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A van der Waals heterostructure combined with intrinsic magnetism andtopological orders have recently paved attractive avenues to realize quantumanomalous Hall effects. In this work, using first-principles calculations andeffective model analysis, we propose that the robust quantum anomalous Hallstates with sizable band gaps emerge in the van der Waals heterostructure ofgermanene/Cr$_2$Ge$_2$Te$_6$. This heterostructure possesses high thermodynamicstability, thus facilitating its experimental fabrication. Furthermore, weuncover that the proximity effect enhances the coupling between the germaneneand Cr$_2$Ge$_2$Te$_6$ layers, inducing the nontrivial band gaps in a widerange from 29 meV to 72 meV. The chiral edge states inside the band gap,leading to Hall conductance quantized to $-e^2/h$, are clearly visible. Thisfindings provide an ideal candidate to detect the quantum anomalous Hall statesand realize further applications to nontrivial quantum transport at a hightemperature.

Intrinsic quantum anomalous Hall phase induced by proximity in germanene/Cr$_2$Ge$_2$Te$_6$ van der Waals heterostructure