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The localization of electrons in ordered and disordered systems I. Percolation of classical particles
Open accessAbstract
The localization of `classical electrons' in disordered materials (e.g. liquid metals) is studied with the aid of percolation theory. It is shown that the transition from localized to delocalized states occurs over a fairly narrow range of energy, but is not mathematically discontinuous except in the one-dimensional case. Some implications for the theory of this transition for real quantum-mechanical electrons are suggested.
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Citations
Cited by
Kirkpatrick, S. (1973) · Reviews of Modern Physics · doi:10.1103/revmodphys.45.574 · Cited by 5,260
Percolation and conductivity: A computer study. I
Pike, G. E., & Seager, C. H. (1974) · Physical Review B · doi:10.1103/physrevb.10.1421 · Cited by 1,031
Statistical Exchange-Correlation in the Self-Consistent Field
Slater, J. C. (1972) · Advances in Quantum Chemistry · doi:10.1016/s0065-3276(08)60541-9 · Cited by 1,018
Percolation Theory and Electrical Conductivity
Last, B. J., & Thouless, D. J. (1971) · Physical Review Letters · doi:10.1103/physrevlett.27.1719 · Cited by 503
Lloyd, P. (1969) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/2/10/303 · Cited by 306
Metadata
- Authors
- Ziman, J. M.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1968-12
- Volume
- 1
- Issue
- 6
- Pages
- 1532-1538
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2040774056
- Cited by
- 167
- References
- 0
- FWCI
- 8.18
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: The localization of electrons in ordered and disordered systems I. Percolation of classical particles. https://app.cochat.ai/papers/10.1088/0022-3719/1/6/308
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- Ziman, J. M. (1968). The localization of electrons in ordered and disordered systems I. Percolation of classical particles. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/1/6/308
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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.
