Application of a perpendicular magnetic field to charge neutral graphene is
expected to result in a variety of broken symmetry phases, including
antiferromagnetic, canted and ferromagnetic. All these phases open a gap in
bulk but have very different edge states and non-collinear spin order, recently
confirmed experimentally. Here we provide an integrated description of both
edge and bulk for the various magnetic phases of graphene Hall bars making use
of a non-collinear mean field Hubbard model. Our calculations show that, at the
edges, the three types of magnetic order are either enhanced (zigzag) or
suppressed (armchair). Interestingly, we find that preformed local moments in
zigzag edges interact with the quantum Spin Hall like edge states of the
ferromagnetic phase and can induce back-scattering.Comment: 5 pages, 4 figure
