Fig. 6: The Landau levels.
From: Dodecagonal bilayer graphene quasicrystal and its approximants

a Hofstadter’s butterflies of 41/71 approximant with magnetic field less than 50 T. Upper and lower panels correspond to the energy regions of −1.0 \(\sim\) 1.0 eV and −2.0 \(\sim\) −1.5 eV, respectively. Color bar stands for the value of DOS. The blue numbers in the lower panel indicate the indexes of the corresponding Landau levels. b The DOS of 41/71 approximant (left) and Landau levels fitting (right) under a 50 T magnetic field. The inset is the zoom in of the new emerging Landau levels in the energy range about −2.0 \(\sim\) −1.6 eV. For the Landau levels fitting, the top and middle panels correspond to the Landau levels of the holes and electrons, respectively, in the vicinity of the Fermi energy, and the bottom panel corresponds to the Landau levels in the inset.