Bosonic t-J Model in a stacked triangular lattice and its phase diagram

Abstract

In this paper, we study phase diagram of a system of two-component hard-core bosons with nearest-neighbor (NN) pseudo-spin antiferromagnetic (AF) interactions in a stacked triangular lattice. Hamiltonian of the system contains three parameters one of which is the hopping amplitude $t$ between NN sites, and the other two are the NN pseudo-spin exchange interaction $J$ and the one that measures anisotropy of pseudo-spin interactions. We investigate the system by means of the Monte-Carlo simulations and clarify the low-temperature phase diagram. In particular, we are interested in how the competing orders, i.e., AF order and superfluidity, are realized, and also whether supersolid forms as a result of hole doping into the state of the $\sqrt{3}\times \sqrt{3}$ pseudo-spin pattern with the $120^o$ structure.

18 pages, 17 figures, Version to appear in J.Phys.Soc.Jpn

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Cited by in corpus (5)

• Two-species hard-core bosons on the triangular lattice: A quantum Monte Carlo study
• Stacked triangular lattice: Percolation properties
• Superfluidity and solid orders in two-component Bose gas with dipolar interactions in an optical lattice
• Effective field theories for two-component repulsive bosons on lattice and their phase diagrams
• Effective field theory for two-species bosons in an optical lattice: Multiple order, the Nambu-Goldstone bosons, the Higgs mode and vortex lattice