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arXiv 1301.5152cond-mat.mes-hallphysics.optics
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石墨烯片缺陷对石墨烯等离子体激元的散射

Scattering of Graphene plasmons by defects in the graphene sheet

Juan L. Garcia-Pomar, Alexey Yu. Nikitin, Luis Martin-Moreno

摘要:

对石墨烯表面等离子体激元在石墨烯片中的缺陷散射进行了理论研究。这些缺陷可以是自然的(如畴界、波纹和裂纹等),也可以是由外部栅极引起的。散射被证明是由一个积分方程,来自一个平面波展开的领域,这在一般情况下必须解决的数值,但它提供了有用的分析结果为小缺陷。主要考虑两种情况:石墨烯电导率的平滑变化(由高斯电导率分布表征)和急剧变化(由具有不同电导率的岛表示)。一般来说,反射在很大程度上超过石墨烯片的辐射。然而,在明确定义的导电岛的情况下,有一些岛的大小和频率的反射率为零的值,相应地,平面外的辐射是主要的散射过程。对于光滑缺陷,反射光谱在条件$k_p a \approx \sqrt{2}$下呈现单个最大值,其中$k_p$是GSP波矢,$a$是缺陷的空间宽度。相反,尖锐缺陷的反射光谱呈现周期性振荡,周期为$k_p' a$,其中$k_p'$是缺陷内的GSP波长。最后,考虑裂纹(石墨烯导电性中的间隙)的情况,表明对于大于GSP波长的十分之一的间隙宽度,反射率实际上是一致的。

英文摘要:

A theoretical study is presented on the scattering of graphene surface plasmons by defects in the graphene sheet they propagate in. These defects can be either natural (as domain boundaries, ripples and cracks, among others) or induced by an external gate. The scattering is shown to be governed by an integral equation, derived from a plane wave expansion of the fields, which in general must be solved numerically but it provides useful analytical results for small defects. Two main cases are considered: smooth variations of the graphene conductivity (characterized by a Gaussian conductivity profile) and sharp variations (represented by islands with different conductivity). In general, reflection largely dominates over radiation out of the graphene sheet. However, in the case of sharply defined conductivity islands there are some values of island size and frequency where the reflectance vanishes and, correspondingly, the radiation out of plane is the main scattering process. For smooth defects, the reflectance spectra present a single maximum at the condition $k_p a \approx \sqrt{2}$, where $k_p$ is the GSP wavevector and $a$ the spatial width of the defect. In contrast, the reflectance spectra of sharp defects present periodic oscillations with period $k_p' a$, where $k_p'$ is the GSP wavelength inside the defect. Finally, the case of cracks (gaps in the graphene conductivity) is considered, showing that the reflectance is practically unity for gap widths larger than one tenth of the GSP wavelength.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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