Higher-order topological Anderson insulators in quasicrystals

Abstract

The disorder effects on higher-order topological phases in periodic systems have attracted much attention. However, in aperiodic systems, such as quasicrystalline systems, the interplay between disorder and higher-order topology is still unclear. In this paper, we investigate the effects of disorder on two types of second-order topological insulators, including a quasicrystalline quadrupole insulator and a modified quantum spin Hall insulator, in a two-dimensional Amman-Beenker tiling quasicrystalline lattice. We demonstrate that the higher-order topological insulators are robust against weak disorder in both models. More striking, the disorder-induced higher-order topological insulators called higher-order topological Anderson insulators are found at a certain region of disorder strength in both models. Our paper extends the study of the interplay between disorder and higher-order topology to quasicrystalline systems.

References in corpus (17)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Topological Anderson Insulator
• Photonic Topological Anderson Insulators
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Topological Anderson Insulator in Three Dimensions
• Topolectrical-circuit octupole insulator with topologically protected corner states
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Interplay between topology and disorder in a two-dimensional semi-Dirac material
• Disorder-induced topological phase transitions on Lieb lattices
• The Global Phase Diagram of disordered Higher-order Weyl Semimetals
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal
• Hinged Quantum Spin-Hall Effect in Antiferromagnetic Topological Insulators
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal

Cited by in corpus (20)

• Chern insulator in a hyperbolic lattice
• Higher-order topological insulators in hyperbolic lattices
• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Quasicrystalline second-order topological semimetals
• Physical properties of an Aperiodic monotile: Graphene-like features, chirality and zero-modes
• Density-driven higher-order topological phase transitions in amorphous solids
• Structural disorder-induced topological phase transitions in quasicrystals
• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Higher-dimensional Hofstadter butterfly on Penrose lattice
• Confined states and topological phases in two-dimensional quasicrystalline $\pi$-flux model
• Higher-order topology in twisted multilayer systems: a review
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Tunable corner states in topological insulators with long-range hoppings and diverse shapes
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Quasiperiodic Quadrupole Insulators
• Tunable cornerlike states in topological type-II hyperbolic lattices
• Real-space formulation of topology for disordered Rice-Mele chains without chiral symmetry
• The Quadrupole Moment of Higher-Order Topological Insulator at Finite temperature