Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones

Abstract

Magnetotransport through cylindrical topological insulator (TI) nanowires is governed by the interplay between quantum confinement and geometric (Aharonov-Bohm and Berry) phases. Here, we argue that the much broader class of TI nanowires with varying radius -- for which a homogeneous coaxial magnetic field induces a varying Aharonov-Bohm flux that gives rise to a non-trivial mass-like potential along the wire -- is accessible by studying its simplest member, a TI nanocone. Such nanocones allow to observe intriguing mesoscopic transport phenomena: While the conductance in a perpendicular magnetic field is quantized due to higher-order topological hinge states, it shows resonant transmission through Dirac Landau levels in a coaxial magnetic field. Furthermore, it may act as a quantum magnetic bottle, confining surface Dirac electrons and leading to a largely interaction-dominated regime of Coulomb blockade type. We show numerically that the above-mentioned effects occur for experimentally accessible values of system size and magnetic field, suggesting that TI nanocone junctions may serve as building blocks for Dirac electron optics setups.

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Cited by in corpus (14)

• Electronic materials with nanoscale curved geometries
• Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
• Landau levels in curved space realized in strained graphene
• Electronic transport in bent carbon nanotubes
• Transport study of the wormhole effect in three-dimensional topological insulators
• Floquet higher-order topological phases in momentum space
• Theory of magnetotransport in shaped topological insulator nanowires
• Confinement versus interface bound states in spin-orbit coupled nanowires
• Large positive magnetoconductance in carbon nanoscrolls
• Anisotropic transport properties in prismatic topological insulator nanowires
• Aharanov-Bohm oscillations and perfectly transmitted mode in amorphous topological insulator nanowires
• Parallel spin transport and holonomy in non-Euclidean curved circuits on a spherical two-dimensional electron gas
• Hearing the shape of a Dirac drum: Dual quantum Hall states on curved surfaces
• Electronic confinement of surface states in a topological insulator nanowire