论文标题
石墨烯状系统中边缘状态的理论
Theory of edge states in graphene-like systems
论文作者
论文摘要
可以用相同的数学模型来描述的系统，这些模型解释了石墨烯中电子的性质，称为石墨烯样系统。其中包括蜂窝状或人造的蜂窝晶格中的镁，光子，偏振子，声波和电子。所有这些都具有出色的财产，即在边缘本地存在的国家的存在。我们根据二维能带中是否存在拓扑带隙来区分两类的边缘状态。我们以紧密结合模型的形式介绍了边缘状态的理论，并讨论了它们的特性，重点是它们的单向特征与批量阶段的拓扑性质之间的相互作用。
Systems that can be described with the same mathematical models that account for the properties of electrons in graphene are known as graphene-like systems. These include magnons, photons, polaritons, acoustic waves, and electrons in honeycomb lattices, either natural or artificial. All of them feature an outstanding property, the existence of states localized at the edges. We distinguish two classes of edge states depending on whether or not a topological band gap is present in the two-dimensional energy bands. We introduce the theory of edge states in terms of tight-binding models and discuss their properties, with an emphasis on the interplay between their one-way character and the topological nature of the bulk phase.
