Topological Nature of Orbital Chern Insulators
arXiv:2503.08138 · doi:10.1088/1361-6633/ae2a68
Abstract
Ground state topologies in quantum materials have unveiled many unique topological phases with novel Hall responses. Recently, the orbital Hall effect in insulators has suggested the existence of orbital Chern insulators (OCIs) in which the orbital angular momentum drives the Hall response. Studies on OCIs, however, have so far been restricted to valley-locked or spinful systems, but candidate materials for systematic studies of OCIs are lacking. Here we discuss a framework for investigating OCIs using the feature-spectrum topology approach. To characterize the ground-state topology in the orbital degree of freedom, we introduce the orbital Chern number and orbital-feature Berry curvature and demonstrate the bulk-boundary correspondence and orbital Hall response. We also uncover a parameter-driven topological phase transition, which would offer tunability of the OCIs. In this way, we identify monolayer blue-phosphorene (traditionally considered topologically trivial) as the primal 'hydrogen atom' of OCIs as a spinless, valley-free OCI material. Our study gives insight into the nature of orbital-driven topological phases and reveals a new facet of blue-phosphorene, and provides a new pathway for advancements in orbitronics and the discovery of novel topological materials.
References in corpus (58)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Maximally-localized generalized Wannier functions for composite energy bands
- Topological Insulators with Inversion Symmetry
- Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Maximally-localized Wannier functions for entangled energy bands
- Universal Intrinsic Spin-Hall Effect
- Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
- Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBiTe
- Colloquium: Topological Band Theory
- Semiconducting layered blue phosphorus: A computational study
- Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
- Arsenene: Two-dimensional buckled and puckered honeycomb arsenic systems
- Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Intrinsic Spin and Orbital Hall Effects from Orbital Texture
- One-dimensional Topological Edge States of Bismuth Bilayers
- Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
- Observation of the orbital Hall effect in a light metal Ti
- Stable nontrivial Z2 topology in ultrathin Bi (111) films: a first-principles study
- Robustness of the Spin-Chern number
- Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
- Gigantic intrinsic orbital Hall effects in weakly spin-orbit coupled metals
- Orbitronics: the Intrinsic Orbital Hall Effect in p-Doped Silicon
- Electrically Tunable Quasi-Flat Bands, Conductance and Field Effect Transistor in Phosphorene
- Orbitronics: Orbital Currents in Solids
- Orbital Torque: Torque Generation by Orbital Current Injection
- Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface
- Minimal model for higher-order topological insulators and phosphorene
- Ab initio calculation of intrinsic spin Hall effect in semiconductors
- Magneto-Optical Detection of the Orbital Hall Effect in Chromium
- Disentangling orbital and valley Hall effects in bilayers of transition metal dichalcogenides
- Orbital Hall effect as an alternative to valley Hall effect in gapped graphene
- Scaling laws for band gaps of phosphorene nanoribbons: A tight-binding calculation
- Strain-induced topological phase transition in phosphorene and phosphorene nanoribbons
- Intrinsic orbital moment and prediction of a large orbital Hall effect in the 2D transition metal dichalcogenides
- Orbital Hall Insulating Phase in Transition Metal Dichalcogenide Monolayers
- Kähler geometry and Chern insulators: Relations between topology and the quantum metric
- Connecting Higher-Order Topology with the Orbital Hall Effect in Monolayers of Transition Metal Dichalcogenides
- Orbital Hall effect in bilayer transition metal dichalcogenides: From the intra-atomic approximation to the Bloch states orbital magnetic moment approach
- Second Order Topological Insulator State in Hexagonal Lattices and its Abundant Material Candidates
- Two-dimensional orbital Hall insulators
- Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
- Orbital Hall effect and orbital edge states caused by s electrons
- Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
- Orbital Hall physics in two-dimensional Dirac materials
- Electronic properties of single-layer antimony: Tight-binding model, spin-orbit coupling and the strength of effective Coulomb interactions
- Topological edge and corner states and fractional corner charges in blue phosphorene
- Multiorbital edge and corner states in black phosphorene
- Reversal of Orbital Hall Conductivity and Emergence of Tunable Topological Quantum States in Orbital Hall Insulator
- Feature-energy duality of topological boundary states in multilayer quantum spin Hall insulator
- Ultrathin films of black phosphorus as suitable platforms for unambiguous observation of the orbital Hall effect
- Quantum geometric bounds in spinful systems with trivial band topology