Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice

Abstract

In this paper, we study a one-dimensional boson system in a superlattice potential.This system is experimentally feasible by using ultracold atomic gases,and attracts much attention these days. It is expected that the system has a topological phase called topological Mott insulator (TMI). We show that in strongly-interacting cases, the competition between the superlattice potential and the on-site interaction leads to various TMIs with non-vanishing integer Chern number. Compared to hard-core case, the soft-core boson system exhibits rich phase diagrams including various non-trivial TMIs. By using the exact diagonalization,we obtain detailed bulk-global phase diagrams including the TMIs with high Chern numbers and also various non-topological phases. We also show that in adiabatic experimental setups, the strongly-interacting bosonic TMIs exhibit the topological particle transfer, i.e., topological charge pumping phenomenon, similarly to weakly-interacting systems. The various TMIs are characterized by topological charge pumping as it is closely related to the Chern number, and therefor the Chern number is to be observed in feasible experiments.

arXiv comment19 pages, 11 figures. Accepted for publication in New Journal of Physics

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• Topological charge pumping of bound bosonic pairs
• Interaction Induced Topological Charge Pump
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• Quantum phases and topological properties of interacting fermions in one-dimensional superlattices
• Topology, edge states, and zero-energy states of ultracold atoms in 1D optical superlattices with alternating onsite potentials or hopping coefficients
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• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• Plateau transitions of spin pump and bulk-edge correspondence
• Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems