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Edge States and Topological Phases in One-Dimensional Optical Superlattices

Edge States and Topological Phases in One-Dimensional Optical Superlattices

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on the optical superlattice is a topological insulator characterized by a nonzero topological invariant. The topological …