论文标题
磁性bloch定理和扭曲双层石墨烯中的重新进入扁平带，$2π$ flux
Magnetic Bloch Theorem and Reentrant Flat Bands in Twisted Bilayer Graphene at $2π$ Flux
论文作者
论文摘要
Bloch的定理是拓扑结构理论的核心，该理论本身定义了量子材料研究的时代。但是，Bloch的定理被垂直磁场打破，因此很难在强磁通中研究拓扑系统。 Moiré材料首次使这个问题在实验上相关，其解决方案是这项工作的重点。我们在无限边界条件下以$2π$通量构建了磁翻译组的规格不变的核心，从而使我们能够以磁性Bloch Hamiltonian，非亚伯来语Wilson Loop的Siegel Theta函数给出分析表达式，并提供许多体形的表现。我们使用简单的方格模型和扭曲的双层石墨烯的Bistritzer-Macdonald Hamiltonian说明了形式主义，在库仑相互作用下以$2π$通量获得了$2π$通量。
Bloch's theorem is the centerpiece of topological band theory, which itself has defined an era of quantum materials research. However, Bloch's theorem is broken by a perpendicular magnetic field, making it difficult to study topological systems in strong flux. For the first time, moiré materials have made this problem experimentally relevant, and its solution is the focus of this work. We construct gauge-invariant irreps of the magnetic translation group at $2π$ flux on infinite boundary conditions, allowing us to give analytical expressions in terms of the Siegel theta function for the magnetic Bloch Hamiltonian, non-Abelian Wilson loop, and many-body form factors. We illustrate our formalism using a simple square lattice model and the Bistritzer-MacDonald Hamiltonian of twisted bilayer graphene, obtaining reentrant ground states at $2π$ flux under the Coulomb interaction.
