Circuit realization of Möbius insulators
S. Bao, Jie Chang, Jien Wu, Zhixia Xu
Abstract
With the rapid development of topological circuits in recent years, it has been possible to explore the characteristics of various topological insulators as an independent platform. Here, we propose to use the circuit system to realize the M\"obius insulators, whose algebraic structure can be enriched in a projective way. Through the circuit, we can observe the energy distribution of the whole model and the dispersion along the edge. In addition, we discuss the effect of different defects on the edge energy distribution. Our research not only gives people a deeper understanding of the topological physical phenomena caused by projective symmetry but also brings the application of circuits in the field of topological insulator research to a higher level.