Dual topology in Jacutingaite Pt${}_2$HgSe${}_3$

Abstract

Topological phases of electronic systems often coexist in a material, well-known examples being systems which are both strong and weak topological insulators. More recently, a number of materials have been found to have the topological structure of both a weak topological insulator and a mirror-protected topological crystalline insulator. In this work, we first focus on the naturally occurring mineral called Jacutingaite, Pt${}_2$HgSe${}_3$, and show based on density-functional calculations that it realizes this dual topological phase and that the same conclusion holds for Pd${}_2$HgSe${}_3$. Second, we introduce tight-binding models that capture the essential topological properties of this dual topological phase in materials with three-fold rotation symmetry and use these models to describe the main features of the surface spectral density of different materials in the class.

References in corpus (49)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Topological invariants of time-reversal-invariant band structures
• Topological Crystalline Insulators
• Quantized Electric Multipole Insulators
• Experimental discovery of Weyl semimetal TaAs
• Higher-Order Topological Insulators
• Topological quantum chemistry
• Topological Crystalline Insulators in the SnTe Material Class
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• The (High Quality) Topological Materials In The World
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Observation of second-order topological insulators in sonic crystals
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Higher-order bulk-boundary correspondence for topological crystalline phases
• Majorana corner modes in a high-temperature platform
• Symmetry indicators and anomalous surface states of topological crystalline insulators
• High-Temperature Majorana Corner States
• The strong side of weak topological insulators
• Observation of Quadrupole Transitions and Edge Mode Topology in an LC network
• Weak-Pairing Higher Order Topological Superconductors
• Majorana Kramers pairs in higher-order topological insulators
• Stacked topological insulator built from bismuth-based graphene sheet analogues
• Higher-order topological insulators protected by inversion and rotoinversion symmetries
• Minimal model for higher-order topological insulators and phosphorene
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Prediction of a large-gap and switchable Kane-Mele quantum spin Hall insulator
• Magnetic second-order topological insulators and semimetals
• Prediction of weak topological insulators in layered semiconductors
• $\mbox{Bi}_{1}\mbox{Te}_{1}$: a dual topological insulator
• Strong and weak second-order topological insulators with hexagonal symmetry and ${\mathbb{Z}}_3$ index
• Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
• Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
• Coexisting edge states and gapless bulk in topological states of matter
• Topological crystalline insulator states in the Ca${}_2$As family
• Gapless Topological Superconductors - Model Hamiltonian and Realization

Cited by in corpus (23)

• Topological Materials Discovery from Crystal Symmetry
• Engineering Corner States from Two-Dimensional Topological Insulators
• Topological electronic structure and intrinsic magnetization in MnBi${}_4$Te${}_7$: a Bi${}_2$Te${}_3$-derivative with a periodic Mn sublattice
• Bulk and surface electronic structure of the dual-topology semimetal Pt2HgSe3
• Signature of large-gap quantum spin Hall state in the layered mineral jacutingaite
• Symmetry Conserving Maximally Projected Wannier Functions
• Emergent dual topology in the three-dimensional Kane-Mele Pt${}_2$HgSe${}_3$
• Saddle-point von Hove singularity and dual topological insulator state in Pt${}_2$HgSe${}_3$
• The hybrid-order topology of weak topological insulators
• Jacutingaite-family: a class of topological materials
• Electronic structure of the surface superconducting Weyl semimetal PtBi${}_2$
• Second-Order Topological Insulator in van der Waals Heterostructures of CoBr${}_2$/Pt${}_2$HgSe${}_3$/CoBr${}_2$
• Spectroscopic Evidence for Dirac Nodal Surfaces and Nodal Rings in Superconductor NaAlSi
• Magnetic warping in topological insulators
• Multi-frequency Shubnikov-de Haas oscillations in topological semimetal Pt${}_2$HgSe${}_3$
• Gate-tunable imbalanced Kane-Mele model in encapsulated bilayer jacutingaite
• Engineering a pure Dirac regime in ZrTe${}_5$
• STM observation of the hinge-states of bismuth nanocrystals
• Dual topological insulator with mirror symmetry protected helical edge states
• Superconductivity in doped planar Dirac insulators: A renormalization group study
• Topological properties of domain walls in antiferromagnetic topological insulators
• Floquet engineering of spin-valley selective transport in jacutingaite
• Exotic Topological Phenomena in Chiral Superconducting States on Doped Quantum Spin Hall Insulators with Honeycomb Lattices