Extended Data Fig. 3. Brown-Zak mappings in aligned devices.

a, Extended range plot of Fig. 2b in the main text for device D1; ∆σ_xx (conductivity minus a smooth background) as a function of B and n_b at T = 60 K. Inset, σ_xx(ϕ₀/ϕ) trace at n_b = 3.53 × 10¹² cm⁻² highlighting higher order Brown-Zak oscillation at ϕ₀/ϕ = 5/2. b, Extended range plot of Fig. 2c in the main text; σ_xx as a function of B and n_b at T = 20 K. Inset, conductivity averaged across a carrier density range n_b = 2.00 to 3.84 × 10¹² cm⁻², ‹σ_xx(n_b)›, plotted as a function of ϕ₀/ϕ showing oscillations continuing down to experimental mapping resolution (B_step = 1 mT). c–h High temperature mappings of σ_xx(n_t, B) (panels c & g) and σ_xx(n_b, B) (panels d & h) for doubly aligned device D3 (c–d) and singly aligned device D2 (g–h). Measurements were conducted at T = 60 K, colour scale black to white is 80 to 190 µS for c & d, 49 to 154 µS for g and 64 to 97 µS for h. Panels e & f show 1^st and 2^nd derivatives, respectively, calculated from d. Horizontal dashed lines show the significant flux fractions $\varphi /{\varphi }_0$ from 1/2 to 1/8 fitted to the data. Colour scale for e is blue to red −40 to 40 µS T⁻¹ and in f is black to white −100 to 100 µS T⁻².