Type-II Dirac surface states in topological crystalline insulators

Abstract

We study the properties of a family of anti-pervoskite materials, which are topological crystalline insulators with an insulating bulk but a conducting surface. Using ab-initio DFT calculations, we investigate the bulk and surface topology and show that these materials exhibit type-I as well as type-II Dirac surface states protected by reflection symmetry. While type-I Dirac states give rise to closed circular Fermi surfaces, type-II Dirac surface states are characterized by open electron and hole pockets that touch each other. We find that the type-II Dirac states exhibit characteristic van-Hove singularities in their dispersion, which can serve as an experimental fingerprint. In addition, we study the response of the surface states to magnetic fields.

arXiv comment8 pages, 5 figures

References in corpus (36)

• Topological Insulators
• Topological insulators and superconductors
• Berry Phase Effects on Electronic Properties
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Maximally localized Wannier functions: Theory and applications
• Classification of topological quantum matter with symmetries
• Type-II Weyl Semimetals
• Colloquium: Topological Band Theory
• 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
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• A topological crystalline insulator (TCI) phase via topological phase transition and crystalline mirror symmetry
• Topology of crystalline insulators and superconductors
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Observation of Fermi Arcs in Type-II Weyl Semimetal Candidate WTe2
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Topological classification with additional symmetries from Clifford algebras
• Spectroscopic Evidence of Type II Weyl Semimetal State in WTe2
• Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
• Superconductivity in the antiperovskite Dirac-metal oxide Sr${}_3$SnO
• Three-Dimensional Dirac Electrons at the Fermi Energy in Cubic Inverse Perovskites: Ca_3PbO and its Family
• Possible Verification of Tilted Anisotropic Dirac Cone in α-(BEDT-TTF)_2 I_3 Using Interlayer Magnetoresistance
• New class of topological superconductors protected by magnetic group symmetries
• Low-Energy Effective Hamiltonian and the Surface States of Ca_3PbO
• Classification of topological crystalline insulators based on representation theory
• Longitudinal conductivity of massless fermions with tilted Dirac cone in magnetic field
• Electric-field-induced lifting of the valley degeneracy in alpha-(BEDT-TTF)_2I_3 Dirac-like Landau levels
• Generalized Chiral Symmetry and Stability of Zero Modes for Tilted Dirac Cones
• Crossover from Positive to Negative Interlayer Magnetoresistance in Multilayer Massless Dirac Fermion System with Non-Vertical Interlayer Tunneling
• SU(3) Quantum Hall Ferromagnetism in SnTe
• Spin-Polarization in Magneto-Optical Conductivity of Dirac Electrons
• Survival of sharp $n=0$ Landau levels in massive tilted Dirac fermions: Protection by generalized chiral operator

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• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Giant orbital diamagnetism of three-dimensional Dirac electrons in Sr${}_3$PbO antiperovskite
• Planar Hall effect with sixfold oscillations in a Dirac antiperovskite
• Unusual Valence State in the Antiperovskites Sr${}_3$SnO and Sr${}_3$PbO Revealed by X-ray Photoelectron Spectroscopy
• Composite Dirac Semimetal
• Topological crystalline insulator state with type-II Dirac fermions in transition metal dipnictides
• Photonic Dirac Nodal Line Semimetals Realized by Hyper-crystal
• Single Magnetic Impurity in Tilted Dirac Surface States
• Computational search for Dirac and Weyl nodes in $f$-electon antiperovskites
• Band tilt induced nonlinear Nernst effect in topological insulators: An efficient generation of high-performance spin polarization
• Mapping borophene onto graphene: Quasi-exact solutions for guiding potentials in tilted Dirac cones
• Pseudo field effects in type II Weyl semimetals: new probes for over tilted cones
• Realization of a transition between type-I and type-II Dirac semimetals in monolayers
• Type-II Topological Dirac Semimetals: Theory and Materials Prediction (VAl3 family)
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• Perspective: Molecular beam epitaxy of antiperovskite oxides
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Theory of interaction-induced renormalization of Drude weight and plasmon frequency in chiral multilayer graphene
• Role of Hund's splitting in electronic phase competition in ${\mathrm{Pb}}_{1-x}{\mathrm{Sn}}_x\mathrm{Te}$
• Designer gapped and tilted Dirac cones in lateral graphene superlattices