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The quantum Hall effect (QHE) is a quantum phenomenon that occurs on a macroscopic length scale as the result of the non-trivial
topological property of a two-dimensional electron system in a strong magnetic field. It has long been expected that QHE can be
realized without an external magnetic field such that the effect can be applied in electric devices that consume little energy. The
zero-magnetic-field QHE can appear in thin films of magnetic topological insulators as the quantized version of the anomalous Hall
effect; i.e., the quantum anomalous Hall effect (QAHE).

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