Brief discussion on quantum anomaly Hall effect: From theory to application

Abstract

The investigation of topological insulator materials plays a crucial role in the exploration of the quantum anomalous Hall effect. A topological insulator is a distinct type of insulator characterized by its band structure with non-trivial topological features. Topological insulators are characterized by the occurrence of topological phase transitions in the electron energy bands at the Fermi level, which can be attributed to the combined effects of spin-orbit coupling and an external magnetic field. These transitions give rise to the emergence of Hall conductive boundary states, facilitating the manifestation of quantum Hall conductance even in the absence of magnetic fields. The quantum anomalous Hall effect exhibits promising prospects for various applications. For instance, it can serve as a viable means of current transmission in low-power electronic devices, or alternatively, as a medium for constructing qubits in topological quantum computing systems. Furthermore, the utilization of the quantum anomalous Hall effect extends to the development of magnetic sensors with superior performance characteristics and the creation of energy-efficient spintronic devices. This work endeavors to conduct a comprehensive examination and evaluation of the theory and practical implementation of the quantum Anomaly Hall effect by the analysis and review of relevant literature. In addition, it intends to provide potential avenues for future applications in this field.