Toward Realistic Amorphous Topological Insulators

Abstract

The topological properties of materials are, until now, associated with the features of their crystalline structure, although translational symmetry is not an explicit requirement of the topological phases. Recent studies of hopping models on random lattices have demonstrated that amorphous model systems show a nontrivial topology. Using {\it ab initio} calculations we show that two-dimensional amorphous materials can also display topological insulator properties. More specifically, we present a realistic state-of-the-art study of the electronic and transport properties of amorphous bismuthene systems, showing that these materials are topological insulators. These systems are characterized by the topological index ${\mathbb{Z}}_2=1$ and bulk-edge duality, and their linear conductance is quantized, $\mathcal{G}=2e^2/h$, for Fermi energies within the topological gap. Our study opens the path to the experimental and theoretical investigation of amorphous topological insulator materials.

References in corpus (23)

• Topological Insulators
• Topological insulators and superconductors
• Advanced capabilities for materials modelling with Quantum ESPRESSO
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• Amorphous topological insulators constructed from random point sets
• Topological Insulators in Random Lattices
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Theory of spin Bott index for quantum spin Hall states in non-periodic systems
• Topological Amorphous Metals
• Effective and accurate representation of extended Bloch states on finite Hilbert spaces
• Amorphous topological superconductivity in a Shiba glass
• Accurate Tight-Binding Hamiltonians for 2D and Layered Materials
• Insulating Behavior of an Amorphous Graphene Membrane
• Low energy phases of bilayer Bi predicted by structure search in two dimensions
• An efficient method for computing the electronic transport properties of a multi-terminal system
• Topologically-protected metallic states induced by a one-dimensional extended defect in a 2D topological insulator
• Honeycomb Lattices with Defects
• Long range dynamical coupling between magnetic adatoms mediated by a 2D topological insulator

Cited by in corpus (43)

• The 2021 Quantum Materials Roadmap
• Disentangling orbital and valley Hall effects in bilayers of transition metal dichalcogenides
• Amorphous photonic topological insulator
• Structural Disorder Induced Second-order Topological Insulators in Three Dimensions
• Topological Weaire-Thorpe models of amorphous matter
• Connecting Higher-Order Topology with the Orbital Hall Effect in Monolayers of Transition Metal Dichalcogenides
• Machine learning for materials discovery: two-dimensional topological insulators
• Amorphous topological matter: theory and experiment
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Symmetry-Protected Topological Phases in a Rydberg Glass
• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Disorder effects of vacancies on the electronic transport properties of realistic topological insulators nanoribbons: the case of bismuthene
• Fractionalization and topology in amorphous electronic solids
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• Topological Random Fractals
• Noncrystalline topological superconductors
• Orbital magnetoelectric effect in nanoribbons of transition metal dichalcogenides
• An Exact Chiral Amorphous Spin Liquid
• Topological Anderson amorphous insulator
• Average Symmetry Protected Higher-order Topological Amorphous Insulators
• Non-reciprocal magnons in a two dimensional crystal with off-plane magnetization
• Density-driven higher-order topological phase transitions in amorphous solids
• Dual Topological Insulator Device with Disorder Robustness
• Phase transitions and scale invariance in topological Anderson insulators
• Local Chern Marker for Periodic Systems
• Structural spillage: an efficient method to identify non-crystalline topological materials
• Theory of local ${\mathbb{Z}}_2$ topological markers for finite and periodic two-dimensional systems
• Ultrathin films of black phosphorus as suitable platforms for unambiguous observation of the orbital Hall effect
• Topological diffusive metal in amorphous transition metal monosilicides
• Tuning Hydrogen Adsorption and Electronic Properties from Graphene to Fluorographone
• Robustness of topological magnons in disordered arrays of skyrmions
• Structure-driven phase transitions in paracrystalline topological insulators
• Topological insulating phase arising in transition metal dichalcogenide alloy
• Uncovering the Structural Evolution Arsenene on SiC Substrate
• Real space quantum metric of solids
• Fluctuations and Correlations of Local Topological Order Parameters in Disordered Two-dimensional Topological Insulators
• Laser-induced topological phases in monolayer amorphous carbon
• Topological band insulators without translational symmetry
• Aharanov-Bohm oscillations and perfectly transmitted mode in amorphous topological insulator nanowires
• Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
• Non-self-averaging topological Anderson insulator