Two-dimensional higher-order topology in monolayer graphdiyne

Abstract

Based on first-principles calculations and tight-binding model analysis, we propose monolayer graphdiyne as a candidate material for a two-dimensional higher-order topological insulator protected by inversion symmetry. Despite the absence of chiral symmetry, the higher-order topology of monolayer graphdiyne is manifested in the filling anomaly and charge accumulation at two corners. Although its low energy band structure can be properly described by the tight-binding Hamiltonian constructed by using only the $p_z$ orbital of each atom, the corresponding bulk band topology is trivial. The nontrivial bulk topology can be correctly captured only when the contribution from the core levels derived from $p_{x,y}$ and $s$ orbitals are included, which is further confirmed by the Wilson loop calculations. We also show that the higher-order band topology of a monolayer graphdyine gives rise to the nontrivial band topology of the corresponding three-dimensional material, ABC-stacked graphdiyne, which hosts monopole nodal lines and hinge states.

arXiv comment19 pages, 4 figures, new title

References in corpus (29)

• Berry Phase Effects on Electronic Properties
• Topological Insulators with Inversion Symmetry
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Topological nodal line semimetals with and without spin-orbital coupling
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Higher-Order Topology in Bismuth
• Dirac Line Nodes in Inversion Symmetric Crystals
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• Inversion Symmetric Topological Insulators
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Quantized Response and Topology of Insulators with Inversion Symmetry
• Band Topology and Linking Structure of Nodal Line Semimetals with Z2 Monopole Charges
• Higher Order Topological Phases: A General Principle of Construction
• Higher-order topological insulators protected by inversion and rotoinversion symmetries
• Minimal model for higher-order topological insulators and phosphorene
• Symmetry Enforced Chiral Hinge States and Surface Quantum Anomalous Hall Effect in Magnetic Axion Insulator ${\text{Bi}}_{2-x}{\text{Sm}}_x{\text{Se}}_3$
• $PT$ Symmetric Real Dirac Fermions and Semimetals
• Fragile Topology Protected by Inversion Symmetry: Diagnosis, Bulk-Boundary Correspondence, and Wilson Loop
• Symmetry representation approach to topological invariants in $C_{2z}T$-symmetric systems
• Topological classification under nonmagnetic and magnetic point group symmetry: Application of real-space Atiyah-Hirzebruch spectral sequence to higher-order topology
• Fractional charge bound to a vortex in two dimensional topological crystalline insulators
• Three-dimensional graphdiyne as a topological nodal-line semimetal

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