The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Critical Behaviour of Conductivity and Dielectric Constant near the Metal‐Non‐Metal Transition Threshold
Abstract
A system consisting of randomly distributed metallic and dielectric regions is considered. The metal‐non‐metal transition takes place when the volume fraction of the metallic phase approaches the percolation threshold. It is shown that the static dielectric constant diverges near the threshold. Critical indexes are introduced which describe the behaviour of the conductivity and the dielectric constant near the threshold as functions of the volume fraction and frequency. The case of non‐zero dc conductivity of dielectric regions is considered also. It is shown that all indexes describing the critical behaviour of complex conductivity can be expressed by two indexes which are known from computer and model experiments. The results of computer calculations of Webman et al. are analysed.
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Cites
Kirkpatrick, S. (1973) · Reviews of Modern Physics · doi:10.1103/revmodphys.45.574 · Cited by 5,260
Percolation Theory and Electrical Conductivity
Last, B. J., & Thouless, D. J. (1971) · Physical Review Letters · doi:10.1103/physrevlett.27.1719 · Cited by 503
Numerical simulation of electrical conductivity in microscopically inhomogeneous materials
Webman, I., Jortner, J., & Cohen, M. H. (1975) · Physical Review B · doi:10.1103/physrevb.11.2885 · Cited by 270
Percolation theory and conductivity of strongly inhomogeneous media
Shklovskii, B. I., & Efros, A. L. (1975) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0117.197511a.0401 · Cited by 244
Self-citationConductivity in the two-dimensional-site percolation problem
Watson, B. P., & Leath, P. L. (1974) · Physical Review B · doi:10.1103/physrevb.9.4893 · Cited by 224
Dielectric Anomaly and the Metal-Insulator Transition inn-Type Silicon
Castner, T. G., Lee, N. K., Cieloszyk, G. S., & Salinger, G. L. (1975) · Physical Review Letters · doi:10.1103/physrevlett.34.1627 · Cited by 191
Mott, N. F., & Davis, E. A. (1968) · Philosophical Magazine · doi:10.1080/14786436808223201 · Cited by 172
Cited by
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Bouchaud, J.-P., & Georges, A. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90099-n · Cited by 4,162
Scaling theory of percolation clusters
Stauffer, D. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90060-7 · Cited by 2,365
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Flexible Nanodielectric Materials with High Permittivity for Power Energy Storage
Dang, Z., Yuan, J., Yao, S., & Liao, R. (2013) · Advanced Materials · doi:10.1002/adma.201301752 · Cited by 1,454
Physics of inhomogeneous inorganic materials
Nan, C.-W. (1993) · Progress in Materials Science · doi:10.1016/0079-6425(93)90004-5 · Cited by 1,050
Metadata
- Authors
- Efros, A. L., & Shklovskii, B. I.
- Venue
- physica status solidi (b)
- Publisher
- Wiley
- Published
- 1976-08
- Volume
- 76
- Issue
- 2
- Pages
- 475-485
- ISSN
- 0370-1972 (ISSN-L)
- 1521-3951
- OpenAlex
- W1975923127
- Cited by
- 889
- References
- 7
- FWCI
- 3.82
- Type
- journal article
- Language
- en
- Open access
- closed
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- Efros, A. L., & Shklovskii, B. I. (1976). Critical Behaviour of Conductivity and Dielectric Constant near the Metal‐Non‐Metal Transition Threshold. physica status solidi (b). https://doi.org/10.1002/pssb.2220760205
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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.
