(a), (b), (d), and (e) Normalized localization length Λ = λ (L)/L versus disorder strength W for different masses mz [lines in panel (c)], λ(L) is the localization length of a long bar sample with cross section L × L. An increase in Λ with L signals a metal phase, while a decrease with L signals an insulator phase. When Λ is independent of L, this signals a critical point of the phase transition. (c) Phase diagram in the W–mz plane. The symbols guided by the solid lines were obtained from the normalized localization length. The dashed blue lines are the phase boundaries determined using the SCBA. In a finite layer sample, the 3D QAH, WSM and diffusive anomalous Hall metal phases are distinguished by its Hall conductance being quantized and equivalent to layer number, being quantized, and being non-quantized, respectively. Adapted from Ref. [35]. |