Quantum anomalous Hall effect is a kind of Hall effect. It is the "quantum" version of the anomalous Hall effect. While the anomalous Hall effect requires a combination of magnetic polarization and spin-orbit coupling to generate a finite Hall voltage even in the absence of an external magnetic field (hence called "anomalous"), the quantum anomalous Hall effect is its quantized version. The Hall conductivity acquires quantized values proportional to integer multiples of the conductance quantum ( {\displaystyle {\frac {e^{2}}{h}}} {\displaystyle {\frac {e^{2}}{h}}}), and is similar to the quantum Hall effect in this regard. The integer here is equal to the Chern number which arises out of topological properties of the material band structure. These effects are observed in systems called quantum anomalous Hall insulators (also called Chern insulators). The effect has been observed experimentally.

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