Abstract
The spatial distribution of the electrical potential and carrier concentration in nanodots and nanowires in an external dc or ac electric field was analyzed by jointly solving the continuity and Laplace equations. The results were used to calculate the free-carrier optical absorption and polarizability of conducting nanostructures for different nanostructure radii a, doping levels n0, and ac field frequencies ω. Both characteristics contain a plasmon peak, which, compared with the screening length in the nanostructure material rs, exhibits a strong blueshift with decrease in a, consistent with experimental observations. At a>>rs, the peak position approaches the well-known size-independent value predicted by the electrodynamic Mie theory.
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