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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >From graphene to fullerene: experiments with microwave photonic crystals
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From graphene to fullerene: experiments with microwave photonic crystals

机译：从石墨烯到富勒烯：微波光子晶体的实验

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摘要

Ultracold quantum gases serve as ideal models for the characterization of universal properties of a variety of phenomena in quantum systems. In a formal analogy to such 'quantum simulators' we demonstrate in this brief review that photonic crystals embedded into flat microwave billiards can also serve as ideal model systems for the experimental study of non-relativistic and relativistic phenomena in flat and curved structures like Graphene and Fullerene, respectively. We determined in high precision experiments with superconducting microwave billiards modeling Graphene billiards (flakes) a few thousands of eigenvalues and thereby were able to study thoroughly fluctuation properties in their spectra. Using a microwave cavity modeling a Fullerene billiard with the geometrical structure of a C-60 molecule it became possible to determine in high resolution experiments for the first time the number of zero-energy modes, i.e. of modes with energy values at the Dirac point existing due to the honeycomb structure in the carbon lattice. We were thereby able to test the so-called Atiyah-Singer index theorem which relates this number to the topology of the curved carbon lattice.
机译：UltraCold量子气体作为Quantum系统中各种现象的普遍性质表征的理想模型。在正式的比喻中，我们在这篇简短的情况下证明了嵌入到平坦微波台球的光子晶体也可以作为扁平和弯曲结构中的非相对论和相对论现象的实验研究的理想模型系统。富勒烯分别。我们在高精度实验中确定了超导微波台球建模石墨烯台球（薄片）几英吉值，从而能够在其光谱中研究彻底的波动性能。使用微波腔模型，使用C-60分子的几何结构建模富勒烯台球，它变得可以在高分辨率实验中确定零能量模式的数量，即在现有的DIRAC点处具有能量值的模式由于碳晶格中的蜂窝结构。从而能够测试所谓的ATIYAH-SINGER指标定理，该定理将该号码与弯曲碳晶格的拓扑相关。

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