Percolating States in the Topological Anderson Insulator

Abstract

We investigate the presence of percolating states in disordered two-dimensional topological insulators. In particular, we uncover a close connection between these states and the so-called topological Anderson insulator (TAI), which is a topologically non-trivial phase induced by the presence of disorder. The decay of this phase could previously be connected to a delocalization of bulk states with increasing disorder strength. In this work we identify this delocalization to be the result of a percolation transition of states that circumnavigate the hills of the bulk disorder potential.

arXiv comment8 pages, 5 figures, to appear in Phys. Rev. B

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Cited by in corpus (12)

• Photonic Topological Anderson Insulators
• Chern insulator in a hyperbolic lattice
• The topological Anderson insulator phase in the Kane-Mele model
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Transport and localization in a topological phononic lattice with correlated disorder
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• Disorder effects in correlated topological insulators
• Floquet topological transitions in extended Kane-Mele models with disorder
• Weak quantization of non-interacting topological Anderson insulator
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• Conductivity of a two-dimensional HgTe layer near the critical width: The role of developed edge states network and random mixture of $p$- and $n$-domains
• Recent progress on disorder-induced topological phases