论文标题
扭曲的双层石墨烯中的Moiré边缘状态及其与量子抽水的拓扑关系
Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
论文作者
论文摘要
我们研究扭曲的双层石墨烯的边缘状态及其拓扑起源。我们表明，扭曲的双层石墨烯具有与Moiré模式相关的特殊边缘状态，并且这些Moiré边缘状态的出现与滑动Chern号相关，该滑动式Chern数字描述了由相对层间滑动引起的拓扑充值泵。当一层扭曲的双层相对于另一层相对滑动时，边缘状态在整个带隙中从单个频段转移到另一个频段，并且在滑动周期中泵送的边缘状态的数量显示出等于带隙的滑动Chern数量。该关系可以看作是MoiréBiLayer系统固有的批量对应关系的表现。
We study the edge states of twisted bilayer graphene and their topological origin. We show that the twisted bilayer graphene has special edge states associated with the moiré pattern, and the emergence of these moiré edge states is linked with the sliding Chern number, which describes topological charge pumping caused by relative interlayer sliding. When one layer of the twisted bilayer is relatively slid with respect to the other layer, the edge states are transferred from a single band to another across the band gap, and the number of the edge states pumped in a sliding cycle is shown to be equal to the sliding Chern number of the band gap. The relationship can be viewed as a manifestation of the bulk-edge correspondence inherent in moiré bilayer systems.
