Plasmon confinement in fractal quantum systems
Abstract
Recent progress in the fabrication of materials has made it possible to create arbitrary non-periodic two-dimensional structures in the quantum plasmon regime. This paves the way for exploring the plasmonic properties of electron gases in complex geometries such as fractals. In this work, we study the plasmonic properties of Sierpinski carpets and gaskets, two prototypical fractals with different ramification, by fully calculating their dielectric functions. We show that the Sierpinski carpet has a dispersion comparable to a square lattice, but the Sierpinski gasket features highly localized plasmon modes with a flat dispersion. This strong plasmon confinement in finitely ramified fractals can provide a novel setting for manipulating light at the quantum scale.
Keywords
Cite
@article{arxiv.1801.06439,
title = {Plasmon confinement in fractal quantum systems},
author = {Tom Westerhout and Edo van Veen and Mikhail I. Katsnelson and Shengjun Yuan},
journal= {arXiv preprint arXiv:1801.06439},
year = {2018}
}
Comments
5 pages, 4 figures, comments are welcome