Chiral Hall effect in the kink states in topological insulators with magnetic domain walls

Abstract

In this article we consider the chiral Hall effect due to topologically protected kink states formed in topological insulators at boundaries between domains with differing topological invariants. Such systems include the surfaces of three dimensional topological insulators magnetically doped or in proximity with ferromagnets, as well as certain two dimensional topological insulators. We analyze the equilibrium charge current along the domain wall and show that it is equal to the sum of counter-propagating equilibrium currents flowing along external boundaries of the domains. In addition, we also calculate a dissipative current along the domain wall when an external voltage is applied perpendicularly to the wall.

arXiv comment6 pages, 4 figures

References in corpus (35)

• Topological Insulators
• Topological insulators and superconductors
• Anomalous Hall effect
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Spin Transfer Torque Generated by the Topological Insulator Bi_2Se_3
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Magnetic impurities on the surface of a topological insulator
• Band structure engineering in (Bi1-xSbx)2Te3 ternary topological insulators
• Precise quantization of anomalous Hall effect near zero magnetic field
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Current-nonlinear Hall effect and spin-orbit torque magnetization switching in a magnetic topological insulator
• Quantized chiral edge conduction on reconfigurable domain walls of a magnetic topological insulator
• Thin-Film Magnetization Dynamics on the Surface of a Topological Insulator
• Large Anomalous Hall Effect in Topological Insulators with Proximitized Ferromagnetic Insulators
• Surface magnetic ordering in topological insulators with bulk magnetic dopants
• Current induced magnetization reversal on the surface of a topological insulator
• Record-High Proximity-Induced Anomalous Hall Effect in (Bi${}_x$Sb${}_{1-x}$)2Te${}_3$ Thin Film Grown on CrGeTe${}_3$ Substrate
• Unusual magnetoresistance in a topological insulator with a single ferromagnetic barrier
• Antidamping spin-orbit torque driven by spin-flip reflection mechanism on the surface of a topological insulator: A time-dependent nonequilibrium Green function approach
• Domain wall of a ferromagnet on a three-dimensional topological insulator
• Improved Domain Wall Dynamics and Magnonic Torques using Topological Insulators
• Inducing magnetism onto the surface of a topological crystalline insulator
• Domain Wall Motion in Thin-Film Magnets/ Topological Insulator Junctions
• Chiral two-dimensional electron gas in a periodic magnetic field
• Dirac electrons and domain walls: a realization in junctions of ferromagnets and topological insulators
• Graphene in periodically alternating magnetic field: unusual quantization of the anomalous Hall effect
• Strong thermalization of the two-component Bose-Hubbard model at finite temperatures
• Scanning tunneling microscopy of superconducting topological surface states in Bi${}_2$Se${}_3$
• Thermodynamics of localized magnetic moments in a Dirac conductor
• Transmission of charge and spin in a topological-insulator-based magnetic structure

Cited by in corpus (6)

• Quantum Spin-Valley Hall Kink States: From Concept to Materials Design
• Spectral features of magnetic domain walls on surface of 3D topological insulators
• Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall
• Chiral edge transport along domain walls in magnetic topological insulator nanoribbons
• Magnetic-flux tunable electronic transport through domain walls in a three-dimensional second-order topological insulator
• Chiral electronic network within skyrmionic lattice on topological insulator surfaces