Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states

Abstract

We study transport properties of a topological insulator nanowire when a magnetic field is applied along its length. We predict that with strong surface disorder, a characteristic signature of the band topology is revealed in Aharonov Bohm (AB) oscillations of the conductance. These oscillations have a component with anomalous period ${\Phi }_0=hc/e$, and with conductance maxima at odd multiples of $\frac{1}{2}{\Phi }_0$, i.e. when the AB phase for surface electrons is $\pi$. This is intimately connected to the band topology and a surface curvature induced Berry phase, special to topological insulator surfaces. We discuss similarities and differences from recent experiments on Bi${}_2$Se${}_3$ nanoribbons, and optimal conditions for observing this effect.

arXiv comment7 pages, 2 figures

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