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We propose an interband tunneling picture to explain and predict theinterlayer twist angle dependence of the induced spin-orbit coupling inheterostructures of graphene and monolayer transition metal dichalcogenides(TMDCs). We obtain a compact analytic formula for the induced valley Zeeman andRashba spin-orbit coupling in terms of the TMDC band structure parameters andinterlayer tunneling matrix elements. We parametrize the tunneling matrixelements with few parameters, which in our formalism are independent of thetwist angle between the layers. We estimate the value of the tunnelingparameters from existing DFT calculations at zero twist angle and we use themto predict the induced spin-orbit coupling at non-zero angles. Provided thatthe energy of the Dirac point of graphene is close to the TMDC conduction band,we expect a sharp increase of the induced spin-orbit coupling around a twistangle of 18 degrees.

Induced spin-orbit coupling in twisted graphene-TMDC heterobilayers: twistronics meets spintronics