Abstract
The electric polarizability of small sodium spheres is calculated in a semiclassical approximation based on the spherical jellium model and on the Vlasov equation. Static and dynamic polarizabilities are compared for two kinds of mean field with a smooth and a sharp surface. It is deduced that the position of the centroid of the surface-plasmon resonance is not sensitive to the surface diffuseness of the mean field.
Comparison with analogous quantum calculations suggests that an unrealistic feature of the zero-range exchange-correlation force employed in the local-density approximation might play an important role in increasing the static polarizability and decreasing the frequency of the surface-plasmon resonance.
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Ciancitto, M.C., Dellafiore, A. & Matera, F. Electric polarizability of small metal spheres. Z Phys D - Atoms, Molecules and Clusters 18, 399–402 (1991). https://doi.org/10.1007/BF01426604
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DOI: https://doi.org/10.1007/BF01426604