Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry

Abstract

Recently a nonsymmorphic topological insulator was predicted, where the characteristic feature is the emergence of a "hourglass fermion" surface state protected by the nonsymmorphic symmetry. Such a state has already been observed experimentally. We propose a simple model possessing the hourglass fermion surface state. The model is constructing by stacking the quantum-spin-Hall insulators with the interlayer coupling introduced so as to preserve the nonsymmorphic symmetry and the time reversal symmetry. The Dirac theory is also derived, whose analytical results reproduce the hourglass fermion surface state remarkably well. Furthermore, we discuss how the hourglass state is destroyed by introducing perturbations based on the symmetry analysis. Our results show that the hourglass fermion surface state is universal in the helical edge system with the nonsymmorphic symmetry.

arXiv comment8 pages, 5 figures

References in corpus (28)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantum Spin Hall Effect
• Topological Crystalline Insulators
• Topological Crystalline Insulators in the SnTe Material Class
• Experimental realization of a topological crystalline insulator in SnTe
• Topological crystalline insulator states in Pb(1-x)Sn(x)Se
• Dirac Semimetals in Two Dimensions
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• A topological crystalline insulator (TCI) phase via topological phase transition and crystalline mirror symmetry
• The space group classification of topological band insulators
• Hourglass Fermions
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Filling constraints for spin-orbit coupled insulators in symmorphic and non-symmorphic crystals
• Topological Order and Absence of Band Insulators at Integer Filling in Non-Symmorphic Crystals
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Topology of nonsymmorphic crystalline insulators and superconductors
• Topological non-symmorphic crystalline insulators
• Spinless Topological Insulators without Time-Reversal Symmetry
• Topological Insulators from Group Cohomology
• Topological crystalline semimetals in non-symmorphic lattices
• Classification of topological crystalline insulators based on representation theory
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries
• Filling-Enforced Quantum Band Insulators in Spin-Orbit Coupled Crystals

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