Supplemental Material: A spin-polarizing electron beam splitter from crossed graphene nanoribbons

We included a supplemental pdf file which contains further information of the details of our calculations, our implemented mean-field Hubbard model with non-equilibrium Green's functions, and extra calculations such as the effect of the Coulomb repulsion parameter on monolayer and bilayer zigzag graphene nanoribbons, other possible (but higher in energy) spin configurations and their transport properties, etc.