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 von Klitzing constant (
In this respect the QAHE is similar to the quantum Hall effect.
The integer here is equal to the Chern number which arises out of topological properties of the material band structure.
[1] The effect was observed experimentally for the first time in 2013 by a team led by Xue Qikun at Tsinghua University.