2024 roadmap on 2D topological insulators

Abstract

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the existence of 1D spin-momentum locked metallic edge states - both helical and chiral - surrounding an electrically insulating bulk. Forty years since the first discoveries of topological phases in condensed matter, the abstract concept of band topology has sprung into realization with several materials now available in which sizable bulk energy gaps - up to a few hundred meV - promise to enable topology for applications even at room-temperature. Further, the possibility of combining 2D TIs in heterostructures with functional materials such as multiferroics, ferromagnets, and superconductors, vastly extends the range of applicability beyond their intrinsic properties. While 2D TIs remain a unique testbed for questions of fundamental condensed matter physics, proposals seek to control the topologically protected bulk or boundary states electrically, or even induce topological phase transitions to engender switching functionality. Induction of superconducting pairing in 2D TIs strives to realize non-Abelian quasiparticles, promising avenues towards fault-tolerant topological quantum computing. This roadmap aims to present a status update of the field, reviewing recent advances and remaining challenges in theoretical understanding, materials synthesis, physical characterization and, ultimately, device perspectives.

References in corpus (102)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Anomalous Hall effect
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Maximally localized Wannier functions: Theory and applications
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Room-Temperature Quantum Hall Effect in Graphene
• New directions in the pursuit of Majorana fermions in solid state systems
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• Dissipationless Quantum Spin Current at Room Temperature
• Search for Majorana fermions in superconductors
• Topological quantum chemistry
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Kwant: a software package for quantum transport
• Electrically Tunable Band Gap in Silicene
• The quantum spin Hall effect and topological insulators
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Observation of tunable bandgap and anisotropic Dirac semimetal state in black phosphorus
• Nonlocal edge state transport in the quantum spin Hall state
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Realization of Quantum Spin Hall State in Monolayer 1T'-WTe2
• Higher-Order Topology in Bismuth
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Band-structure topologies of graphene: spin-orbit coupling effects from first principles
• Edge conduction in monolayer WTe2
• Nonthermal pathways to ultrafast control in quantum materials
• Wannier representation of Z_2 topological insulators
• Monolayer Topological Insulators: Silicene, Germanene and Stanene
• Electrically Tunable Low Density Superconductivity in a Monolayer Topological Insulator
• Gate-induced superconductivity in a monolayer topological insulator
• Magnetic modulation doping in topological insulators toward higher-temperature quantum anomalous Hall effect
• Three-dimensional quantum Hall effect and metal-insulator transition in ZrTe5
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Topological phases with parafermions: theory and blueprints
• Machine Learning Topological Invariants with Neural Networks
• Electric Field-Tuned Topological Phase Transition in Ultra-Thin Na3Bi - Towards a Topological Transistor
• Helical edge resistance introduced by charge puddles
• Large Chern Number Quantum Anomalous Hall Effect In Thin-film Topological Crystalline Insulators
• Tuning Chern Number in Quantum Anomalous Hall Insulators
• Germanene termination of Ge${}_2$Pt crystals on Ge(110)
• Imaging Quantum Spin Hall Edges in Monolayer WTe2
• Observation of a Majorana zero mode in a topologically protected edge channel
• On the quantum spin Hall gap of monolayer 1T'-WTe2
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Evidence for equilibrium excitons and exciton condensation in monolayer WTe2
• Wire deconstructionism of two-dimensional topological phases
• Proximity-induced superconducting gap in the quantum spin Hall edge state of monolayer WTe${}_2$
• Unexpected edge conduction in HgTe quantum wells under broken time reversal symmetry
• Resistance of helical edges formed in a semiconductor heterostructure
• Robust spin-polarized midgap states at step edges of topological crystalline insulators
