Three-Dimensional Topological Insulator in a Magnetic Field: Chiral Side Surface States and Quantized Hall Conductance

Abstract

Low energy excitation of surface states of a three-dimensional topological insulator (3DTI) can be described by Dirac fermions. By using a tight-binding model, the transport properties of the surface states in a uniform magnetic field is investigated. It is found that chiral surface states parallel to the magnetic field are responsible to the quantized Hall (QH) conductance $(2n+1)\frac{e^2}{h}$ multiplied by the number of Dirac cones. Due to the two-dimension (2D) nature of the surface states, the robustness of the QH conductance against impurity scattering is determined by the oddness and evenness of the Dirac cone number. An experimental setup for transport measurement is proposed.

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• Quantum transport of two-species Dirac fermions in dual-gated three-dimensional topological insulators
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Edge states and integer quantum Hall effect in topological insulator thin films
• Robust Transport Signatures of Topological Superconductivity in Topological Insulator Nanowires
• Electronic States of Wires and Slabs of Topological Insulators: Quantum Hall Effects and Edge Transport
• Spin-based Mach-Zehnder interferometry in topological insulator p-n junctions
• Reversal of thermoelectric current in tubular nanowires
• Quantum Hall Edge States in Topological Insulator Nanoribbons
• Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones
• Interaction between counter-propagating quantum Hall edge channels in the 3D topological insulator BiSbTeSe${}_2$
• Conductance fluctuations and disorder induced $\nu =0$ quantum Hall plateau in topological insulator nanowires
• Crossed Andreev reflection in topological insulator nanowire T-junctions
• Conduction of surface electrons in a topological insulator with spatially random magnetization
• Thermoelectric current in topological insulator nanowires with impurities
• Theory of magnetotransport in shaped topological insulator nanowires
• Resistively detected NMR as a probe of the topological nature of conducting edge/surface states
• Anisotropic transport properties in prismatic topological insulator nanowires
• Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response
• A spintronic analog of the Landauer residual resistivity dipole on the surface of a disordered topological insulator