论文标题
霍夫史塔特蝴蝶和浮雕拓扑绝缘子，微型扭曲的双层石墨烯
Hofstadter butterfly and Floquet topological insulators in minimally twisted bilayer graphene
论文作者
论文摘要
我们从理论上研究了微型双层石墨烯（MTBLG）中三角网络模型的霍夫史塔特蝴蝶。频带结构表现出能量周期性，模仿了浮点系统。蝴蝶图提供了模型参数的指纹，并揭示了隐藏的带拓扑。在一个强的磁场中，我们确定MTBLG实现了含有零Chern数的低能浮雕拓扑拓扑器（FTI），而在宽大间隙中托管手性边缘状态。我们通过分析Hofstadter蝴蝶中的非平凡光谱流以及明确计算手性边缘状态来识别FTI。我们的理论为在平衡固态系统中有效实现FTI的实际实现铺平了道路。
We theoretically study the Hofstadter butterfly of a triangular network model in minimally twisted bilayer graphene (mTBLG). The band structure manifests periodicity in energy, mimicking that of Floquet systems. The butterfly diagrams provide fingerprints of the model parameters and reveal the hidden band topology. In a strong magnetic field, we establish that mTBLG realizes low-energy Floquet topological insulators (FTIs) carrying zero Chern number, while hosting chiral edge states in bulk gaps. We identify the FTIs by analyzing the nontrivial spectral flow in the Hofstadter butterfly, and by explicitly computing the chiral edge states. Our theory paves the way for an effective practical realization of FTIs in equilibrium solid state systems.