• Prediction of a large-gap and switchable Kane-Mele quantum spin Hall insulator
• Tomonaga-Luttinger liquid in the edge channels of a quantum spin Hall insulator
• Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid
• Visualization of the strain-induced topological phase transition in a quasi-one-dimensional superconductor TaSe3
• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• Discovering new two-dimensional topological insulators from computational screening
• In-situ strain-tuning of the metal-insulator-transition of Ca${}_2$RuO${}_4$ in angle-resolved photoemission experiments
• Direct Evidence of Interaction-Induced Dirac Cones in Monolayer Silicene/Ag(111) System
• Microfocus laser-ARPES on encapsulated mono-, bi-, and few-layer 1T'-WTe${}_2$
• Interacting topological edge channels
• Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
• Atomically Thin Quantum Spin Hall Insulators
• A new paradigm for the quantum spin Hall effect at high temperatures
• Strain Engineering of the Band Gap of HgTe Quantum Wells using Superlattice Virtual Substrates
• Machine learning for materials discovery: two-dimensional topological insulators
• Overcoming Boltzmann's Tyranny in a Transistor via the Topological Quantum Field Effect
• In search of Majorana
• Direct evidence for Cooper pairing without a spectral gap in a disordered superconductor above $T_C$
• The influence of lattice termination on the edge states of the quantum spin Hall insulator monolayer $1T^{\prime }$-WTe${}_2$
• Custodial glide symmetry of quantum spin Hall edge modes in WTe${}_2$ monolayer
• Design and realization of topological Dirac fermions on a triangular lattice
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Enhanced ultrafast relaxation rate in the Weyl semimetal phase of $\mathbf{MoT}{\mathbf{e}}_2$ measured by time-and angle-resolved photoelectron spectroscopy
• Three-Dimensional Quantum Anomalous Hall Effect in Ferromagnetic Insulators
• Determination of the spin axis in quantum spin Hall insulator monolayer WTe2
• Electric field effects on the band gap and edge states of monolayer 1T'-WTe2
• Robust all-electrical topological valley filtering using monolayer 2D-Xenes
• Dynamical separation of bulk and edge transport in HgTe-based 2D topological insulators
• Stabilizing an atomically thin quantum spin Hall insulator at ambient conditions: Graphene-intercalation of indenene
• Observation of room temperature excitons in an atomically thin topological insulator
• Multi-Band Superconductivity in Strongly Hybridized 1T'-WTe${}_2$/NbSe${}_2$ Heterostructures
• Signatures of Helical Edge Transport in Millimetre-Scale Thin Films of Na3Bi
• Theory of AC quantum transport with fully electrodynamic coupling
• A gate-tunable quantum phase transition in a topological excitonic insulator
• Breakdown of helical edge state topologically protected conductance in time-reversal-breaking excitonic insulators
• Ultrafast Momentum-resolved Hot Electron Dynamics in the Two-dimensional Topological Insulator Bismuthene
• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
• Probing edge state conductance in ultra-thin topological insulator films
• Proposal for a Negative Capacitance Topological Quantum Field-Effect Transistor
• Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
• Low-energy effective theory and anomalous Hall effect in monolayer ${\mathrm{WTe}}_2$
• Spin-polarized tunneling into helical edge states: asymmetry and conductances

Cited by in corpus (13)

• Realization of a one-dimensional topological insulator in ultrathin germanene nanoribbons
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Composite helical edges from Abelian fractional topological insulators
• Topological junction states in graphene nanoribbons: A route to topological chemistry
• Moiré-modulated band gap and van Hove singularities in twisted bilayer germanene
• Interface engineering of van der Waals heterostructures towards energy-efficient quantum devices operating at high temperatures
• Resilient Intraparticle Entanglement and its Manifestation in Spin Dynamics of Disordered Dirac Materials
• Quantum Coherent Transport of 1D ballistic states in second order topological insulator Bi${}_4$Br${}_4$
• Tailoring Robust Quantum Anomalous Hall Effect via Entropy-Engineering
• Giant Spin Transport Anisotropy in Magnetic Topological Insulators
• Exact solutions for topological surface states of three-dimensional lattice models
• Structure determination of flat honeycomb Bi grown on Ag(111)
• Large-Area Deterministic Stamping of 2D Materials on Arbitrarily Patterned Surfaces