Superfluid-Insulator transitions of bosons on Kagome lattice at non-integer fillings

Abstract

We study the superfluid-insulator transitions of bosons on the Kagome lattice at incommensurate filling factors f=1/2 and 2/3 using a duality analysis. We find that at f=1/2 the bosons will always be in a superfluid phase and demonstrate that the T_3 symmetry of the dual (dice) lattice, which results in dynamic localization of vortices due to the Aharanov-Bohm caging effect, is at the heart of this phenomenon. In contrast, for f=2/3, we find that the bosons exhibit a quantum phase transition between superfluid and translational symmetry broken Mott insulating phases. We discuss the possible broken symmetries of the Mott phase and elaborate the theory of such a transition. Finally we map the boson system to a XXZ spin model in a magnetic field and discuss the properties of this spin model using the obtained results.

arXiv comment10 pages, 8 figures, a few typos corrected

References in corpus (15)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
• Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
• The superconductor-insulator transition in 2D dirty boson systems
• Two-dimensional periodic frustrated Ising models in a transverse field
• Putting competing orders in their place near the Mott transition
• How to escape Aharonov-Bohm cages ?
• Charge modulation, spin response, and dual Hofstadter butterfly in high-Tc cuprates
• Quantum kagome antiferromagnet in a magnetic field: Low-lying non-magnetic excitations versus valence-bond crystal order
• A model of phase fluctuations in a lattice d-wave superconductor: application to the Cooper pair charge-density-wave in underdoped cuprates
• Competing orders II: the doped quantum dimer model
• Superfluid-Insulator Transitions on the Triangular Lattice
• Competing Orders and non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott transitions

Cited by in corpus (19)

• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Vison states and confinement transitions of Z2 spin liquids on the kagome lattice
• Phase Diagram of Interacting Bosons on the Honeycomb Lattice
• SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• A striped supersolid phase and the search for deconfined quantum criticality in hard-core bosons on the triangular lattice
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Devil's staircases, quantum dimer models, and stripe formation in strong coupling models of quantum frustration
• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
• Quantum phases, Supersolids and quantum phase transitions of interacting bosons in frustrated lattices
• A Large-$S$ Study of Quantum Kagome Ice
• Characterizing symmetry breaking patterns in a lattice by dual vortex degree of freedoms
• Bose-Hubbard model on a star lattice
• Low temperature ordering in easy-axis $S=1$ kagome and triangular lattice antiferromagnets
• Strong coupling expansion for bosons on the kagome lattice
• Commensurate lock-in and incommensurate supersolid phases of hardcore bosons on anisotropic triangular lattices
• Detecting non-magnetic excitations in quantum magnets