Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal

Abstract

The quest for the topological phases of matter in an aperiodic system has been greatly developed recently. Here we investigate the effects of disorder on topological phases of a two-dimensional Ammann-Beenker tiling quasicrystalline lattice. For comparison purposes, we also consider the case of a periodic snub-square crystalline lattice, which has the same primitive tiles as the Ammann-Beenker tiling quasicrystalline lattice. By calculating the spin Bott index and the two-terminal conductance, we confirm that the topological phases with disorder share the similar properties in the two systems which possess different symmetry and periodicity. It is shown that the quantum spin Hall states are robust against weak disorder in both the quasicrystalline lattice and the crystalline lattice. More interesting is that topological Anderson insulator phases induced by disorder appear in the two systems. Furthermore, the quantized conductance plateau contributed by the topological Anderson insulator phase is verified by the distribution of local currents.

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Cited by in corpus (14)

• Chern insulator in a hyperbolic lattice
• Topological states in quasicrystals
• Higher-order topological Anderson insulators in quasicrystals
• Topological Anderson insulators induced by random binary disorders
• Quasicrystalline second-order topological semimetals
• Structural disorder-induced topological phase transitions in quasicrystals
• Topological charge pumping in quasiperiodic systems characterized by Bott index
• Disorder-induced phase transitions in double Weyl semimetals
• Confined states and topological phases in two-dimensional quasicrystalline $\pi$-flux model
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
• Recent progress on disorder-induced topological phases
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal