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Simple Model for Density of States and Mobility of an Electron in a Gas of Hard-Core Scatterers
Abstract
We give a semiquantitative model for the density of states and transport properties of an electron in a system of randomly located hard-core scatterers. Our main results are these: (a) The density of states has the usual square-root behavior for high energies and a tail of localized states at the low-energy end; the energy at which the transition occurs is computed from percolation theory. (b) For a fixed temperature the fraction of electrons in localized states increases drastically with the density of scatterers above a critical density. Thus, our model provides a physical explanation for the mobility transition found by Neustadter and Coopersmith.
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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
Percolation Theory and Electrical Conductivity
Last, B. J., & Thouless, D. J. (1971) · Physical Review Letters · doi:10.1103/physrevlett.27.1719 · Cited by 503
Metadata
- Authors
- Eggarter, T. P., & Cohen, M. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1970-09-21
- Volume
- 25
- Issue
- 12
- Pages
- 807-810
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2017032401
- Cited by
- 173
- References
- 0
- FWCI
- 13.21
- Type
- journal article
- Language
- en
- Open access
- closed
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- Eggarter, T. P., & Cohen, M. H. (1970). Simple Model for Density of States and Mobility of an Electron in a Gas of Hard-Core Scatterers. Physical Review Letters. https://doi.org/10.1103/physrevlett.25.807
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