论文标题
拓扑结态及其在手性 - 对称系统中的结晶网络：应用石墨烯纳米骨
Topological junction states and their crystalline network in chiral-symmetric systems: application to graphene nanoribbons
论文作者
论文摘要
我们基于$ z $分类的一般理论框架，以计算手性与对称一维系统的交界处的拓扑结合状态数。该公式适用于由任意数量的通道和任意关节结构组成的一般多路连接。通过使用该公式，我们计算了半导体石墨烯纳米容器的各种类型的双向和三向连接处的零能量结合状态。然后，我们考虑石墨烯纳米纤维的周期性二维网络，并表明拓扑连接状态在整体能量隙内形成孤立的能带，可以将其视为有效原子的二维晶体。根据单个交界处的$ z $数量，我们有一组不同的有效原子轨道，导致各种类型的纳米级变速器，通常伴随着平坦的频带。该系统将为量子模拟器提供理想的平台，以模仿各种晶格上的强烈相互交互的费米昂系统。
We develop a general theoretical framework based on $Z$-classification to count the number of topological bound states at a junction of chiral-symmetric one-dimensional systems. The formulation applies to general multiway junctions composed of an arbitrary number of channels and an arbitrary joint structure. By using the formula, we calculate the zero-energy bound states in various types of two-way and three-way junctions of semiconducting graphene nanoribbons. We then consider periodic two-dimensional networks of graphene nanoribbons, and show that the topological junction states form isolated energy bands inside the bulk energy gap, which can be viewed as a two-dimensional crystal of the effective atoms. Depending on the $Z$ number of a single junction, we have a different set of effective atomic orbitals, resulting in various types of nanoscale metamaterials, which are often accompanied by flat bands. The system would provide an ideal platform for quantum simulator to emulate a strongly-interacting fermion system on various types of lattices.
