Abstract

We report the observation of a quantum anomalous Hall effect in twisted bilayer graphene showing Hall resistance quantized to within .1\% of the von Klitzing constant h/e2h/e^2 at zero magnetic field.The effect is driven by intrinsic strong correlations, which polarize the electron system into a single spin and valley resolved moiré miniband with Chern number C=1C=1. In contrast to extrinsic, magnetically doped systems, the measured transport energy gap Δ/kB≈27Δ/k_B\approx 27~K is larger than the Curie temperature for magnetic ordering TC≈9T_C\approx 9~K, and Hall quantization persists to temperatures of several Kelvin. Remarkably, we find that electrical currents as small as 1~nA can be used to controllably switch the magnetic order between states of opposite polarization, forming an electrically rewritable magnetic memory.

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