Superfluidity of Bosons in Kagome Lattices with Frustration

Abstract

In this letter we consider spinless bosons in a Kagome lattice with nearest-neighbor hopping and on-site interaction, and the sign of hopping is inverted by insetting a π flux in each triangle of Kagome lattice so that the lowest single particle band is perfectly flat. We show that in the high density limit, despite of the infinite degeneracy of the single particle ground states, interaction will select out the Bloch state at the K point of Brillouin zone for boson condensation at the lowest temperature. As temperature increases, the single boson superfluid order can be easily destroyed, while an exotic triple-boson paired superfluid order will remain. We establish that this trion superfluid exists in a broad temperature regime until the temperature is increased to the same order of hopping and then the system turns into normal phases. Finally we show that time of flight measurement of momentum distribution and its noise correlation can be used to distinguish these three phases.

4 pages + references, 5 figures

References in corpus (10)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
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• Bose condensation in flat bands
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• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions

Cited by in corpus (10)

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• Interaction-Enhanced Group Velocity of Bosons in the Flat Band of an Optical Kagome Lattice
• Geometric Frustration of Colloidal Dimers on a Honeycomb Magnetic Lattice
• Chiral spin superfluidity and spontaneous spin Hall effect of interacting bosons
• Probing the Flat Band of Optically-Trapped Spin-Orbital Coupled Bose Gases Using Bragg Spectroscopy
• Extended Bose-Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation
• Trimer superfluid and supersolid on two-dimensional optical lattices
• Trimer superfluid induced by photoassocation on the state-dependent optical lattice
• Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas
• Quantum simulation scheme of two-dimensional xy-model Hamiltonian with controllable coupling