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Switchable Quantum Anomalous Hall state in a strongly frustrated lattice magnet

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arxiv 1202.3340 v1 pith:OALPPM34 submitted 2012-02-15 cond-mat.str-el

classification cond-mat.str-el
keywords fermionsmagneticanomalousdiracferromagneticflux-phasehallitineracy
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We establish that the interplay of itinerant fermions with localized magnetic moments on a checkerboard lattice leads to magnetic flux-phases. For weak itineracy the flux-phase is coplanar and the electronic dispersion takes the shape of graphene-like Dirac fermions. Stronger itineracy drives the formation of a non-coplanar, chiral flux-phase, in which the Dirac fermions acquire a topological mass that is proportional to a ferromagnetic spin polarization. Consequently the system self-organizes into a ferromagnetic Quantum Anomalous Hall state in which the direction of its dissipationless edge-currents can be switched by an applied magnetic field.

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