Topological Quantum States in Magnetic Oxides

The realization of topological quantum states in devices is an important subject. According to whether or not the time-reversal symmetry is broken, topological materials can be classified into magnetic and nonmagnetic ones. In particular, magnetic topological materials are of importance, in which the coexistence of nontrivial band topology and magnetic orders gives exotic spintronics-related applications. However, experimental observations of magnetic topological quantum states are extremely difficult. In this Perspective, we review the recent progress to explore and design magnetic topological oxides such as topological semimetals and three-dimensional quantum anomalous Hall insulators, which are robustly stable against oxidation at ambient conditions. Most of these materials possess high Curie temperatures and are widely used in industrial applications, stimulating considerable experimental interest. Moreover, further discussions related to the topological classification and topological transitions are also present.