A general route to form topologically-protected surface and bulk Dirac fermions along high-symmetry lines

Abstract

The band inversions that generate the topologically non-trivial band gaps of topological insulators and the isolated Dirac touching points of three-dimensional Dirac semimetals generally arise from the crossings of electronic states derived from different orbital manifolds. Recently, the concept of single orbital-manifold band inversions occurring along high-symmetry lines has been demonstrated, stabilising multiple bulk and surface Dirac fermions. Here, we discuss the underlying ingredients necessary to achieve such phases, and discuss their existence within the family of transition metal dichalcogenides. We show how their three-dimensional band structures naturally produce only small $k_z$ projected band gaps, and demonstrate how these play a significant role in shaping the surface electronic structure of these materials. We demonstrate, through spin- and angle-resolved photoemission and density functional theory calculations, how the surface electronic structures of the group-X TMDs PtSe${}_2$ and PdTe${}_2$ are host to up to five distinct surface states, each with complex band dispersions and spin textures. Finally, we discuss how the origin of several recently-realised instances of topological phenomena in systems outside of the TMDs, including the iron-based superconductors, can be understood as a consequence of the same underlying mechanism driving $k_z$-mediated band inversions in the TMDs.

arXiv comment14 pages, 8 figures

References in corpus (34)

• Topological Insulators with Inversion Symmetry
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Intrinsic and Extrinsic Performance Limits of Graphene Devices on SiO2
• Maximally-localized Wannier functions for entangled energy bands
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Unconventional Integer Quantum Hall effect in graphene
• Observation of Weyl nodes in TaAs
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Topological classification of crystalline insulators through band structure combinatorics
• Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe${}_2$
• Wien2wannier: From linearized augmented plane waves to maximally localized Wannier functions
• Experimental Realization of Type-II Dirac Fermions in PdTe${}_2$ Superconductor
• Type-II Dirac fermions in the PtSe${}_2$ class of transition metal dichalcogenides
• Multiple topological states in iron-based superconductors
• Experimental evidence of type-II Dirac fermions in PtSe2
• Origin of giant bulk Rashba splitting: Application to BiTeI
• Ubiquitous formation of bulk Dirac cones and topological surface states from a single orbital manifold in transition-metal dichalcogenides
• Massive Dirac surface states in topological insulator/magnetic insulator heterostructures
• A facility for the analysis of the electronic structures of solids and their surfaces by synchrotron radiation photoelectron spectroscopy
• Fermiology and Superconductivity of Topological Surface States in PdTe${}_2$
• Spin-Polarized Surface Resonances Accompanying Topological Surface State Formation
• Manipulation of type-I and type-II Dirac points in PdTe2 superconductor by external pressure
• Novel Spin-texture on the warped Dirac-cone surface states in topological insulators
• Very Efficient Spin Polarization Analysis (VESPA): New Exchange Scattering-based Setup for Spin-resolved ARPES at APE-NFFA Beamline at Elettra
• Type-II Dirac semimetals in the YPd${}_2$Sn class
• Approaching the Type-II Dirac Point and Concomitant Superconductivity in Pt-doping Stabilized Metastable 1T-phase IrTe2
• Nodeless superconductivity in type-II Dirac semimetal PdTe2: low-temperature London penetration depth and symmetry analysis
• $\beta$-CuI: a Dirac semimetal without surface Fermi arcs
• Anisotropy effects on Rashba and topological insulator spin polarized surface states: a unified phenomenological description
• Topologically nontrivial phases in superconducting transition metal carbides

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• Ta2NiSe5: a candidate topological excitonic insulator with multiple band inversions
• GW effects on the topology of type-II Dirac cones in NiTe${}_2$, PtSe${}_2$ and PtTe${}_2$
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