Figure 1

Moiré pattern created by two graphene lattices with a relative twist. Top layer $A/B$ sublattice atoms are shown as small blue/cyan (dark/light) spheres and connectors; bottom layer $A/B$ atoms are shown as large red/yellow (dark/light) spheres. A region of $\mathit{AA}$ alignment lies at the center, where each top-layer atom has a neighbor in the bottom layer. The $\mathit{AA}$ region is surrounded by three $\mathit{AB}$- and three $\mathit{BA}$-aligned regions where atoms on only one top-layer sublattice have direct neighbors in the bottom layer. As a consequence, the sublattice symmetry is broken locally.Reuse & Permissions

Figure 2

(a) Effective potential $V^{\mathrm{eff}}$, (b) effective mass $m^{\mathrm{eff}}$, (c) $m^{\mathrm{eff}}$, and (d) $A_y^{\mathrm{eff}}$ of Eq. (7) as functions of $\mathbf{r}\hspace{0.5em}\theta /a$ in greyscale. Scale bars span a unity increment in $\mathbf{r}\hspace{0.5em}\theta /a$. Note the expected sixfold and threefold symmetries of $V^{\mathrm{eff}}$ and $m^{\mathrm{eff}}$, respectively. ${\mathbf{A}}^{\mathrm{eff}}$ transforms as a vector under rotations.Reuse & Permissions