supported by the National Basic Research Program of China(Grant No.2017YFA0303301);the National Natural Science Foundation of China(Grant Nos.12022407,and 11974256);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB28000000)。
The nontrivial band topology of Chern insulator can enrich the content of its Hofstadter butterfly spectra,which is closely related to recent experiments in twisted bilayer graphene and cold atom systems.We investigat...