Fig. 2: Magnetic Bloch states at integer flux quanta induced by super-moiré potential in device D1.

a \({R}_{{xx}}\) as a function of \(B\) and \({n}_{{tot}}\) at 142 K. The fractal features appear at \(B=p({\phi }_{0}/S)\) with \(p=1-9\), \(S\) the area of unit cell, \({\phi }_{0}\) the flux quantum, suggesting the integer BZ oscillations periodic in \(B\). Inset is the same data but plotted in a narrower \({n}_{{tot}}\) range and brighter color filling. b Second derivative \(\varDelta {R}_{{xx}}={\partial }^{2}{R}_{{xx}}/\partial {B}^{2}\) of the same data in a, plotted as a function of normalized magnetic field \(\phi /{\phi }_{0}\) and \({n}_{{tot}}\), which removes the smooth background and highlights the oscillating features. c \(\varDelta {R}_{{xx}}\) as function of \(\phi /{\phi }_{0}\) at fixed \({n}_{{tot}}=4.15\times {10}^{12}\) cm^–2, which is a line cut from b marked by the blue arrow. The integer BZ oscillations periodic in \(B\) are clearly seen and the \(B\) spacing of \(\varDelta B=1.20\) T implies a super-moiré wavelength of ~ 63.2 nm.