论文标题
微波光子晶体作为组合蜂窝状晶格的实验实现
Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
论文作者
论文摘要
在2015年，通过超导微波光子晶体模拟人造石墨烯B. Dietz，T。Klaus，M。Miski-Ogglu和A. Richter，Phys。进行实验。 Rev. B 91，035411（2015）]。状态的相关密度包括两个狄拉克点，上面有相邻的带，包括范霍夫奇异点，因此表现出源自石墨烯的非凡电子带结构的特征。它们被一个特别高的谐振密度的狭窄区域隔开，该区域对应于频带结构中的几乎平坦带，这让人联想到Honome晶格，这是两个sublattices的组合：Honeycomb和Kagome。我们证明，实际上，状态的密度以及谐振频谱的特征性特性以及基于Honome晶格的紧密结合模型很好地复制了谐振频谱。通过反向蒙特卡洛方法来实现良好的描述，从而证实了我们对微波光子晶体的静止性作为对霍诺姆晶格的实验实现，并为长期存在的问题提供了答案，即对扁平点框架的起源的理解，通常观察到了两个dirac点，通常在不同的光子晶体中观察到。
In 2015 experiments were performed with superconducting microwave photonic crystals emulating artificial graphene B. Dietz, T. Klaus, M. Miski-Oglu, and A. Richter, 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 intepretation 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.
