Conductance fluctuations and disorder induced $\nu =0$ quantum Hall plateau in topological insulator nanowires

Abstract

Clean topological insulators exposed to a magnetic field develop Landau levels accompanied by a nonzero Hall conductivity for the infinite slab geometry. In this work we consider the case of disordered topological insulator nanowires and find, in contrast, that a zero Hall plateau emerges within a broad energy window close to the Dirac point. We numerically calculate the conductance and its distribution for a statistical ensemble of disordered nanowires, and use the conductance fluctuations to study the dependence of the insulating phase on system parameters, such as the nanowire length, disorder strength and the magnetic field.

arXiv comment7 pages, 7 figures

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• Quantized Fermi-arc-mediated transport in Weyl semimetal nanowires
• Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
• Suppression of scattering in quantum confined 2D-helical Dirac systems
• Strain-gradient induced topological transition in bent nanoribbons of the Dirac semimetal Cd3As2
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Thermoelectric current in topological insulator nanowires with impurities
• Transport in topological insulator nanowires
• Anisotropic transport properties in prismatic topological insulator nanowires
• Aharanov-Bohm oscillations and perfectly transmitted mode in amorphous topological insulator nanowires