Hard-core bosons in one-dimensional interacting topological bands

Abstract

We study the hard-core bosons in one-dimensional (1D) interacting topological bands at different filling factors using exact diagonalization. At the filling factor $\nu =1$ and in the presence of on-site Hubbard interaction, we find no sign of the existence of the bosonic topological phase, which is in contrast to the fermionic case. Instead by studying the momentum distribution and the condensate fraction we find a superfluid (SF) to Mott-insulator transition driven by the Hubbard interaction. At the filling factor $\nu =1/3$ and in the presence of longer-ranged interactions, we identify the bosonic fractional topological phase (FTP) whose ground-states are characterized by the three-fold degeneracy and quantized total Berry phase, which is very similar to the fermionic case. Finally we discuss the reason of the different behaviors of hard-core bosons at different filling factors by mapping them to spinless fermions. Our these results can be realized in cold-atom experiments.

PHYSICAL REVIEW A 86, 055604 (2012), brief report

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Topological Mott Insulators
• Fractional quantum Hall effect in the absence of Landau levels
• Simplified topological invariants for interacting insulators
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Interaction effects and quantum phase transitions in topological insulators
• Mott Physics on Helical Edges of 2D Topological Insulators
• Interaction effects on 1D fermionic symmetry protected topological phases

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• Dimensional evolution between one- and two-dimensional topological phases
• Dimerization, Trimerization and Quantum pumping
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Topological self-organization of strongly interacting particles
• Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
• Entanglement and edge effects in superpositions of many-body Fock states with spatial constraints
• The $\pi$ Berry Phase and Topological Excitation in Interacting Boson-Fermion Mixtures
• Topological bosonic states on ribbons of honeycomb lattice