Transport in topological insulator nanowires

In this chapter we review our work on the theory of quantum transport in topological insulator nanowires. We discuss both normal state properties and superconducting proximity effects, including the effects of magnetic fields and disorder. Throughout we assume that the bulk is insulating and inert, and work with a surface-only theory. The essential transport properties are understood in terms of three special modes: in the normal state, half a flux quantum along the length of the wire induces a perfectly transmitted mode protected by an effective time reversal symmetry; a transverse magnetic field induces chiral modes at the sides of the wire, with different chiralities residing on different sides protecting them from backscattering; and, finally, Majorana zero modes are obtained at the ends of a wire in a proximity to a superconductor, when combined with a flux along the wire. Some parts of our discussion have a small overlap with the discussion in the review [Bardarson and Moore, Rep. Prog. Phys., 76, 056501, (2013)]. We do not aim to give a complete review of the published literature, instead the focus is mainly on our own and directly related work.Comment: 22 pages, 8 figures; Chapter in "Topological Matter. Springer Series in Solid-State Sciences, vol 190. Springer

Gate-tuned quantum oscillations of topological surface states in β-Ag2Te

We report the strong experimental evidence of the existence of topological surface states with large electric field tunability and mobility in β-Ag(2)Te. Pronounced 2D Shubnikov-de Haas oscillations have been observed in β-Ag(2)Te nanoplates. A Berry phase is determined to be near π using the Landau level fan diagram for a relatively wide nanoplate while the largest electric field ambipolar effect in topological insulator so far (~2500%) is observed in a narrow nanoplate. The π Berry phase and the evolution of quantum oscillations with gate voltage (V(g)) in the nanoplates strongly indicate the presence of topological surface states in β-Ag(2)Te. Moreover, the mobility of the narrow Ag(2)Te nanoplate is about several thousand cm(2)s(−1)V(−1). Our results suggest that β-Ag(2)Te has the potential to become an important material in the investigation of topological insulators

Thermal and Electrical Conduction of Single-crystal Bi2Te3 Nanostructures grown using a one step process

Single-crystal Bi2Te3 nanowires (NWs) and nanoribbons (NRs) were synthesized by a vapor-liquid-solid (VLS) method from Bi2Te3 powder. To investigate the thermal properties of the Bi2Te3 nanostructure, a nondestructive technique based on temperature dependent Raman mapping was carried out. The Raman peaks were red shifted with increasing temperature. In addition, the fraction of the laser power absorbed inside the Bi2Te3 nanostructures was estimated by optical simulation and used to calculate the thermal conductivity value (kappa). The thermal conductivity value obtained for the Bi2Te3 NW and NR was 1.47 Wm(-1)K(-1) and 1.81 Wm(-1)K(-1) at 300 K, respectively. The electrical conductivity of the Bi2Te3 nanostructure was also measured. In particular, an excellent electrical conductivity value of 1.22 star 10(3) Omega(-1) cm(-1) was obtained for the Bi2Te3 NW at 300 K. This result can be attributed to topological insulator surface states. As a result of our study, the figure of merit (ZT) for the Bi2Te3 NW and NR can be significantly improved