“…From our first-principles calculations we obtain the low energy Dirac band structure of the proximitized graphene and extract realistic parameters for an effective Hamiltonian describing the low-energy bands. The goal is to find an effective description for the low-energy physics, which is relevant for studying transport [23,24,26,45,94], topology [52,95], spin relaxation [38,43,96,97], or emergent long-range or-der [98]. Due to the short-range nature of the proximity effects in van der Waals heterostructures, the effective models are transferable [99][100][101].…”