Quantum Hall Edge States in Topological Insulator Nanoribbons

Abstract

We present a microscopic theory of the chiral one-dimensional electron gas system localized on the sidewalls of magnetically-doped Bi${}_2$Se${}_3$-family topological insulator nanoribbons in the quantum anomalous Hall effect (QAHE) regime. Our theory is based on a simple continuum model of sidewall states whose parameters are extracted from detailed ribbon and film geometry tight-binding model calculations. In contrast to the familiar case of the quantum Hall effect in semiconductor quantum wells, the number of microscopic chiral channels depends simply and systematically on the ribbon thickness and on the position of the Fermi level within the surface state gap. We use our theory to interpret recent transport experiments that exhibit non-zero longitudinal resistance in samples with accurately quantized Hall conductances.

arXiv comment5 pages, 4 figures

References in corpus (38)

• Topological Insulators
• Topological insulators and superconductors
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• 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
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Quantum anomalous Hall effect and related topological electronic states
• Hedgehog Spin-texture and Berry's Phase tuning in a Magnetic Topological Insulator
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Precise quantization of anomalous Hall effect near zero magnetic field
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Electrically controllable surface magnetism on the surface of topological insulator
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Surface States of Topological Insulators
• Zero-field dissipationless chiral edge transport and the nature of dissipation in the quantum anomalous Hall state
• Thin-Film Magnetization Dynamics on the Surface of a Topological Insulator
• Helical Quantum States in HgTe Quantum Dots with Inverted Band Structures
• Wormhole Effect in a Strong Topological Insulator
• Coincidence of Superparamagnetism and perfect quantization in the Quantum Anomalous Hall state
• Anomalous Edge Transport in the Quantum Anomalous Hall State
• Electronic States of Wires and Slabs of Topological Insulators: Quantum Hall Effects and Edge Transport
• Probing the wavefunction of the surface states in Bi${}_2$Se${}_3$ topological insulator: a realistic tight-binding approach
• Optical properties of magnetically doped ultra-thin topological insulator slabs
• Three-Dimensional Topological Insulator in a Magnetic Field: Chiral Side Surface States and Quantized Hall Conductance
• Edge states of a three-dimensional topological insulator
• Manifestation of axion electrodynamics through magnetic ordering on edges of topological insulator
• In-surface confinement of topological insulator nanowire surface states
• Nonlinear Magneto-Optical and Magnetoelectric Phenomena in Topological Insulator Heterostructures
• Transport in Selectively Magnetically Doped Topological Insulator Wires

Cited by in corpus (12)

• 3D quantum Hall effect of Fermi arcs in topological semimetals
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Systematics of electronic and magnetic properties in the transition metal doped Sb${}_2$Te${}_3$ quantum anomalous Hall platform
• Current-driven instability of quantum anomalous Hall effect in ferromagnetic topological insulators
• Excitonic Gap Formation in Pumped Dirac Materials
• Quantum Transport in Topological Semimetals under Magnetic Fields (II)
• Realization of the Chern insulator and Axion insulator phases in antiferromagnetic $MnTe$-$B{i}_2(Se,Te{)}_3$-$MnTe$ heterostructures
• Importance of van der Waals interactions for ab initio studies of topological insulators
• Quantized Hall conductance in 3D topological nodal-line semimetals without chiral symmetry
• Electronic properties of one-dimensional nanostructures of the Bi${}_2$Se${}_3$ topological insulator
• Surface Reconstructions in Thin-Films of Magnetic Topological Insulator MnBi${}_2$Te${}_4$
• Chiral edge transport along domain walls in magnetic topological insulator nanoribbons