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The spin-dependent transport properties of armchair graphene nanoribbons inthe presence of extrinsic spin-orbit coupling induced by a random distributionof Nickel adatoms is studied. By combining a recursive Green's functionformalism with density functional theory, we explore the influence of ribbonlength and metal adatom concentration on the conductance. At a given length, weobserved a significant enhancement of the spin-flip channel around resonancesand at energies right above the Fermi level. We also estimate thespin-relaxation length, finding values on the order of tens of micrometers atlow Ni adatom concentrations. This study is conducted at singular ribbonlengths entirely from fully ab-initio methods, providing indirectly evidencethat the Dyakonov-Perel spin relaxation mechanism might be the dominant at lowconcentrations as well as the observation of oscillations in thespin-polarization.

Ab initio modelling of spin relaxation lengths in disordered graphene nanoribbons{\dag}