TY - JOUR

T1 - The electrical conductivity of very thin metal films

AU - Gottlieb, D.

AU - Halpern, V.

PY - 1976

Y1 - 1976

N2 - The 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, l b0, appropriate to the total scattering rate. In practice, the use of lb in place of lb0 usually introduces only a small error.

AB - The 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, l b0, appropriate to the total scattering rate. In practice, the use of lb in place of lb0 usually introduces only a small error.

UR - http://www.scopus.com/inward/record.url?scp=33947099206&partnerID=8YFLogxK

U2 - 10.1088/0305-4608/6/12/019

DO - 10.1088/0305-4608/6/12/019

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AN - SCOPUS:33947099206

SN - 0305-4608

VL - 6

SP - 2333

EP - 2339

JO - Journal of Physics F: Metal Physics

JF - Journal of Physics F: Metal Physics

IS - 12

M1 - 019

ER -