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Percolation, quantum tunnelling and the integer Hall effect
Open accessAbstract
A model is introduced for Anderson localisation in the integer quantum Hall regime. The model represents a system with a disordered potential that varies slowly on the scale of the magnetic length, but includes quantum tunnelling and interference effects. Numerical calculations indicate that the localisation length diverges only at the centre of each Landau band. The scaling behaviour near the mobility edge is analysed: results suggest that quantum tunnelling induces crossover at the classical percolation threshold to critical behaviour similar to that found previously for a rapidly varying potential.
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Citations
Cited by
Evers, F., & Mirlin, A. D. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1355 · Cited by 2,092
Localization: theory and experiment
Kramer, B., & MacKinnon, A. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/12/001 · Cited by 1,926
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
Vishwanath, A., & Senthil, T. (2013) · Physical Review X · doi:10.1103/physrevx.3.011016 · Cited by 489
Experimental demonstration of anomalous Floquet topological insulator for sound
Peng, Y.-G., Qin, C.-Z., Zhao, D.-G., Shen, Y.-X., Xu, X.-Y., Bao, M., Jia, H., & Zhu, X.-F. (2016) · Nature Communications · doi:10.1038/ncomms13368 · Cited by 461
Metadata
- Authors
- Chalker, J. T., & Coddington, P. D.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1988-05-20
- Volume
- 21
- Issue
- 14
- Pages
- 2665-2679
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2118840193
- Cited by
- 774
- References
- 0
- FWCI
- 3.59
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Percolation, quantum tunnelling and the integer Hall effect. https://app.cochat.ai/papers/10.1088/0022-3719/21/14/008
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- Chalker, J. T., & Coddington, P. D. (1988). Percolation, quantum tunnelling and the integer Hall effect. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/21/14/008
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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.
