Question

Your answer for bulk copper’s room temperature τ above represents scattering from ONLY phonons. Recall that adding other scattering mechanisms reduces this scattering time according to Mattheisen’s rule, such that for example
τtot = τ^-1_phonon + τ^-1_surface ,
assuming a sample small enough that surface scattering becomes important. Make an estimate for this total scattering time, and the resulting electrical conductivity, for a 10 nm thick layer of copper. You may assume the scattering time for surface scattering is given by a simple relation of the thickness and the Fermi velocity for copper.

Answer 1

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