Two-species hard-core bosons on the triangular lattice: A quantum Monte Carlo study

Abstract

Using worm-type quantum Monte Carlo simulations, we investigate bosonic mixtures on the triangular lattice of two species of bosons, which interact via nearest-neighbour intraspecies ($V$) and onsite interspecies ($U$) repulsions. For the case of symmetric hopping amplitude ($t_A/V=t_B/V$) and $U/V=1$, we determine a rich ground-state phase diagram that contains double solid, double superfluid (2SF), supersolid (SS), solid-superfluid (Solid-SF) and counterflow supersolid (CSS) states. The SS, Solid-SF and CSS states exhibit spontaneous symmetry breaking among the three sublattices of the triangular lattice and between the two species, which leads to nonzero crystalline density wave order in each species. We furthermore show that the CSS and the SS states are present for $t_A/V\ne t_B/V$, and the latter even survives up to $t_A/V\to \infty$ or $t_B/V\to \infty$ limit. The effects induced by the variation of $U/V$ and by the imbalance of particle numbers of the two species are also explored.

7 pages, 9 figures

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• Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• Worm quantum Monte-Carlo study of phase diagram of extended Jaynes-Cummings-Hubbard model
• Exotic Haldane Superfluid Phase of Soft-Core Bosons in Optical Lattices
• First-order, continuous, and multicritical Bose-Einstein condensation in Bose mixtures
• Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model
• Phase diagram of two-component mean-field Bose mixtures
• Ferromagnetic phase in the polarized two-species bosonic Hubbard Model