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DFT calculations were performed using VASP (26) with the projector augmented-wave method in the generalized gradient approximation. Van der Waals forces were taken into account using the DFT-D2 method. The calculated system is a slab of six Si-C layers (ABCACB stacking), zero-layer graphene (buffer layer), and graphene layers on top (one for MLG, two for BLG, and three for TLG) (see Fig. 2D). The vacuum region between the slabs was about 27 Å. The back side was hydrogen passivated.

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