In 2015, experiments were performed with superconducting microwave photonic crystals emulating artificial graphene [B. Dietz et al., Phys. Rev. B 91, 035411 (2015)]. The associated density of states comprises two Dirac points with adjacent bands including van Hove singularities, thus exhibiting the characteristic features originating from the extraordinary electronic band structure of graphene. They are separated by a narrow region of particularly high resonance density corresponding to a nearly flatband in the band structure, which is reminiscent of that of a honome lattice—a combination of two sublattices: honeycomb and kagome. We demonstrate that, indeed, the density of states, and also the eigenmode properties and the fluctuations in the resonance-frequency spectra are well reproduced by a tight-binding model based on the honome lattice. A good description was achieved by means of the reverse Monte Carlo approach, thereby confirming our interpretation of the microwave photonic crystal as an experimental realization of a honome lattice and providing an answer to longstanding problem, namely the understanding of the origin of the flatband bordered by two Dirac points, generally observed in microwave photonic crystals of different shapes.

中文翻译：

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微波光子晶体作为蜂窝-kagome晶格组合的实验实现

2015年，对模拟人造石墨烯的超导微波光子晶体进行了实验[B. Dietz等。，物理 B版 91035411（2015）]。关联的状态密度包括两个Dirac点，相邻带包含van Hove奇点，因此表现出源自石墨烯非凡电子带结构的特征。它们被共振密度特别高的狭窄区域分隔开，该狭窄区域对应于能带结构中几乎平坦的带，这使人联想到全声晶格-两个亚晶格的组合：蜂窝和kagome。我们证明，实际上，通过基于全素格的紧密绑定模型可以很好地再现状态的密度以及本征模特性和共振频谱的波动。通过反向蒙特卡洛方法获得了很好的描述，