Transport in two-dimensional topological materials: recent developments in experiment and theory

Abstract

We review theoretical and experimental highlights in transport in two-dimensional materials focussing on key developments over the last five years. Topological insulators are finding applications in magnetic devices, while Hall transport in doped samples and the general issue of topological protection remain controversial. In transition metal dichalcogenides valley-dependent electrical and optical phenomena continue to stimulate state-of-the-art experiments. In Weyl semimetals the properties of Fermi arcs are being actively investigated. A new field, expected to grow in the near future, focuses on the non-linear electrical and optical responses of topological materials, where fundamental questions are once more being asked about the intertwining roles of the Berry curvature and disorder scattering. In topological superconductors the quest for chiral superconductivity, Majorana fermions and topological quantum computing is continuing apace.

Topical review commissioned by 2D Materials, 57 pages, 33 figures. Your suggestions and comments are welcome

References in corpus (132)

• 2D materials and van der Waals heterostructures
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• The Valley Hall Effect in MoS2 Transistors
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Topological response in Weyl semimetals and the chiral anomaly
• Nonlocal edge state transport in the quantum spin Hall state
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Topological origin of subgap conductance in insulating bilayer graphene
• Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
• Impurity effect on weak anti-localization in the topological insulator Bi2Te3
• Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi${}_2$Se${}_3$
• Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
• One-dimensional Topological Edge States of Bismuth Bilayers
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Observation of Dirac Holes and Electrons in a Topological Insulator
• Distinguishing a Majorana zero mode using spin resolved measurements
• Theory of the proximity effect in junctions with unconventional superconductors
• Intrinsic spin Hall effect in monolayers of group-VI dichalcogenides: A first-principles study
• Imaging Dirac-Mass Disorder from Magnetic Dopant-Atoms in the Ferromagnetic Topological Insulator Cr${}_x$(Bi${}_{0.1}$Sb${}_{0.9}$)${}_{2-x}$Te${}_3$
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Proximity effect at the superconductor - topological insulator interface
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Topological spin-current in non-centrosymmetric superconductors
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• Large Unidirectional Magnetoresistance in a Magnetic Topological Insulator
• Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Quantum Hall Effect on Top and Bottom Surface States of Topological Insulator (Bi1-xSbx)2Te3 Films
• Topological surface states in nodal superconductors
• Spin convertance at magnetic interfaces
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Above 400 K Robust Perpendicular Ferromagnetic Phase in a Topological Insulator
• Large-gap magnetic topological heterostructure formed by subsurface incorporation of a ferromagnetic layer
• Friedel oscillations due to Fermi arcs in Weyl semimetals
• Conductance of a helical edge liquid coupled to a magnetic impurity
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Large anomalous Hall effect in ferromagnetic insulator-topological insulator heterostructures
• Resistance of helical edges formed in a semiconductor heterostructure
• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Chemical potential dependent gap-opening at the Dirac surface states of Bi2Se3 induced by aggregated substitutional Cr atoms
• Emergence of decoupled surface transport channels in bulk insulating Bi2Se3 thin films
• Majorana splitting from critical currents in Josephson junctions
• Large Anomalous Hall Effect in Topological Insulators with Proximitized Ferromagnetic Insulators
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Surface magnetic ordering in topological insulators with bulk magnetic dopants
• Nonlinear spin current generation in noncentrosymmetric spin-orbit coupled systems
• Order parameter in superconductors with non-degenerate bands
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Gyrotropic Hall effect in Berry-curved materials
