Topological minibands and interaction driven quantum anomalous Hall state in topological insulator based moiré heterostructures.

Abstract

The presence of topological flat minibands in moiré materials provides an opportunity to explore the interplay between topology and correlation. In this work, we study moiré minibands in topological insulator films with two hybridized surface states under a moiré superlattice potential created by two-dimensional insulating materials. We show the lowest conduction (highest valence) Kramers' pair of minibands can be <math xmlns="http://www.w3.org/1998/Math/MathML"> <msub><mrow><mi>Z</mi></mrow> <mrow><mn>2</mn></mrow> </msub> </math> non-trivial when the minima (maxima) of moiré potential approximately form a hexagonal lattice with six-fold rotation symmetry. Coulomb interaction can drive the non-trivial Kramers' minibands into the quantum anomalous Hall state when they are half-filled, which is further stabilized by applying external gate voltages to break inversion. We propose the monolayer Sb₂ on top of Sb₂Te₃ films as a candidate based on first principles calculations. Our work demonstrates the topological insulator based moiré heterostructure as a potential platform for studying interacting topological phases.