Successive phase transitions at finite temperatures of the supersolid in the three-dimensional extended Bose-Hubbard model

Abstract

We study the finite temperature properties of the extended Bose-Hubbard model on a cubic lattice. This model exhibits the so-called supersolid state. To start with, we investigate ordering processes by quantum Monte Carlo simulations, and find successive superfluid and solid phase transitions. There, we find that the two order parameters compete with each other. We obtain the finite temperature phase diagram, which contains the superfluid, the solid, the supersolid and the disordered phase. We develop a mean-field theory to analyze the ordering processes and compare the result with that obtained by simulations, and discuss the mechanism of the competition of these two orders. We also study how the supersolid region shrinks as the on-site repulsion becomes strong.

6 pages, 6 figures

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• Ground-State Phase Diagram of the Two-Dimensional Extended Bose-Hubbard Model
• Finite temperature theory of superfluid bosons in optical lattices
• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Bose-Hubbard model on polyhedral graphs
• Ultracold Bosons on a Regular Spherical Mesh