Nanostructure on Charge Carrier Distributions

As the characteristic dimension of a conducting nanostructure is decreased below the scale of the Debye length of the material, the semi-infinite approximation implicit in 

Typically, at small conducting channel dimensions (e.g., nanowire diameter) and high surface-to-volume ratios, the conductivity would be expected to drop due to the heightened influence of surface scattering on carrier mobility, as is commonly observed at the channel/dielectric interface in field-effect transistors [9j. However, 

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