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van der Waals heterostructures assembled from atomically thin crystals areideal model systems to study spin-orbital coupled transport because theyexhibit a strong interplay between spin, lattice and valley degrees of freedomthat can be manipulated by strain, electric bias and proximity effects. Therecently predicted spin-helical regime in graphene on transition metaldichalcogenides, in which spin and pseudospin degrees of freedom are lockedtogether [M. Offidani et al. Phys. Rev. Lett. 119, 196801 (2017)], suggeststheir potential application in spintronics. Here, by deriving an Eilenbergerequation for the quasiclassical Green's function of two-dimensional Diracfermions in the presence of} spin-orbit coupling\textcolor{black}{{} (SOC) andscalar disorder, we obtain analytical expressions for the dc spin galvanicsusceptibility and spin Hall conductivity in the spin-helical regime. Ourresults disclose a sign change in the spin Hall angle (SHA) when the Fermienergy relative to the Dirac point matches the Bychkov-Rashba energy scale,irrespective of the magnitude of the spin-valley interaction imprinted on thegraphene layer. The behavior of the SHA is connected to a reversal of the totalinternal angular momentum of Bloch electrons that reflects the spin-pseudospinentanglement induced by SOC. We also show that the charge-spin conversionreaches a maximum when the Fermi level lies at the edge of the spin-minorityband in agreement with previous findings. Both features are fingerprints ofspin-helical Dirac fermions and suggest a direct way to estimate the strengthof proximity-induced SOC from transport data. The relevance of these findingsfor interpreting recent spin-charge conversion measurements in nonlocalspin-valve geometry is also discussed.

Spin Hall and inverse spin galvanic effects in graphene with strong interfacial spin-orbit coupling: a quasi-classical Green's function approach