Finite-temperature phase diagram of two-component bosons in a cubic optical lattice: Three-dimensional t-J model of hard-core bosons

Abstract

We study the three-dimensional bosonic t-J model, i.e., the t-J model of "bosonic electrons", at finite temperatures. This model describes the $s=\frac{1}{2}$ Heisenberg spin model with the anisotropic exchange coupling $J_{\perp }=-\alpha J_z$ and doped {\it bosonic} holes, which is an effective system of the Bose-Hubbard model with strong repulsions. The bosonic "electron" operator $B_{r\sigma }$ at the site $r$ with a two-component (pseudo-)spin $\sigma (=1,2)$ is treated as a hard-core boson operator, and represented by a composite of two slave particles; a "spinon" described by a Schwinger boson (CP${}^1$ boson) $z_{r\sigma }$ and a "holon" described by a hard-core-boson field ${\varphi }_r$ as $B_{r\sigma }={\varphi }_r^{†}{z}_{r\sigma }$. By means of Monte Carlo simulations, we study its finite-temperature phase structure including the $\alpha$ dependence, the possible phenomena like appearance of checkerboard long-range order, super-counterflow, superfluid, and phase separation, etc. The obtained results may be taken as predictions about experiments of two-component cold bosonic atoms in the cubic optical lattice.

8 pages, 14 figures, Size of figures has been adjusted

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• Many-Body Physics with Ultracold Gases
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• Phase diagram of anisotropic boson t-J model
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• Four-dimensional CP${}^1+$ U(1) lattice gauge theory for 3D antiferromagnets: Phase structure, gauge bosons and spin liquid
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• Superfluidity and solid orders in two-component Bose gas with dipolar interactions in an optical lattice
• Analysis and resolution of the ground-state degeneracy of the two-component Bose-Hubbard model
• Effective field theories for two-component repulsive bosons on lattice and their phase diagrams
• Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
• Bosonic t-J Model in a stacked triangular lattice and its phase diagram
• Superfluid, Supersolid and Checkerboard Solid in Two-Component Bosons in an Optical Lattice: Study by Means of Gross-Pitaevskii Theory and Monte-Carlo Simulations
• Random-field-induced order in bosonic t-J model
• Counterflow of lattice polarons in harmonically confined optical lattices
• Double Supersolid Phase in a Bosonic t-J-V Model with Rydberg Atoms