New classes of topological crystalline insulators with unpinned surface Dirac cones

Abstract

We theoretically predict two new classes of three-dimensional topological crystalline insulators (TCIs), which have an odd number of unpinned surface Dirac cones protected by crystal symmetries. The first class is protected by a single glide plane symmetry; the second class is protected by a composition of a twofold rotation and time-reversal symmetry. Both classes of TCIs are characterized by a quantized $\pi$ Berry phase associated with surface states and a $Z_2$ topological invariant associated with the bulk bands. In the presence of disorder, these TCI surface states are protected against localization by the average crystal symmetries, and exhibit critical conductivity in the universality class of the quantum Hall plateau transition. These new TCIs exist in time-reversal-breaking systems with or without spin-orbital coupling, and their material realizations are discussed.

4 pages plus supplementary materials

References in corpus (9)

• Topological Photonics
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Crystalline Insulators
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Antiferromagnetic topological insulators
• Topology of crystalline insulators and superconductors
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Correlated Topological Insulators with Mixed Valence
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states

Cited by in corpus (79)

• Progress and prospects in magnetic topological materials
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Topological Materials Discovery from Crystal Symmetry
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Topological correspondence between magnetic space group representations
• Hydrodynamic approach to two-dimensional electron systems
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Topological classification and diagnosis in magnetically ordered electronic materials
• Topologically stable gapless phases in nonsymmorphic superconductors
• Topological metals and finite-momentum superconductors
• Floquet topological phase transitions in a periodically quenched dimer
• Theory of optical axion electrodynamics and application to the Kerr effect in topological antiferromagnets
• Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry
• Supermoiré low-energy effective theory of twisted trilayer graphene
• Möbius topological superconductivity in UPt${}_3$
• Crystalline Kitaev spin liquids
• Real-space construction of crystalline topological superconductors and insulators in 2D interacting fermionic systems
• Delocalization Transition of Disordered Axion Insulator
• Symmetry indicator in non-Hermitian systems
• Dirac States in an Inclined Two-Dimensional Su-Schrieffer-Heeger Model
• Interplay of non-symmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na${}_4$Ir${}_3$O${}_8$
• Wave-function geometry of band crossing points in two-dimensions
• Topological Semimetal-Insulator Quantum Phase Transition in Zintl Compounds Ba2X (X=Si, Ge)
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Quantized and half-quantized Anomalous Hall effect induced by in-plane magnetic field
• Fractional chiral superconductors
• Unusual change in the Dirac-cone energy band upon two-step magnetic transition in CeBi
• Noncentrosymmetric topological Dirac semimetals in three dimensions
• Higher-order Klein bottle topological insulator in three-dimensional acoustic crystals
• Higher-Order Topological Insulators via Momentum-Space Nonsymmorphic Symmetries
• Zeeman field-induced two-dimensional Weyl semimetal phase in cadmium arsenide
• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
• Topological Crystalline Magnets: Symmetry-Protected Topological Phases of Fermions
• A gap-protected zero-Hall effect state in the quantum limit of the nonsymmorphic metal KHgSb
• Extremely large magnetoresistance in the hourglass Dirac loop chain metal β-ReO${}_2$
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Mirror real Chern insulator in two and three dimensions
• Triple nodal points characterized by their nodal-line structure in all magnetic space groups
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• Surface state evolution induced by magnetic order in axion insulator candidate EuIn2As2
• Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
• Green's Function Approach to Interacting Higher-order Topological Insulators
• Higher-order topology protected by latent crystalline symmetries
• Surface-dependent Majorana vortex phases in topological crystalline insulators
• Anomalous Crystal Shapes of Topological Crystalline Insulators
• Effects of first- and second-order topological phases on equilibrium crystal shapes
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• $Z_2$ Dirac points with topologically protected multihelicoid surface states
• Diversified Ruderman-Kittel-Kasuya-Yosida Interactions in a Nonsymmorphic Crystal
• General corner charge formulas in various tetrahedral and cubic space groups
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• Topological Enhancement of Nonlinear Transports in Unconventional Point-Node Semimetals
• Theoretical analysis of glide-Z_2 magnetic topological photonic crystals
• Parallel and anti-parallel helical surface states for topological semimetals
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Theory of fractional corner charges in cylindrical crystal shapes
• Nonsymmorphic spin-space cubic groups and SU(2)${}_1$ conformal invariance in one-dimensional spin-1/2 models
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• Local symmetry groups for arbitrary wavevectors
• Global and Local Topological Crystalline Markers for Rotation-Symmetric Insulators
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Euler band topology in superfluids and superconductors
• Local expression of fractional corner charges in obstructed atomic insulators and relationship with the fractional disclination charges
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• Disorder-induced delocalization and reentrance in a Chern-Hopf insulator
• Hinge modes of three-dimensional Euler insulators
• Shaping Maximally Localized Wannier Functions via Discrete Adiabatic Transport
• Topological Invariants of a Filling-Enforced Quantum Band Insulator
• Dynamical Symmetry Indicators for Floquet Crystals
• One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
• Three-dimensional spinless Euler insulators with rotational symmetry