• One-Dimensional Edge States with Giant Spin Splitting in a Bismuth Thin Film
• Spin-helical transport in normal and superconducting topological insulators
• Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
• Shift charge and spin photocurrents in Dirac surface states of topological insulator
• Fractional ac Josephson effect in unconventional superconductors
• Induced superconductivity in the three-dimensional topological insulator HgTe
• Quantum Kinetic Theory of the Chiral Anomaly
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Spontaneous breakdown of topological protection in two dimensions
• Influence of Topological Edge States on the Properties of Al/Bi2Se3/Al Hybrid Josephson Devices
• Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field
• Fermi-Level Pinning, Charge Transfer, and Relaxation of Spin-Momentum Locking at Metal Contacts to Topological Insulators
• Electrically tuned magnetic order and magnetoresistance in a topological insulator
• Quantum interference of edge supercurrents in a two-dimensional topological insulator
• Spontaneous Edge Accumulation of Spin Currents in Finite-Size Two-Dimensional Diffusive Spin-Orbit Coupled SFS Heterostructures
• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Enhanced electron dephasing in three-dimensional topological insulators
• RKKY Interaction On Surfaces of Topological Insulators With Superconducting Proximity Effect
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Nonuniform states in noncentrosymmetric superconductors
• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
• Relativistic k.p Hamiltonians for centrosymmetric topological insulators from ab initio wave functions
• Current-phase relation for Josephson effect through helical metal
• Intrinsic Spin Hall Effect in the presence of Extrinsic Spin-Orbit Scattering
• Anomalous Hall response of topological insulators
• Proximity effect with noncentrosymmetric superconductors
• In-Plane Magnetization Induced Quantum Anomalous Hall Effect in Atomic Crystals of Group-V Elements
• Solution to the hole-doping problem and tunable quantum Hall effect in Bi${}_2$Se${}_3$ thin films
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Parity anomaly and spin transmutation in quantum spin Hall Josephson junctions
• Spin-resolved optical conductivity of two-dimensional group-VIB transition-metal dichalcogenides
• Nonlocal topological valley transport at large valley Hall angles
• Spin-Hall effects in a Josephson contact
• Two-dimensional electronic transport on the surface of 3D topological insulators
• Sensitivity of anomalous Hall effect to disorder correlations
• ${\mathbb{Z}}_4$ Parafermions in an interacting quantum spin Hall Josephson junction coupled to an impurity spin
• Magnetoelectric Andreev effect due to proximity-induced non-unitary triplet superconductivity in helical metals
• Spin-orbit scattering in quantum diffusion of massive Dirac fermions
• Spin Orbit Torque in two dimensional Antiferromagnetic Topological Insulators
• Infrared to terahertz optical conductivity of $n$-type and $p$-type monolayer MoS${}_2$ in the presence of Rashba spin-orbit coupling
• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• Fine structure of the local pseudogap and Fano effect for superconducting electrons near a zigzag graphene edge
• Theory of tunneling spectroscopy for chiral topological superconductors
• The Coexistence and Decoupling of Bulk and Edge States in Disordered Two-dimensional Topological Insulators
• Counterflowing edge current and its equilibration in quantum Hall devices with sharp edge potential: Roles of incompressible strips and contact configuration
• Supercurrent generation by spin injection in an s-wave superconductor-Rashba metal bilayer
• Anisotropic conductivity in magnetic topological insulators
• Nonmetallic thermal transport in low-dimensional proximity structures with partially preserved time-reversal symmetry in a magnetic field
• Geometric dependence of Nb-Bi${}_2$Te${}_3$-Nb topological Josephson junction transport parameters
• $8\pi$-periodic dissipationless ac Josephson effect on a quantum spin-Hall edge via a Quantum magnetic impurity
• Multiple Vortex Cores in 2D Electronic Systems with Proximity Induced Superconductivity
• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
• Proximity effect in superconductor/conical magnet heterostructures
• Triplet superconductivity and proximity effect induced by Bloch and Néel domain walls

Cited by in corpus (61)

