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Localized plasmons in graphene-coated nanospheres

机译：石墨烯包覆的纳米球中的局部等离激元

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摘要

We present an analytical derivation of the electromagnetic response of a spherical object coated by a conductive film, here exemplified by a graphene coating. Applying the framework of Mie-Lorenz theory augmented to account for a conductive boundary condition, we derive the multipole scattering coefficients, modified essentially through the inclusion of an additive correction in numerator and denominator. By reductionist means, starting from the retarded response, we offer simple results in the quasistatic regime by analyzing the multipolar polarizability and associated dispersion equation for the localized plasmons. We consider graphene coatings of both dielectric and conducting spheres, where the graphene coating in the former case introduces the plasmons and in the latter case modifies in interesting ways the existing ones. Finally, we discuss our analytical results in the context of extinction cross section and local density of states. Recent demonstrations of fabricated spherical graphene nanostructures make our study directly relevant to experiments.
机译：我们提出了由导电膜（这里以石墨烯涂层为例）覆盖的球形物体的电磁响应的分析推导。应用扩展的Mie-Lorenz理论框架以解决导电边界条件，我们得出了多极散射系数，该系数基本上是通过在分子和分母中加入加法校正来修改的。通过还原论者的方法，从延迟响应开始，我们通过分析局部等离子体激元的多极极化率和相关的色散方程，在准静态状态下提供了简单的结果。我们考虑介电球和导电球的石墨烯涂层，其中前者的石墨烯涂层引入了等离激元，而后者的石墨烯涂层以有趣的方式修饰了现有的等离子体。最后，我们在消光截面和状态局部密度的背景下讨论了我们的分析结果。球形球形石墨烯纳米结构的最新演示使我们的研究与实验直接相关。

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