Global phase diagram of three-dimensional extended Boson Hubbard model - a continuous time Quantum Monte Carlo study

Abstract

We present the global phase diagram of the extended boson Hubbard model on a simple cubic lattice by quantum Monte Carlo simulation with worm update algorithm. Four kinds of phases are supported by this model, including superfluid, supersolid, Mott, and charge density wave (CDW) states, which are identified in the phase diagram of chemical potential $\mu$ versus nearest neighbor interaction V . By changing the chemical potential, a continuous transition is found from the Mott phase to a superfluid phase without breaking the translational symmetry. For an insulating CDW state, adding particles to it gives rise to a continuous transition to a supersolid phase, while removing particles usually leads to a first-order one to either supersolid or superfluid phase. By tuning the nearest neighbor interaction, one can realize the transition between two insulating phases, Mott and CDW with the same particle density, which turns out to be of the first-order. We also demonstrate that a supersolid phase with average particle density less than 1/2 can exist in a small region of $\mu$ - V phase diagram.

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• Commensurate Supersolid of Three-Dimensional Lattice Bosons
• Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field
• Quantum phases of hard-core bosons on 2D lattices with anisotropic dipole-dipole interaction
• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Spin supersolid phase in coupled alternating spin chains
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
• Three-body interacting dipolar bosons and the fate of lattice supersolidity
• Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions
• Phase Stability in the Two dimensional Anisotropic Boson Hubbard Hamiltonian
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model