Author(s):

Authors: J. L. Lado, J. Fernandez-Rossier

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.

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