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The theory of electronic conduction in polar semi-conductors
Abstract
The Boltzmann equation is set up for the conduction electrons in a crystal in which the scattering is due to the polarization waves of the lattice, and it is pointed out that at low temperatures it is impossible to define a unique time of relaxation for the scattering process. The Boltzmann equation is solved by means of a variational method, and exact expressions for the electrical conductivity and the thermo-electric power are obtained in the form of ratios of infinite determinants. By approximating to the exact solutions, relatively simple expressions are derived which are used to discuss the dependence of the conduction phenomena upon the temperature and upon the degree of degeneracy of the electron gas.
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Citations
Cited by
Electrical and Optical Properties of Narrow-Band Materials
Adler, D., & Feinleib, J. (1970) · Physical Review B · doi:10.1103/physrevb.2.3112 · Cited by 874
Mobility of Slow Electrons in a Polar Crystal
Feynman, R. P., Hellwarth, R. W., Iddings, C. K., & Platzman, P. M. (1962) · Physical Review · doi:10.1103/physrev.127.1004 · Cited by 401
Anistropy of the Constant-Energy Surfaces inn-Type BiTe32andBi2Se3from Galvanomagnetic Coefficients
Caywood, L. P., & Miller, G. R. (1970) · Physical Review B · doi:10.1103/physrevb.2.3209 · Cited by 89
Metadata
- Authors
- Howarth, D. J., & Sondheimer, E. H.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1953-08-11
- Volume
- 219
- Issue
- 1136
- Pages
- 53-74
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2028531368
- Cited by
- 385
- References
- 0
- FWCI
- 3.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The theory of electronic conduction in polar semi-conductors. https://app.cochat.ai/papers/10.1098/rspa.1953.0130
- The paper
- Howarth, D. J., & Sondheimer, E. H. (1953). The theory of electronic conduction in polar semi-conductors. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1953.0130
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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.
