From topological phase to Anderson localization in a two-dimensional quasiperiodic system

TL;DR

This study explores how quasidisorder affects a two-dimensional system, revealing a topological phase transition linked to Anderson localization, and characterizing the transition through various topological and localization metrics.

Contribution

It demonstrates the coexistence of topological phase transition and Anderson localization in a 2D quasiperiodic system, linking topology with disorder-induced localization.

Findings

Topological phase transition occurs with quasidisorder

Anderson localization accompanies the topological transition

Bulk delocalized states have topological nature

Abstract

In this paper, the influence of the quasidisorder on a two-dimensional system is studied. We find that there exists a topological phase transition accompanied by a transverse Anderson localization. The topological properties 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 on the relationship between the topology and the Anderson localization in two-dimensional disordered systems.