Fig. 2.
High-order magnetic Bloch states. (A) σxx as a function of B expressed in units, ϕ0/ϕ. (Inset) Same data on a logarithmic scale to emphasize weak features; the same horizontal axes. (B) σxx(ϕ0/ϕ,n) for high electron doping in B up to 30 T (ϕ > ϕ0) where fractal features are most visible. Logarithmic gray scale: white 0.05 mS; black 5 mS. (C) Second derivative d2σxx/dB2 of the data in B. Gray scale: white 0 mS/T2; black −0.05 mS/T2. (D) Same as in C but using another data set obtained in B up to 15 T. The black, red, blue, and green arrows mark fractions with p = 1, 2, 3, and 4, respectively. The schematic in D illustrates the fractal state ϕ/ϕ0 = 2/5, which involves an extended unit cell of five original moiré unit cells that share two flux quanta between them.