Topological Anderson insulator phase in a quasicrystal lattice

Abstract

Motivated by the recent experimental realization of the topological Anderson insulator and research interest on the topological quasicrystal lattices, we investigate the effects of disorder on topological properties of a two-dimensional Penrose-type quasicrystal lattice that supports the quantum spin Hall insulator (QSHI) and normal insulator (NI) phases in the clean limit. It is shown that the helical edge state of the QSHI phase is robust against weak disorder. Most saliently, it is found that disorder can induce a phase transition from NI to QSHI phase in the quasicrystal system. The numerical results based on a two-terminal device show that a quantized conductance plateau can arise inside the energy gap of NI phase for moderate Anderson disorder strength. Further, it is confirmed that the local current distributions of the disorder-induced quantized conductance plateau are located on the two edges of sample. Finally, we identify this disorder-induced phase as topological Anderson insulator phase by computing the disorder-averaged spin Bott index.

References in corpus (14)

• Topological Anderson Insulator
• Topological phase transition in non-Hermitian quasicrystals
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Photonic Topological Anderson Insulators
• Topological Anderson Insulator in Three Dimensions
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
• Theory of spin Bott index for quantum spin Hall states in non-periodic systems
• Observation of topological edge modes in a quasi-periodic acoustic waveguide
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Disorder-induced topological phase transitions on Lieb lattices

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• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
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• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Recent progress on disorder-induced topological phases
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