From topological phase to transverse Anderson localization in a two-dimensional quasiperiodic system
Shujie Cheng, Reza Asgari, Gao Xianlong
Abstract
In this paper, we provide theoretical approaches to identify the influence of the quasidisorder on a two-dimensional system. We discover that in the system there is a topological phase transition accompanied by a transverse Anderson localization. The topological features are characterized by the band gap, the edge-state spectra, the transport conductance, and the Chern number. The localization transition is clearly demonstrated by the investigations of the partial inverse participation ratio, the average of level spacing ratio, and the fraction dimension. The results reveal the topological nature of the bulk delocalized states. Our work facilitates the understanding of the synchronicity between the topological phase transition and the transverse Anderson localization in two-dimensional disordered systems.