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Percolation on a Continuum and the Localization-Delocalization Transition in Amorphous Semiconductors
Abstract
The concept of percolation has been set in a form which is more directly germane than the existing theory of percolation on lattices to the question of the localization-delocalization transition (mobility edge) in amorphous semiconductors. The problem of percolation on a continuum has been formulated in the context of motion in a random potential $V(\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}})$. An energy-dependent dimensionless density $\ensuremath{\varphi}(E)$ is introduced which specifies the fraction of space satisfying $V
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
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
Roberts, A. P., & Teubner, M. (1995) · Physical Review E · doi:10.1103/physreve.51.4141 · Cited by 153
The phase transition for planar Gaussian percolation models without FKG
Muirhead, S., Rivera, A., Vanneuville, H., & Köhler-Schindler, L. (2020) · arXiv · doi:10.48550/arxiv.2010.11770 · Cited by 21
Metadata
- Authors
- Zallen, R., & Scher, H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1971-12-15
- Volume
- 4
- Issue
- 12
- Pages
- 4471-4479
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2079128750
- Cited by
- 275
- References
- 1
- FWCI
- 5.15
- Type
- journal article
- Language
- en
- Open access
- closed
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- Zallen, R., & Scher, H. (1971). Percolation on a Continuum and the Localization-Delocalization Transition in Amorphous Semiconductors. Physical Review B. https://doi.org/10.1103/physrevb.4.4471
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