At a critical interlayer coupling, a twisted bilayer honeycomb optical lattice develops an isolated topological flat band at the Dirac point over a wide range of twist angles, while stronger coupling generates trivial flat bands.
Luet al., Superconductors, orbital magnets and corre- lated states in magic-angle bilayer graphene, Nature574, 653 (2019)
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Topologically nontrivial and trivial flat bands via weak and strong interlayer coupling in twisted bilayer honeycomb optical lattices for ultracold atoms
At a critical interlayer coupling, a twisted bilayer honeycomb optical lattice develops an isolated topological flat band at the Dirac point over a wide range of twist angles, while stronger coupling generates trivial flat bands.