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.

Invited review for special issue "Focus on Quantum Spin Liquids"

References in corpus (15)

• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• On the stability of U(1) spin liquids in two dimensions
• Spin-orbit coupled Bose-Einstein condensates
• The critical exponents of the superfluid transition in He4
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Interaction effects and quantum phase transitions in topological insulators
• D-wave correlated Critical Bose Liquids in two dimensions
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• Plaquette valence-bond ordering in J_1-J_2 Heisenberg antiferromagnet on the honeycomb lattice
• The fidelity approach to the Hubbard model
• Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms
• Fidelity and superconductivity in two-dimensional t-J models
• Full counting statistics of the interference contrast from independent Bose-Einstein condensates

Cited by in corpus (3)

• The frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ isotropic $XY$ model on the honeycomb lattice
• Phase diagram of a frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ $XXZ$ model on the honeycomb lattice
• Possible phases of the spin-$1/2$ $XXZ$ model on a honeycomb lattice by boson-vortex duality