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Moiré versus Mott: Incommensuration and Interaction in One-Dimensional Bichromatic Lattices

Moiré versus Mott: Incommensuration and Interaction in One-Dimensional Bichromatic Lattices

Inspired by the rich physics of twisted 2D bilayer moir\'e systems, we study Coulomb interacting systems subjected to two overlapping finite 1D lattice potentials of unequal periods through exact numerical diagonalization. Unmatching underlying lattice periods lead to a 1D bichromatic ``moir\'e'' superlattice with a large unit cell and consequently a …