Surface roughness modulated resistivity in copper thin films
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摘要:
The surfaces of metallic thin films are never flat.The resistivity in thin films is very different from that in bulk because of the unavoidable rough surfaces.In this study,we apply a quantum-mechanical method to study the resistivity in metallic thin films.The resulting resistivity formula for metallic thin films merely involves two parameters:bulk relaxation time and surface roughness.We use the formula to fit a large number of experimental data sets for copper thin films obtained using different growing methods.With an additional tuning parameter for calibrating the film thickness,the quantum formula can provide a universal fitting to most data with a satisfactory precision,regardless of their growing methods or data source.