We construct a continuum model for the moiré superlattice of twisted bilayer ${\mathrm{MnBi}}_2{\mathrm{Te}}_4$, and study the band structure of the bilayer in both ferromagnetic (FM) and antiferromagnetic (AFM) phases. We find the system exhibits highly tunable Chern bands with Chern number up to 3. We show that a twist angle of 1° turns the highest valence band into a flat band with Chern number $\pm 1$ that is isolated from all other bands in both FM and AFM phases. This result provides a promising platform for realizing time-reversal breaking correlated topological phases, such as fractional Chern insulator and $p+ip$ topological superconductor. In addition, our calculation indicates that the twisted stacking facilitates the emergence of quantum anomalous Hall effect in ${\mathrm{MnBi}}_2{\mathrm{Te}}_4$.

中文翻译：

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扭曲双分子层的平Chern带MnBi2Te4

我们为扭曲双层的莫尔超晶格构造一个连续体模型 ${\mathrm{锰铋}}_2{特}_4$，并研究铁磁（FM）和反铁磁（AFM）相中双层的能带结构。我们发现系统展示了高度可调的Chern波段，其Chern数高达3。我们显示了1°的扭曲角将最高价带变成了具有Chern数的平坦带$\pm \mathrm{1个}$在FM和AFM阶段均与所有其他频段隔离。该结果提供了一个有前途的平台，用于实现时间逆转断裂相关的拓扑相，例如分数切恩绝缘子和$p+\mathrm{一世}p$拓扑超导体。另外，我们的计算表明，扭曲堆叠有利于量子异常霍尔效应的出现。${\mathrm{锰铋}}_2{特}_4$。