  The two-dimensional quantum anomalous Hall (QAH) effect is direct evidence of
non-trivial Berry curvature topology in condensed matter physics. Searching for
QAH in 2D materials, particularly with simplified fabrication methods, poses a
significant challenge in future applications. Despite numerous theoretical
works proposed for the QAH effect with $C=2$ in graphene, neglecting magnetism
sources such as proper substrate effects remain experimental evidence absent.
In this work, we propose the QAH effect in graphene/$\rm MnBi_{2}Te_{4}$ (MBT)
heterostructure based on density-functional theory (DFT). The monolayer MBT
introduces spin-orbital coupling, Zeeman exchange field, and Kekul$\rm
\acute{e}$ distortion as a substrate effect into graphene, resulting in QAH
with $C=1$ in the heterostructure. Our effective Hamiltonian further presents a
rich phase diagram that has not been studied previously. Our work provides a
new and practical way to explore the QAH effect in monolayer graphene and the
magnetic topological phases by the flexibility of MBT family materials.
