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It has been shown recently [J. L. Lado et al., Phys. Rev. Lett. 113, 027203(2014)] that edge magnetic moments in graphene-like nanoribbons are stronglyinfluenced by the intrinsic spin-orbit interaction. Due to this interaction ananisotropy comes about which makes the in-plane arrangement of magnetic momentsenergetically more favorable than that corresponding to the out-of-planeconfiguration. In this paper we raise both the edge magnetism problem as wellas differential conductance and shot noise Fano factor issues, in the contextof finite-size flakes within the Coulomb blockade (CB) transport regime. Ourfindings elucidate the following problems: (i) modification of the CB diamondsby the appearance of the in-plane magnetic moments, (ii) modification of the CBdiamonds by intrinsic spin-orbit interaction.

Transport through graphene-like flakes with intrinsic spin orbit interactions