I'm going to take a wild guess that it has something to do with electron de broglie wavelength somehow being resonant in certain lattice structures. Twists in g

I'm going to take a wild guess that it has something to do with electron de broglie wavelength somehow being resonant in certain lattice structures. Twists in graphene layers are known to create a morie pattern giving it a quasi-periodic structure at much higher length scales than simple atomic lattices. This is likely related.