Transport through graphenelike flakes with intrinsic spin-orbit interactions

It was shown recently [J. L. Lado and J. Fernandez-Rossier, Phys. Rev. Lett. 113, 027203 (2014) (http://dx.doi.org/10.1103/PhysRevLett.113.027203)] that edge magnetic moments in graphene-like nanoribbons are strongly influenced by the intrinsic spin-orbit interaction. Due to this interaction an anisotropy comes about which makes the in-plane arrangement of magnetic moments energetically more favorable than that corresponding to the out-of-plane configuration. In this paper we raise both the edge magnetism problem and the differential conductance and shot noise Fano factor issues, in the context of finite-size flakes within the Coulomb blockade (CB) transport regime. Our findings elucidate the following problems: (i) modification of CB diamonds by the appearance of in-plane magnetic moments and (ii) modification of CB diamonds by the intrinsic spin-orbit interaction.