Fractional-filling Mott domains in two dimensional optical superlattices

Abstract

Ultracold bosons in optical superlattices are expected to exhibit fractional-filling insulating phases for sufficiently large repulsive interactions. On strictly 1D systems, the exact mapping between hard-core bosons and free spinless fermions shows that any periodic modulation in the lattice parameters causes the presence of fractional-filling insulator domains. Here, we focus on two recently proposed realistic 2D structures where such mapping does not hold, i.e. the two-leg ladder and the trimerized kagome' lattice. Based on a cell strong-coupling perturbation technique, we provide quantitatively satisfactory phase diagrams for these structures, and give estimates for the occurrence of the fractional-filling insulator domains in terms of the inter-cell/intra-cell hopping amplitude ratio.

arXiv comment4 pages, 3 figures

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Cited by in corpus (22)

• Cold Bosons in Optical Lattices
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Ultracold bosons with short-range interaction in regular optical lattices
• Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
• Quantum phases of bosons in double-well optical lattices
• Quantum phases in tunable state-dependent hexagonal optical lattices
• Twisted complex superfluids in optical lattices
• Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields
• Superconducting circuit simulator of Bose-Hubbard model with a flat band
• Hanbury Brown-Twiss Interferometry for Fractional and Integer Mott Phases
• Cluster Gutzwiller study of Bose-Hubbard ladder: ground-state phase diagram and many-body Landau-Zener dynamics
• Ultracold bosons in disordered superlattices: Mott-insulators induced by tunneling
• Generalized Effective Potential Landau Theory for Bosonic Quadratic Superlattices
• Spatial Coherence of a Strongly Interacting Bose Gas in the Trimerized Kagome Lattice
• Tunable anisotropic superfluidity in an optical kagome superlattice
• Incompressible states of a two-component Fermi gas in a double-well optical lattice
• Cluster Mean-Field Signature of Entanglement Entropy in Bosonic Superfluid-Insulator Transitions
• The $\pi$ Berry Phase and Topological Excitation in Interacting Boson-Fermion Mixtures
• Charge Gaps at Fractional Fillings in Boson Hubbard Ladders
• Effective tight-binding models in optical moiré potentials
• Ground-state phase diagram of two-component interacting bosons on a two-leg ladder
• The influence of sublattice bias on superfluid to Mott insulator transitions