Robustness of perfect transmission and Aharanov-Bohm oscillations in amorphous topological insulator nanowires.

Topological insulator nanowires can host a variety of interesting physics ranging from perfectly transmitted modes and conductance oscillations to weak anti localization. These features are predicted for crystalline models and effective surface theories, which leaves the question of whether this rich physics remains robust to deformations of the lattice structure breaking translation invariance. For amorphous nanowires with ripples in the cross-section, it has been theorized that a perfectly transmitted mode remains at the Dirac point but is lost at finite doping, due to the lack of time-reversal symmetry. In this work we construct a full crystalline model of an amorphous topological insulator nanowire and contrast its physics to the one described in previous models. We analyze the robustness of Aharanov-Bohm oscillations and the perfectly transmitted mode, and explore other regimes induced by the inherent amorphicity of the lattice.