Figure 4. Weak anit-localization (WAL) effect in LuPdBi single crystal.

(a) The normalized magnetoresistance (R_xx) in perpendicular magnetic fields (B) at temperature ranging from 2 to 200 K. It shows the WAL feature (sharp dips at around zero magnetic field) persistent until 100 K. (b) The normalized magneto-conductivity (Δσ_xx) plotted in the perpendicular magnetic field component of the magnetic field, Bsinθ, at 10 K. The only perpendicular component dependent features indicate that WAL is induced by 2D surface electrons. Inset: schematic of the measurement setup where θ indicates the angle between the direction of the magnetic field and the current flow in the sample surface. (c) The change of magneto-conductivity (Δσ_xx) at 10 K (blue circle) and its fit to the 2D WAL mode (red line). (d) Temperature dependence of phase coherence length L_φ deduced from the WAL fit under a field limit of 0.3 T (square). The red line shows the fit according to the Eq. (2) with p′ = 1 and p = 2. Inset shows the temperature dependence of the parameter A in the Eq. (1).