Structural disorder-induced topological phase transitions in quasicrystals

Abstract

Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band topology is still unclear. In this work, we investigate the effects of structural disorder on a quantum spin Hall insulator phase and a higher-order topological phase in a two-dimensional Amman-Beenker tiling quasicrystalline lattice, respectively. We demonstrate that the structural disorder can induce a topological phase transition from a quasicrystalline normal insulator phase to an amorphous quantum spin Hall insulator phase, which is confirmed by bulk gap closing and reopening, robust edge states, quantized spin Bott index and conductance. Furthermore, the structural disorder-induced higher-order topological phase transition from a quasicrystalline normal insulator phase to an amorphous higher-order topological phase characterized by quantized quadrupole moment and topological corner states is also found. More strikingly, the disorder-induced higher-order topological insulator with eight corner states represents a distinctive topological state that eludes realization in conventional crystalline systems. Our work extends the study of the interplay between disorder effects and topologies to quasicrystalline and amorphous systems.

9 pages,7 figures. arXiv admin note: text overlap with arXiv:2108.04971

References in corpus (20)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Anderson Insulator
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Synthesis and properties of free-standing monolayer amorphous carbon
• Topological phase transition in non-Hermitian quasicrystals
• Photonic Topological Anderson Insulators
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Topological Anderson Insulator in Three Dimensions
• Phase transitions and configuration space topology
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Effective Model for Fractional Topological Corner Modes in Quasicrystals
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Interplay between topology and disorder in a two-dimensional semi-Dirac material
• Disorder-induced topological phase transitions on Lieb lattices
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Topological Anderson amorphous insulator
• Average Symmetry Protected Higher-order Topological Amorphous Insulators
• Density-driven higher-order topological phase transitions in amorphous solids
• Higher-order Topological Insulators and Semimetals in Three Dimensions without Crystalline Counterparts

Cited by in corpus (7)

• Higher-order topology in twisted multilayer systems: a review
• Recent progress on disorder-induced topological phases
• Tunable cornerlike states in topological type-II hyperbolic lattices
• Topological band insulators without translational symmetry
• Superconducting order parameter in aperiodic binary systems
• Proximity Effects Between the Graphene Quasicrystal and Magic-Angle Twisted Bilayer Graphene
• Non-self-averaging topological Anderson insulator