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Electron Delocalization by a Magnetic Field in Two Dimensions
Abstract
The problem of two-dimensional localization in the presence of a magnetic field is reconsidered. The existence of extended electronic states is demonstrated by use of the replica formalism and duality arguments. These states are analogs of $\ensuremath{\theta}=\ensuremath{\pi}$ vacua in four-dimensional Yang-Mills theories, and occur at the center of each Landau band. The present results complete the explanation of the integrally quantized Hall effect.
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Citations
Cites
Symmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Cited by
Evers, F., & Mirlin, A. D. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1355 · Cited by 2,092
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
Integer quantum Hall transition: An alternative approach and exact results
Ludwig, A. W. W., Fisher, M. P. A., Shankar, R., & Grinstein, G. (1994) · Physical Review B · doi:10.1103/physrevb.50.7526 · Cited by 709
Checkelsky, J. G., Yoshimi, R., Tsukazaki, A., Takahashi, K. S., Kozuka, Y., Falson, J., Kawasaki, M., & Tokura, Y. (2014) · Nature Physics · doi:10.1038/nphys3053 · Cited by 666
Affleck, I. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90167-7 · Cited by 521
Metadata
- Authors
- Levine, H., Libby, S. B., & Pruisken, A. M. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-11-14
- Volume
- 51
- Issue
- 20
- Pages
- 1915-1918
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2008458500
- Cited by
- 319
- References
- 2
- FWCI
- 15.35
- Type
- journal article
- Language
- en
- Open access
- closed
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- The paper
- Levine, H., Libby, S. B., & Pruisken, A. M. M. (1983). Electron Delocalization by a Magnetic Field in Two Dimensions. Physical Review Letters. https://doi.org/10.1103/physrevlett.51.1915
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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.
