▎ 摘　　要

Two-dimensional (2D) heterostructures constructed by different 2D materials offer new opportunities for novel nano-devices. Twist angle (theta) between two individual layers in 2D van der Waals (vdW) heterostructures shows great importance in modulating their electronic properties. Here, we performed first-principles calculations to study the thermodynamic stability and electronic properties of graphene/MoS2 (Gr/MoS2) vdW heterostructures. We have built dozens of possible Gr/MoS2 vdW heterostructures under the limitation of the maximum mismatch (delta = 20 angstrom). We found the cohesive energy (E-coh) is dependent on the interlayer distance and theta. In addition, a huge difference can be found in both the band offset and interlayer carrier's lifetime of Gr/MoS2 with different theta. These results provide valuable insights into the identification of these twist structures in experiments and the designation of Gr/MoS2 related optoelectronic devices.