Description
The quantum anomalous Hall (QAH) effect has attracted significant attention due to its potential for low-dissipation devices and its connection to various quantum phenomena. However, experimentally realizing the QAH effect with high Chern numbers remains a significant challenge. In this study, based on a four-d-orbital tight-binding (TB) model in a buckled honeycomb lattice, we obtain rich QAH effects with the Chern numbers tuned between low values (±1) (LC) and high values (±3) (HC) by varying the difference of the on-site energies between dxy (dx2-y2) and dxz (dyz) or adjusting the magnetic orientation to retain specific symmetries.