Abstract
Graphene, a very intriguing two-dimensional Dirac electronic system with high carrier mobility, is promising for spintronics. However, the long-range ferromagnetic order is always absent in pristine graphene. Here we report the fabrication and transport properties of graphene-$\mathrm{BiFe}{\mathrm{O}}_{3}$ heterostructures. It is found that the magnetic proximity effect results in a strong Zeeman splitting in graphene with the exchange field up to hundreds of tesla. The $\ensuremath{\nu}=0$ quantum Hall state of graphene is further transformed into a ferromagnetic state or a canted antiferromagnetic state in the presence of a perpendicular magnetic field. Our findings in graphene/$\mathrm{BiFe}{\mathrm{O}}_{3}$ heterostructure are therefore promising for future spintronics.
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