TY - JOUR
T1 - A calculation of the electrical conductivity of thin films of potassium and sodium
AU - Heiman, A.
AU - Halpern, V.
PY - 1974
Y1 - 1974
N2 - Calculations have been carried out on the electrical conductivity of both perfect and imperfect films of potassium at temperatures between 200K and 20K and of perfect films of sodium at temperatures between 200K and 50K, for two values of the specularity parameter p=0 and p=0.5. In all cases, the Boltzmann equation was solved numerically with a realistic electron-phonon interaction being used in the scattering term. It was found that, for all the above films, for a given value of p, the ratio of the mean resistivity of the film to that of the bulk crystal depends almost exclusively on a single parameter, kappa , the ratio of the film thickness to the effective electron mean free path. While the results of the Fuchs-Sondheimer theory agree with theirs for large values of kappa , the authors find that for smaller values of kappa the conductivity of the films is appreciably less than predicted by this theory. An explanation of this breakdown of the Fuchs-Sondheimer theory is proposed.
AB - Calculations have been carried out on the electrical conductivity of both perfect and imperfect films of potassium at temperatures between 200K and 20K and of perfect films of sodium at temperatures between 200K and 50K, for two values of the specularity parameter p=0 and p=0.5. In all cases, the Boltzmann equation was solved numerically with a realistic electron-phonon interaction being used in the scattering term. It was found that, for all the above films, for a given value of p, the ratio of the mean resistivity of the film to that of the bulk crystal depends almost exclusively on a single parameter, kappa , the ratio of the film thickness to the effective electron mean free path. While the results of the Fuchs-Sondheimer theory agree with theirs for large values of kappa , the authors find that for smaller values of kappa the conductivity of the films is appreciably less than predicted by this theory. An explanation of this breakdown of the Fuchs-Sondheimer theory is proposed.
UR - http://www.scopus.com/inward/record.url?scp=0015967166&partnerID=8YFLogxK
U2 - 10.1088/0305-4608/4/1/012
DO - 10.1088/0305-4608/4/1/012
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AN - SCOPUS:0015967166
SN - 0305-4608
VL - 4
SP - 107
EP - 119
JO - Journal of Physics F: Metal Physics
JF - Journal of Physics F: Metal Physics
IS - 1
M1 - 012
ER -