• Gigantic current control of coercive field and magnetic memory based on nm-thin ferromagnetic van der Waals Fe3GeTe2
• Machine learning for materials discovery: two-dimensional topological insulators
• Generating a topological anomalous Hall effect in a non-magnetic conductor
• Quantum Spin-Valley Hall Kink States: From Concept to Materials Design
• Topological photonics: fundamental concepts, recent developments, and future directions
• Helical Liquids in Semiconductors
• Gate-Controlled Quantum Dots Based on Two-Dimensional Materials
• Longitudinal and anomalous Hall conductivity of a general two-band model
• Two-dimensional natural hyperbolic materials: From polaritons modulation to applications
• Suppression of odd-frequency pairing by phase-disorder in a nanowire coupled to Majorana zero modes
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Topological near-field heat flow in a honeycomb lattice
• Phase-tunable electron transport assisted by odd-frequency Cooper pairs in topological Josephson junctions
• Phase transitions and scale invariance in topological Anderson insulators
• Nonlinear Quantum Electrodynamics in Dirac materials
• Spin-orbit effects in pentavalent Iridates: Models and materials
• Tilted Dirac cones and topological transitions in strained kagome lattices
• Topological superconductivity enhanced by exceptional points
• Abundant surface-semimetal phases in three-dimensional obstructed atomic insulators
• Intrinsic Contribution to Non-linear Thermoelectric Effect
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• Berry curvature-induced local spin polarisation in gated graphene/WTe${}_2$ heterostructures
• Breakdown of helical edge state topologically protected conductance in time-reversal-breaking excitonic insulators
• Quantum corrections to the magnetoconductivity of surface states in three-dimensional topological insulators
• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
• Unidirectional valley-contrasting photo-current in strained transition metal dichalcogenide monolayers
• Breakdown of topological protection due to non-magnetic edge disorder in two-dimensional materials in the Quantum Spin Hall phase
• Giant Rashba spin splitting in strained KTaO3 ultrathin films for circular photogalvanic currents
• Planar Josephson Hall effect in topological Josephson junctions
• Thermodynamics in topological Josephson junctions
• Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes
• Anomalous Temperature Dependence of Quantum Correction to the Conductivity of Magnetic Topological Insulators
• Supergap and subgap enhanced currents in asymmetric {S_1FS_2} Josephson junctions
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• 2D versus 3D-like electrical behavior of MXene thin films: insights from weak localization in the role of thickness, interflake coupling and defects
• Edge spin transport in the disordered two-dimensional topological insulator WTe${}_2$
• Resonant Tunneling Anisotropic Magnetoresistance Induced by Magnetic Proximity
• Diffusive transport in the lowest Landau level of disordered 2d semimetals: the mean-square-displacement approach
• Anomalous Hall signatures of nonsymmorphic nodal lines in doped chromium chalcospinel CuCr${}_2$Se${}_4$
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Two-channel Kondo problem in coupled interacting helical liquids
• Spin-orbit torques due to topological insulator surface states: an in-plane magnetization as a probe of extrinsic spin-orbit scattering
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Layer dependent topological phases and transitions in TaRhTe${}_4$: From monolayer and bilayer to bulk
• Unidirectional magneto-transport of linearly dispersing topological edge states
• Topological Pathways to Two-Dimensional Quantum Turbulence
• Bulk photogalvanic current control and gap spectroscopy in 2D hexagonal materials
• Kondo-coupled van der Waals antiferromagnet with high-mobility quasiparticles
• Quadrupolar photovoltaic effect in the terahertz range in a two-dimensional spin-3/2 hole system
• Realizing tunable Fermi level in SnTe by defect control
• Interfaces of nodal-line semimetals: drum states, transport and refraction
• Giant resonant skew scattering of plasma waves in a two-dimensional electron gas
• Magnetic interactions of 4$f$ electrons in the topological insulator chalcogenide Bi${}_2$Se${}_3$
• Magneto-transport evidence for strong topological insulator phase in ZrTe5
• Influence of Device Geometry on Transport Properties of Topological Insulator Microflakes
• Chiral Majorana Fermions in two dimensional square lattice antiferromagnet with proximity-induced superconductivity
• Topology as a Design Variable for Multiproperty Engineering in Synthesized 4-5-6-8 Carbon Nanoribbons
• Topological electronic states and thermoelectric transport at phase boundaries in single-layer WSe${}_2$: An effective Hamiltonian theory
• Scanning tunneling microscopy of Bi${}_2$Te${}_3$ films prepared by pulsed laser deposition: from nanocrystalline structures to van der Waals epitaxy
• Nonequilibrium Green's function approach to multi-band Cooper-pair transport: linear magnetoresistance effect due to nonunitary superconductivity