Abstract
FOLLOWING upon Dr. Sondheimer's letter above, we feel it may be of interest to mention some theoretical work that we have undertaken on this problem. Dr. Sondheimer's work appears of peculiar interest since, in the case of a thin plate in a transverse magnetic field perpendicular to the plane of the film, one is not led to expect any variation of conductivity on a simple mean free path concept such as used by Thomson1 and Lovell2 in their size-effect analyses. We were therefore ourselves led to consider the problem of the application of a transverse magnetic field in the plane of the film, since elementary consideration of the electron trajectories in this case readily indicates a mechanism for decrease of the resistance.
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References
Thomson, J. J., Proc. Camb. Phil. Soc., 11, 120 (1901).
Lovell, A. C. B., Proc. Roy. Soc., A, 157, 311 (1936).
MacDonald, D. K. C., Nature, 163, 637 (1949).
Fuchs, K., Proc. Camb. Phil. Soc., 34, 100 (1938).
Andrew, E. R., Proc. Phys. Soc., 62, 77 (1949).
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SARGINSON, K., MACDONALD, D. Influence of a Magnetic Field on the Size-Variation of Electrical Conductivity. Nature 164, 921–922 (1949). https://doi.org/10.1038/164921a0
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DOI: https://doi.org/10.1038/164921a0
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