(a), (c) The calculated band structures of the vdW heterostructure in Fig. 9 without (a) and with (c) the consideration of SOC, respectively. The red and blue curves denote the spin-up and spin-down bands, respectively. (b), (d) Zoom in on the black dashed circles in panels (a) and (c), respectively. (e)–(h) The same as panels (a)–(d) except that the distance (vdW gap) between graphene and the Cr₂Ge₂Te₆ sheet is reduced by 0.3 Å (d = 3.26 Å). Reprinted with permission from Ref. [18]. Copyright 2015 by the American Physical Society.