Research progress of topological interface device design theory

With the development of the topological theory, it is believed that topological states originate from topologically protected interfaces in condensed matter systems. Significantly, by adjusting the topological interfaces, one can manipulate the transport properties of a sample, thereby possessing distinct features. This paper briefly reviews recent progresses about topological interfaces and their potential applications in quantum devices. In the first part, we expound the fundamental ideas about topological interfaces in disordered Chern insulators. Based on their transport properties, the designs of programmable circuits and logical gates are also clarified. These designs significantly improve the utilization of sample compared with topological surface devices. The second part focuses on the topological interfaces in three-dimensional systems, which exhibits the layertronics of the interfaces. We present axion insulator MnBi<sub>2</sub>Te<sub>4</sub> as a typical example, and the realization of the basic layertronics devices is proposed. Finally, this work summarizes the advantages of topological interface devices and proposes some potential breakthroughs to be achieved in this field.