  The influence of the surface structure and vibration mode on the resistivity
of Cu films and the corresponding size effect are investigated. The temperature
dependent conductivities of the films with different surface morphologies are
calculated by the algorithm based upon the tight-binding linear muffin-tin
orbital method and the Green's function technique. The thermal effect is
introduced by setting the atomic displacements according to the Gaussian
distribution with the mean-square amplitude estimated by the Debye model. The
result shows that the surface atomic vibration contributes significantly to the
resistivity of the systems. Comparing the conductivities for three different
vibration modes, it is suggested that freezing the surface vibration is
necessary for practical applications to reduce the resistivity induced by the
surface electron-phonon scattering.
