Duality of the collective and single particle responses in simple metals in the extreme long wavelength limit

K. Kempa

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arXiv · 1405.5772

Duality of the collective and single particle responses in simple metals in the extreme long wavelength limit

K. Kempa

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Abstract

It is demonstrated that the collective and single particle responses of simple metals in the extreme long wavelength limit become identical. When applied to alternative models of a metallic slab, this duality proves equivalence of the plasma frequency and the surface energy barrier, which confines electrons inside the metal. This in-turn proves also a simple, yet powerful formula, which expresses the work function of a metals as a difference between its free-electron plasmon and Fermi energies, and which has been shown to be more accurate (even for complex metals) than the best available simulations.

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K. Kempa. 2014-05-22. Duality of the collective and single particle responses in simple metals in the extreme long wavelength limit. https://arxiv.org/abs/1405.5772

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