Electron localization in ultrathin films of three-dimensional topological insulators
Liao Jian, Shi Gang, Liu Nan, Li Yongqing†,
       

Diffusive transport and weak antilocalization (WAL). (a) Illustration of a time-reversed pair of electron trajectories on a self-crossing loop. Destructive and constructive interferences between them lead to weak antilocalization and weak localization (WL), respectively. (b) Sketch of the band diagram of a topological insulator with Fermi energy EF located in the bulk conduction band. When EF is in the shaded regions, scatterings between the bulk and the surface states make the sample behave like a single-channel system in the phase coherent transport. (c) Extracted α values from fitting the low field magnetoconductivity data to the simplified HLN equation [Eq. (1)], which are nearly independent of the sheet electron density ne. (d) Prefactor α plotted as a function of mobility μ. Panels (c) and (d) are adapted from Ref. [20].