Quantum Anomalous Hall Effect in Magnetic Topological Insulator

The quantum anomalous Hall effect (QAHE) is one of the hallmark phenomena associated with topological properties of the electronic band structure. When an electric current flows in a ferromagnetic topological insulator, the Hall resistance orthogonal to both current and magnetization is quantized to the von Klitzing constant $$h/e^2$$ , where h is the Planck’s constant and e is the elementary charge. The QAHE shares many phenomenological features with the quantum Hall effect in two-dimensional electron systems under strong magnetic fields despite the different microscopic origins of the phenomena. In this chapter, we review the basic concept and emerging properties of the QAHE. In particular, we discuss the transport properties in the engineered magnetic heterostructure films of topological insulators which have provided a unique platform to study emergent topological phenomena.