D Gottlieb and V Halpern 1976 J. Phys. F: Met. Phys. 6 2333 doi:10.1088/0305-4608/6/12/019
D Gottlieb and V Halpern
Show affiliationsThe solution of the Boltzmann transport equation to calculate the electrical conductivity of very thin metal films is a difficult mathematical problem. However, on physical grounds one expects this conductivity to depend on the total rate of scattering of the electrons, and not on the scattering rate weighted in favour of large-angle scattering as is the case for bulk crystals. This hypothesis has been confirmed by analysis of the results of previous calculations, and by calculations using a new technique that the authors have developed. Thus, it is found that the standard Fuchs-Sondheimer results are applicable to films whose thickness is less than 1/100 of the electron mean free path lb, provided that one inserts in this theory the value, lb0, appropriate to the total scattering rate. In practice, the use of lb in place of lb0 usually introduces only a small error.
73.61.At Metal and metallic alloys
68.55.-a Thin film structure and morphology
73.50.Bk General theory, scattering mechanisms
73.50.Gr Charge carriers: generation, recombination, lifetime, trapping, mean free paths
Issue 12 (December 1976)
D Gottlieb and V Halpern 1976 J. Phys. F: Met. Phys. 6 2333
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