Theory of Localized Plasmons for Metal Nanostructures in Random-Phase Approximation

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概要

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• An effective Coulomb potential for metal nanostructures is calculated for the high frequency condition using a random-phase approximation where the many-body Coulomb interaction between conduction electrons is considered. The non-local dielectric function is derived for the effective potential --- the poles of the potential give the localized surface and bulk plasmon excitation energies. The excitation energies can be analytically calculated for a metal nano-sphere and a nano-shell when the electron density is assumed to have a step function shape at surfaces. The energies agree with those calculated using semi-classical methods. Terms for coupling between the localized surface and bulk plasmons appear in the effective potential. The local dielectric function is, however, derived for the electric field, which has the well-known formula: 1 - \omega_{\text{p}}^{2}(\mathbf{r})/\omega^{2}, where \omega_{\text{p}}(\mathbf{r}) is the position dependent bulk plasmon frequency.

• 2011-04-15

著者

• Ichikawa Masakazu

  Department of Advanced Materials Science, Graduate School of Frontier Sciences, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan

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