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

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.

arXiv comment6 pages, 6 figures

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Cited by in corpus (3)

• Quasiperiodic Quadrupole Insulators
• Level spacing distribution of localized phases induced by quasiperiodic potentials
• Fate of Quadratic Band Crossing under quasiperiodic modulation