Phase diagrams of Bose-Hubbard model and antiferromagnetic spin-1/2 models on a honeycomb lattice

Abstract

Motivated by the recent experimental realization of the Haldane model by ultracold fermions in an optical lattice, we investigate phase diagrams of the hard-core Bose-Hubbard model on a honeycomb lattice. This model is closely related with a spin-1/2 antiferromagnetic (AF) quantum spin model. Nearest-neighbor (NN) hopping amplitude is positive and it prefers an AF configurations of phases of Bose-Einstein condensates. On the other hand, an amplitude of the next-NN hopping depends on an angle variable as in the Haldane model. Phase diagrams are obtained by means of an extended path-integral Monte-Carlo simulations. Besides the AF state, a 120${}^o$-order state, there appear other phases including a Bose metal in which no long-range orders exist.

10 pages, 13 figures, Version to appear in Phys. Rev. A

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• Many-Body Physics with Ultracold Gases
• Interaction effects and quantum phase transitions in topological insulators
• Composite fermion state of spin-orbit coupled bosons
• Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• The frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ isotropic $XY$ model on the honeycomb lattice
• Topological spin ordering via Chern-Simons superconductivity
• Quantum phases of hard-core bosons in a frustrated honeycomb lattice
• Superfluidity and solid orders in two-component Bose gas with dipolar interactions in an optical lattice
• Phase diagram of dipolar hard-core bosons on honeycomb lattice
• Random-field-induced order in bosonic t-J model

Cited by in corpus (5)

• 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
• Self-Organized Bosonic Domain Walls
• Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
• Dynamical current-current correlation in the two-dimensional parabolic Dirac system