Cites
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Quantized Hall conductivity in two dimensions
Laughlin, R. B. (1981) · Physical Review B · doi:10.1103/physrevb.23.5632 · Cited by 2,162
Theory of quantised Hall conductivity in two dimensions
Streda, P. (1982) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/15/22/005 · Cited by 643
Quantised Hall effect in a two-dimensional periodic potential
Středa, P. (1982) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/15/36/006 · Cited by 166
Self-citationHall voltage and current distributions in an ideal two-dimensional system
MacDonald, A. H., Rice, T. M., & Brinkman, W. F. (1983) · Physical review. B, Condensed matter · doi:10.1103/physrevb.28.3648 · Cited by 165
Self-citationEvidence for a Collective Ground State in Si Inversion Layers in the Extreme Quantum Limit
Wilson, B. A., Allen, S. J., & Tsui, D. C. (1980) · Physical Review Letters · doi:10.1103/physrevlett.44.479 · Cited by 100
Thermodynamic derivation of the Hall effect current
Widom, A. (1982) · Physics Letters A · doi:10.1016/0375-9601(82)90401-7 · Cited by 85
Inversion layer thermopower in high magnetic field
Girvin, S. M., & Jonson, M. (1982) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/15/32/006 · Cited by 79
Quantized Hall conductance and edge states: Two-dimensional strips with a periodic potential
Rammal, R., Toulouse, G., Jaekel, M.-T., & Halperin, B. I. (1983) · Physical review. B, Condensed matter · doi:10.1103/physrevb.27.5142 · Cited by 69
Thermodynamic derivation of the Hall current and the thermopower in quantising magnetic field
Středa, P., & Smrčka, L. (1983) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/16/24/005 · Cited by 58
Self-citation
Research works printed but not linked: 1
- B. I. Halperin, 1983, Helv. Phys. Acta
Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Quantum anomalous Hall effect and related topological electronic states
Weng, H., Yu, R., Hu, X., Dai, X., & Fang, Z. (2015) · Advances in Physics · doi:10.1080/00018732.2015.1068524 · Cited by 506
Finite Size Effects on Helical Edge States in a Quantum Spin-Hall System
Zhou, B., Lu, H.-Z., Chu, R.-L., Shen, S.-Q., & Niu, Q. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.246807 · Cited by 494
Metadata
- Authors
- MacDonald, A. H., & Středa, P.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1984-02-15
- Volume
- 29
- Issue
- 4
- Pages
- 1616-1619
- ISSN
- 0163-1829
- Cited by
- 282
- References
- 10
- Language
- en
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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.
