Emergence of a Chern-insulating state from a semi-Dirac dispersion

Abstract

A Chern insulator (quantum anomalous Hall insulator) phase is demonstrated to exist in a typical semi-Dirac system, the TiO2/VO2 heterostructure. By combining first-principles calculations with Wannier-based tight-binding model, we calculate the Berry curvature distribution, finding a Chern number of -2 for the valence bands, and demonstrate the existence of gapless chiral edge states, ensuring quantization of the Hall conductivity to 2e^2/h. A new semi-Dirac model, where each semi-Dirac cone is formed by merging three conventional Dirac points, is proposed to reveal how the nontrivial topology with finite Chern number is compatible with a semi-Dirac electronic spectrum.

12 pages, 3 figures

References in corpus (11)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Spectral and Fermi surface properties from Wannier interpolation
• Merging of Dirac points in a two-dimensional crystal
• Chern insulators from heavy atoms on magnetic substrates
• Chern insulator at a magnetic rocksalt interface
• Quantum anomalous Hall phase in (001) double-perovskite monolayers via intersite spin-orbit coupling
• Construction of Wannier functions from localized atomic-like orbitals

Cited by in corpus (52)

• Type-II Dirac fermions in the PtSe${}_2$ class of transition metal dichalcogenides
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• High-Temperature Quantum Anomalous Hall Insulators in Lithium-Decorated Iron-Based Superconductor Materials
• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Photoinduced Chern insulating states in semi-Dirac materials
• Universality classes of topological phase transitions with higher-order band crossing
• Optical properties of a semi-Dirac material
• Topological states in quasicrystals
• Quantum Anomalous Hall Effect in Magnetic Doped Topological Insulators and Ferromagnetic Spin-Gapless Semiconductors -- A Perspective Review
• Dynamical polarization and plasmons in a two-dimensional system with merging Dirac points
• Collective modes in multi-Weyl semimetals
• Anisotropic effects in two-dimensional materials
• Direction dependent giant optical conductivity in 2D \textit{semi}-Dirac materials
• Quantum Criticality of Semi-Dirac Fermions in 2+1 Dimensions
• Semi-Dirac Fermions in a Topological Metal
• Dirac-semimetal phase diagram of two-dimensional black phosphorus
• Semi-Dirac and Weyl Fermions in Transition Metal Oxides
• Controllable chirality and band gap of quantum anomalous Hall insulators
• Landau Levels in 2D materials using Wannier Hamiltonians obtained by first principles
• Superconducting States for Semi-Dirac Fermions at Zero and Finite Magnetic Fields
• Anisotropic magneto-optical absorption and linear dichroism in two-dimensional semi-Dirac electron systems
• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
• Quantum spin Hall effect in rutile-based oxide multilayers
• Tuning ferromagnetic BaFe${}_2$(PO${}_4$)${}_2$ through a high Chern number topological phase
• Crystalline topological Dirac semimetal phase in rutile structure ${\beta }^{\prime }$-PtO${}_2$
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Confinement-driven electronic and topological phases in corundum-derived $3d$-oxide honeycomb lattices
• Coulomb interactions and renormalization of semi-Dirac fermions near a topological Lifshitz transition
• Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact $1/N_f$ exponents
• Coulomb interactions in systems of generalized semi-Dirac fermions
• Highly anisotropic optical conductivities in two-dimensional tilted semi-Dirac bands
• Anisotropic Pseudospin Tunneling in Two-Dimensional Black Phosphorus Junctions
• Topological chiral interface states beyond insulators
• Power law decay of local density of states oscillations near a line defect in a system with semi-Dirac points
• Chern insulating phases and thermoelectric properties of EuO/MgO(001) superlattices
• Off-resonant light-induced topological phase transition and thermoelectric transport in semi-Dirac materials
• Opacity of graphene independent of light frequency and polarization due to the topological charge of the Dirac points
• The electronic structure and intervalley coupling of artificial and genuine graphene superlattice
• Goos-Hänchen Shift and Photonic Spin Hall Effect in Semi-Dirac Material Heterostructures
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Spatial localization and diffusion of Dirac particles and waves induced by random temporal medium variations
• Microscopic lattice model for quartic semi-Dirac fermions in two dimensions
• Band warping, band non-parabolicity and Dirac points in fundamental lattice and electronic structures
• Nonadiabatic transition at a band-touching point
• Tunable plasmon modes and topological transitions in single- and bilayer semi-Dirac materials
• Dirac topological insulator in the d${}_{z^2}$ manifold of a honeycomb oxide
• Design of Chern Insulating Phases in Honeycomb Lattices
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Excitonic instability in transition metal dichalcogenides
• Interacting type-II semi-Dirac quasiparticles
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases