论文标题
双单层石墨烯中的拓扑状态
Topological states in double monolayer graphene
论文作者
论文摘要
由双单层石墨烯进行的实验动机,该实验观察到各种分数量子霍尔状态[Liu等,Nat。物理。 15,893(2019); Li等人,Nat。物理。 15,898(2019)],我们研究了两个单层区域不同的特殊环境。它以前尚未考虑过,允许我们构建一类外来拓扑状态。这些州的基本激发不带有分数指控,而是遵守分数统计。这与所有先前研究的案例形成了鲜明的对比,在该案例中,这两种属性密切相关并充当分数量子厅状态的标志。进行数值计算以证明某些状态可以使用逼真的参数实现。
Motivated by the experiments on double monolayer graphene that observe a variety of fractional quantum Hall states [Liu et al., Nat. Phys. 15, 893 (2019); Li et al., Nat. Phys. 15, 898 (2019)], we study the special setting in which two monolayers have different areas. It has not been considered before and allows us to construct a class of exotic topological states. The elementary excitations of these states do not carry fractional charges but obey fractional statistics. This is in sharp contrast to all previously studied cases, where the two properties are intimately connected and serve as hallmarks of fractional quantum Hall states. Numerical calculations are performed to demonstrate that some states can be realized with realistic parameters.