Abstract
Graphene multilayers with flat moiré minibands can exhibit the quantized anomalous Hall effect due to the combined influence of spontaneous valley polarization and topologically non-trival valley-projected bands. The sign of the Hall effect in these Chern insulators can be reversed either by applying an external magnetic field, or by driving a transport current through the system. We propose a current-driven mechanism whereby reversal occurs along lines in the (current , magnetic-field ) control parameter space with slope , where is the magnetization, is the moiré unit cell area, and is the ratio of the chemical potential difference between valleys along a domain wall to the electrical bias .
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