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The conductivity of thin metallic films according to the electron theory of metals
Abstract
The conductivity of thin films of the alkali metals has recently been measured in the H. W. Wills Physical Laboratory, Bristol*. It was found that as the thickness of the film is decreased to that of a few atomic layers the conductivity drops below that of the bulk metal. In the papers quoted the hypothesis was put forward that this effect is due to the shortening of the mean free paths of the conduction electrons of the metal by collisions with the boundaries of the film. The experimental results were compared with a formula derived on the basis of this hypothesis. This formula was, however, obtained subject to a number of simplifying assumptions, and it is the first purpose of this paper to obtain a more accurate formula. I also compare this formula with experiment, and make certain deductions about the surfaces of thin films.
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Citations
Cited by
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
The mean free path of electrons in metals
Sondheimer, E. H. (1952) · Advances in Physics · doi:10.1080/00018735200101151 · Cited by 2,614
Alternative Plasmonic Materials: Beyond Gold and Silver
Naik, G. V., Shalaev, V. M., & Boltasseva, A. (2013) · Advanced Materials · doi:10.1002/adma.201205076 · Cited by 2,373
Past achievements and future challenges in the development of optically transparent electrodes
Ellmer, K. (2012) · Nature Photonics · doi:10.1038/nphoton.2012.282 · Cited by 2,090
Nanoscale thermal transport. II. 2003–2012
Cahill, D. G., Braun, P. V., Chen, G., Clarke, D. R., Fan, S., Goodson, K. E., Keblinski, P., King, W. P., Mahan, G. D., Majumdar, A., et al. (2014) · Applied Physics Reviews · doi:10.1063/1.4832615 · Cited by 1,763
Metadata
- Authors
- Fuchs, K.
- Venue
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publisher
- Cambridge University Press (CUP)
- Published
- 1938-01
- Volume
- 34
- Issue
- 1
- Pages
- 100-108
- ISSN
- 0305-0041 (ISSN-L)
- 1469-8064
- OpenAlex
- W2013125835
- Cited by
- 2,276
- References
- 0
- FWCI
- 2.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fuchs, K. (1938). The conductivity of thin metallic films according to the electron theory of metals. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/s0305004100019952
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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.
