Flat Chern Band From Twisted Bilayer MnBi${}_2$Te${}_4$

Abstract

We construct a continuum model for the Moiré superlattice of twisted bilayer MnBi${}_2$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 $1^{\circ }$ 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 MnBi${}_2$Te${}_4$.

arXiv comment7+7 pages, 3+2 figures, typos corrected

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