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.

5 pages, 4 figures

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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