Complete phase diagram and topological properties of interacting bosons in one-dimensional superlattices

Abstract

The interacting bosons in one-dimensional inversion-symmetric superlattices are investigated from the topological aspect. The complete phase diagram is obtained by an atomic-limit analysis and quantum Monte Carlo simulations and comprises three kinds of phases: superfluid, persisted charge-density-wave and Mott insulators, and emergent insulators in the presence of nearest-neighbor hoppings. We find that all emergent insulators are topological, which are characterized by the Berry phase $\pi$ and a pair of degenerate in-gap boundary states. The mechanism of the topological bosonic insulators is qualitatively discussed and the ones with higher fillings can be understood as a $\frac{1}{3}$-filling topological phase on a background of trivial charge-density-wave or Mott insulators.

6 pages, 8 figures. Accelpted for publication in Phys. Rev. B

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Cited by in corpus (4)

• Topological Bogoliubov excitations in inversion-symmetric systems of interacting bosons
• Fractional charge pumping of interacting bosons in one-dimensional superlattice
• Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice
• Simulating bosonic Chern insulators in one-dimensional optical superlattices