Quantum phases of hard-core bosons in a frustrated honeycomb lattice

Abstract

Using exact diagonalization calculations, we investigate the ground-state phase diagram of the hard-core Bose-Hubbard-Haldane model on the honeycomb lattice. This allows us to probe the stability of the Bose-metal phase proposed in Varney et al (2011 Phys. Rev. Lett. 107 077201), against various changes in the originally studied Hamiltonian.

arXiv commentInvited review for special issue "Focus on Quantum Spin Liquids"

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Cited by in corpus (17)

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• The frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ isotropic $XY$ model on the honeycomb lattice
• Spiral antiferromagnets beyond the spin-wave approximation: frustrated $XY$ and Heisenberg models in the honeycomb lattice
• Metallic state in bosonic systems with continuously degenerate minima
• Phase diagram of a frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ $XXZ$ model on the honeycomb lattice
• Nature of the phases in the frustrated XY model on the honeycomb lattice
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Quantum phase diagram and chiral spin liquid in the extended spin-$\frac{1}{2}$ honeycomb XY model
• Phase diagrams of Bose-Hubbard model and antiferromagnetic spin-1/2 models on a honeycomb lattice
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• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• Designs of magnetic atom-trap lattices for quantum simulation experiments
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• Infinite critical boson non-Fermi liquid on heterostructure interfaces
• Possible phases of the spin-$1/2$ $XXZ$ model on a honeycomb lattice by boson-vortex duality
• Topological hard-core bosons on the honeycomb lattice