Correlated phases of bosons in the flat lowest band of the dice lattice

Abstract

We study correlated phases occurring in the flat lowest band of the dice lattice model at flux density one half. We discuss how to realize the dice lattice model, also referred to as the T_3 lattice, in cold atomic gases. We construct the projection of the model to the lowest dice band, which yields a Hubbard-Hamiltonian with interaction-assisted hopping processes. We solve this model for bosons in two limits. In the limit of large density, we use Gross-Pitaevskii mean-field theory to reveal time-reversal symmetry breaking vortex lattice phases. At low density, we use exact diagonalization to identify three stable phases at fractional filling factors νof the lowest band, including a classical crystal at ν=1/3, a supersolid state at ν=1/2 and a Mott insulator at ν=1.

5 pages, 4 figures; v2: final published version, title changed

References in corpus (10)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Dynamical control of matter-wave tunneling in periodic potentials
• Fractional Chern Insulator
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Bose condensation in flat bands
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Condensed Groundstates of Frustrated Bose-Hubbard Models
• Vortex-Peierls States in Optical Lattices

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