自组装富勒烯中各向异性等离子体激元激发的模拟
Modeling Anisotropic Plasmon Excitations in Self-Assembled Fullerenes
摘要：
库仑耦合球形二维电子气（S2 DEG）中的等离子体激元激发揭示了一个有趣的现象，即角动量量子数L与球心相对于量子化轴的位移矢量之间的关系.具体而言，等离子体激元模式的三个S2DEG束内已获得的随机相位近似（RPA）。详细研究了球间库仑相互作用矩阵元及其对称性。丛的情况给出了库仑相互作用依赖于轨道角动量量子数L及其投影M的方式的充分图像。我们的结论是，与量子化轴成45 °角排列的S2DEG之间的相互作用与沿着和垂直于量子化轴的相互作用相比是可以忽略的，它们本身彼此不相等。因此，等离子体激元激发频率揭示了一个有趣的取向各向异性耦合到外部电磁场探测的电荷密度振荡。我们的空间相关性的结果可以通过实验观察。在这方面，已经有一些实验报告指出了纳米颗粒的类似效应
英文摘要：
The plasmon excitations in Coulomb-coupled spherical two-dimensional electron gases (S2DEGs) reveal an interesting dependence on the displacement vector between the centers of the spheres with respect to the axis of quantization for the angular momentum quantum number L. Specifically, plasmon modes for a bundle of three S2DEGs have been obtained within the random-phase approximation (RPA). The inter-sphere Coulomb interaction matrix elements and their symmetry properties were also investigated in detail. The case of a bundle gives an adequate picture of the way in which the Coulomb interaction depends on the orbital angular momentum quantum number L and its projection M. We concluded that the interaction between the S2DEGs aligned at an angle of 45o with the axis of quantization is negligible compared to the interaction along and perpendicular to the quantization axis, which are themselves unequal to each other. Consequently, the plasmon excitation frequencies reveal an interesting orientational anisotropic coupling to an external electromagnetic field probing the charge density oscillations. Our result on the spatial correlation may be experimentally observable. In this connection, there have already been some experimental reports pointing to a similar effect in nanoparticles
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