Topological Anderson amorphous insulator

Abstract

The topological phase in amorphous systems adds a new dimension to the topological states of matter. Here, we present an interesting phenomenon dubbed the topological Anderson amorphous insulator (TAAI). Anderson disorder can drive topologically trivial amorphous systems with structural disorders into noncrystalline topological insulators. The gap closing and reopening, spin Bott index, robust edge states, and quantized conductance characterize the Anderson disorder-induced nontrivial topology in amorphous systems. More importantly, phase diagrams are given for the topological phase transition (TPT). It is found that amorphous structural disorder and Anderson disorder are synergistic to drive the s-p band inversion of the system and hence the TPT, which is further confirmed by the effective medium theory. Our findings report a disorder-induced topological phenomenon in noncrystalline systems and shed light on the physical understanding of the interplay between the coexistence of two types of disorder effects and topology.

arXiv comment4 figures

References in corpus (45)

• Topological Anderson Insulator
• Theory of the topological Anderson insulator
• Observation of the topological Anderson insulator in disordered atomic wires
• Photonic Topological Anderson Insulators
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Amorphous topological insulators constructed from random point sets
• Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
• Disordered Topological Insulators via $C^{\ast }$-Algebras
• Topological Insulators in Random Lattices
• Topological Anderson Insulator in Three Dimensions
• Conductance calculations for quantum wires and interfaces: mode matching and Green functions
• Scattering formula for the topological quantum number of a disordered multi-mode wire
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Higher-order topological insulators in amorphous solids
• Non-Hermitian Topological Anderson Insulators
• Properties of a continuous-random-network model for amorphous systems
• Theory of spin Bott index for quantum spin Hall states in non-periodic systems
• Topological Anderson insulator phenomena
• The dependence of topological Anderson insulator on the type of disorder
• Quantum criticality of quasi one-dimensional topological Anderson insulators
• Higher-order Topological Anderson Insulators
• Amorphous photonic topological insulator
• Topological Amorphous Metals
• Structural Disorder Induced Second-order Topological Insulators in Three Dimensions
• Observation of spin-momentum locked surface states in amorphous Bi${}_2$Se${}_3$
• Amorphous Photonic Lattices: Band Gaps, Effective Mass and Suppressed Transport
• Three-dimensional phase diagram of disordered HgTe/CdTe Quantum spin-Hall wells
• Toward Realistic Amorphous Topological Insulators
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• Amorphous topological superconductivity in a Shiba glass
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Topological Anderson insulator phase in a quasicrystal lattice
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Disorder-induced topological phase transition in a 1D mechanical system
• Universal behavior of optimal paths in weighted networks with general disorder
• Anti-chiral edge states and hinge states based on the Haldane model
• Amorphous topological phases protected by continuous rotation symmetry
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Time-dependent topological systems: A study of the Bott index
• Density-driven higher-order topological phase transitions in amorphous solids

Cited by in corpus (15)

• Topological inverse Anderson insulator
• Structural disorder-induced topological phase transitions in quasicrystals
• Third-order topological insulator induced by disorder
• Disorder-Induced Topological Transitions in a Multilayer Topological Insulator
• Band alignment effect in the topological photonic alloy
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
• Quantum Hall criticality in an amorphous Chern insulator
• Global and Local Topological Crystalline Markers for Rotation-Symmetric Insulators
• Recent progress on disorder-induced topological phases
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Topological band insulators without translational symmetry
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Non-self-averaging topological Anderson insulator