Proximity spin interactions are central to 2D spintronics. Indeed, vdW heterostructures allow to engineer and manipulate SOC and exchange coupling, which is a long sought goal of spintronics, impossible to achieve with conventional bulk materials or even with semiconductor heterostructures such as quantum wells and quantum dots. Gating and doping, strain and pressure, twisting, and stacking, all allow to tailor the spin phenomena in a desired material structure. Motivated by the impressive recent experimental progress in exploring proximity spin interactions in van der Waals heterostructures by spin transport, charge-spin conversion, mesoscopic transport, and effects on strongly correlated phases in twisted and untwisted graphene multilayers, we propose to perform systematic and comprehensive first-principles calculations and phenomenological modeling of proximity spin interactions in large-scale supercells comprising graphene, transition-metal dichalcogenides and magnetic monolayers, as well as mixed-lattice structures comprising hexagonal and rectangular lattices, and effects of the proximity exchange in magnetization dynamics in van der Waal heterostructures.
