Buckled honeycomb group-$V$--$S_6$ symmetric $(d-2)$ higher order topological insulators

Abstract

Higher Order Topological Insulators (HOTI) are $d$-spatial dimensional systems featuring topologically protected gap-less states at their $(d-n)$-dimensional boundaries. With the help of \textit{ab-initio} calculations and tight binding models along with symmetry considerations we show that monolayer buckled honeycomb structures of group-V elements (Sb,As), which have already been synthesized, belong in this category and have a charge fractionalization of $\frac{e}{2}$ at the corner states as well as weak topological edge states, all protected by their properties under the inversion operation which classify this system as a quadrupole topological insulator.

References in corpus (32)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Quantized Electric Multipole Insulators
• Wannier90 as a community code: new features and applications
• Higher-Order Topological Insulators
• Topological quantum chemistry
• 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
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Quasiparticle Self-Consistent GW Theory
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Acoustic higher-order topological insulator on a Kagome lattice
• Higher-Order Topology in Bismuth
• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• The Zak phase and the existence of edge states in graphene
• Mechanical Isolation of Highly Stable Antimonene under Ambient Conditions
• Novel Topological Phase with Zero Berry Curvature
• Quasiparticle self-consistent $GW$ method; a basis for the independent-particle approximation
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Möbius Insulator and Higher-Order Topology in MnBi${}_{2n}$Te${}_{3n+1}$
• Efficient Topological Materials Discovery Using Symmetry Indicators
• Helical Topological Edge States in a Quadrupole Phase
• Questaal: a package of electronic structure methods based on the linear muffin-tin orbital technique
• Symmetry Enforced Chiral Hinge States and Surface Quantum Anomalous Hall Effect in Magnetic Axion Insulator ${\text{Bi}}_{2-x}{\text{Sm}}_x{\text{Se}}_3$
• Fractional corner charges in spin-orbit coupled crystals
• Topological Properties of Electrons in Honeycomb Lattice with Kekulé Hopping Textures
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Mirror winding number and helical edge modes in honeycomb lattice with hopping-energy texture
• Strong and weak second-order topological insulators with hexagonal symmetry and ${\mathbb{Z}}_3$ index
• Topological band structure transitions in honeycomb antimonene as function of buckling

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• Topological quantum switch and controllable quasi 1D wires in antimonene