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• W1769347656 abstract "We study the extended Bose-Hubbard model on a two-dimensional honeycomb lattice by using large-scale quantum Monte Carlo simulations. We present the ground-state phase diagrams for both the hard-core and the soft-core bosons. For the hard-core case, the transition between the $ensuremath{rho}=1∕2$ solid and the superfluid is first order, and the supersolid state is unstable toward phase separation. For the soft-core case, due to the presence of multiple occupation, a stable particle-induced supersolid (SS-p) phase emerges when $1∕2<ensuremath{rho}<1$. The transition from the solid at $ensuremath{rho}=1∕2$ to the SS-p phase is second order with the superfluid density scaling as ${ensuremath{rho}}_{s}ensuremath{sim}ensuremath{rho}ensuremath{-}1∕2$. The SS-p phase has the same diagonal order as the solid at $ensuremath{rho}=1∕2$. As the chemical potential increases further, the SS-p phase turns into a solid where two bosons occupy each site of one sublattice through a first-order transition. We also calculate the critical exponents of the transition between the $ensuremath{rho}=1∕2$ solid and superfluid at the Heisenberg point for the hard-core case. We find the dynamical critical exponent $z=0.15$, which is smaller than results obtained on smaller lattices. This indicates that $z$ approaches zero in the thermodynamic limit, and thus the transition is also first order even at the Heisenberg point." @default.
• W1769347656 created "2016-06-24" @default.
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• W1769347656 date "2007-06-15" @default.
• W1769347656 modified "2023-10-18" @default.
• W1769347656 title "Extended Bose-Hubbard model on a honeycomb lattice" @default.
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• W1769347656 doi "https://doi.org/10.1103/physrevb.75.214509" @default.
• W1769347656 hasPublicationYear "2007" @default.
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