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Figure 2

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(a) Form-factor χ of the linear eigenmode of a moiré optical lattice with the largest propagation constant versus θ and V2 at V1=0.1. Yellow dashed lines present the commensurate (periodic) moiré lattices under some of the Pythagorean angles (from left to right) θ=atan(13/84), atan(5/12), atan(8/15), atan(3/4), atan(20/21), and atan(4/3). Eigenmode profiles |Φ| with the largest propagation constant supported by a incommensurate (aperiodic) moiré lattice under twisted non-Pythagorean angle θ=π/4 and with V1=0.1 for different V2 values: V2=0.6 (b) and V2=1.6 (c).

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