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Quantized Multichannel Magnetotransport through a Barrier in Two Dimensions
Abstract
Magnetoresistance measurements in a $\frac{{\mathrm{Al}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{As}}{\mathrm{GaAs}}$ heterojunction with a gate covering a small region of the sample reveal quantized values for certain ranges of gate voltage; these are explainable in terms of a Landauer resistance formula. The quantization occurs when the voltage probes are located in a region of dissipationless current flow, where the quantum Hall effect provides a physical realization of ideal leads. The measurements distinguish dramatically between different multichannel generalizations of the Landauer formula.
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Citations
Cites
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Cited by
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Beenakker, C. W. J., & van Houten, H. (1991) · Solid State Physics · doi:10.1016/s0081-1947(08)60091-0 · Cited by 1,193
Quantum Hall Effect in a Gate-Controlled p-n Junction of Graphene
Williams, J. R., DiCarlo, L., & Marcus, C. M. (2007) · Science · doi:10.1126/science.1144657 · Cited by 984
Chiral Luttinger liquid and the edge excitations in the fractional quantum Hall states
Wen, X. G. (1990) · Physical Review B · doi:10.1103/physrevb.41.12838 · Cited by 697
Electronic Transport and Quantum Hall Effect in Bipolar Graphenep−n−pJunctions
Özyilmaz, B., Jarillo-Herrero, P., Efetov, D., Abanin, D. A., Levitov, L. S., & Kim, P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.166804 · Cited by 472
Electrical linear-response theory in an arbitrary magnetic field: A new Fermi-surface formation
Baranger, H. U., & Stone, A. D. (1989) · Physical Review B · doi:10.1103/physrevb.40.8169 · Cited by 468
Metadata
- Authors
- Haug, R. J., MacDonald, A. H., Streda, P., & von Klitzing, K.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-12-12
- Volume
- 61
- Issue
- 24
- Pages
- 2797-2800
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1998973869
- Cited by
- 221
- References
- 1
- FWCI
- 15.26
- Type
- journal article
- Language
- en
- Open access
- closed
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- Haug, R. J., MacDonald, A. H., Streda, P., & von Klitzing, K. (1988). Quantized Multichannel Magnetotransport through a Barrier in Two Dimensions. Physical Review Letters. https://doi.org/10.1103/physrevlett.61.2797
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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.
