Finite-temperature phase diagram of two-component bosons in a cubic optical lattice: Three-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi></mml:math>model of hard-core bosons

Nakano, Y.; Ishima, Takumi; Kobayashi, Naohiro; Yamamoto, Takahiro; Ichinose, Ikuo; Matsui, Tetsuo

doi:10.1103/physreva.85.023617

Cited by 14 publications

(15 citation statements)

References 22 publications

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“…In the present paper, we regard the B-t-J model is a canonical model for the strong on-site repulsive Bose-gas system. Hamiltonian of the B-t-J model is given as follows [8][9][10][11]14 ,…”

Section: Bosonic T-j Model With Ddi and Derivation Of Effective Mmentioning

confidence: 99%

“…The previous numerical study of the B-t-J model 9,10,16 showed that there appear various phases including superfluid (SF) with Bose-Einstein condensation (BEC), state with the pseudo-spin long-range order, etc. For the most of the parameter regions, the QMC show that the density fluctuation of particles at each lattice site is stable even in the spatially inhomogeneous states like a phaseseparated state.…”

Section: Bosonic T-j Model With Ddi and Derivation Of Effective Mmentioning

confidence: 99%

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Superfluidity and solid order in a two-component Bose gas with dipolar interactions in an optical lattice

2014

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In this paper, we study an extended bosonic t-J model in an optical lattice, which describes twocomponent hard-core bosons with nearest-neighbor (NN) pseudo-spin interactions, and also interand intra-species dipole-dipole interactions (DDI). In particular, we focus on the case in which two component hard-core bosons have anti-parallel polarized dipoles with each other. The global phase diagram is studied by means of the Gutzwiller variational method and also the quantum Monte-Carlo simulations (QMC). The both calculations show that a stripe solid order, besides a checkerboard one, appears as a result of the DDI. By the QMC, we find that two kinds of supersolid (SS) form, i.e., checkerboard SS and stripe SS, and we also verify the existence of some exotic phase between the stripe solid and checkerboard SS. Finally by the QMC, we study the t-J-like model, which was experimentally realized recently by A. de Paz et al. [Phys. Rev. Lett. 111, 185305 (2013)].

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Section: Bosonic T-j Model With Ddi and Derivation Of Effective Mmentioning

confidence: 99%

Section: Bosonic T-j Model With Ddi and Derivation Of Effective Mmentioning

confidence: 99%

Superfluidity and solid order in a two-component Bose gas with dipolar interactions in an optical lattice

2014

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“…Physical Hilbert space of the system consists of states with total particle number at each site less than unity (the local constraint). In order to incorporate the local constraint faithfully, we use the following slave-particle representation 10,11 ,…”

Section: Bosonic T-j Model and Derivation Of Effective Modelmentioning

confidence: 99%

Effective field theories for two-component repulsive bosons on lattice and their phase diagrams

2013

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In this paper, we consider the bosonic t-J model, which describes two-component hard-core bosons with a nearest-neighbor (NN) pseudo-spin interaction and a NN hopping. To study phase diagram of this model, we derive effective field theories for low-energy excitations. In order to represent the hard-core nature of bosons, we employ a slave-particle representation. In the path-integral quantization, we first integrate our the radial degrees of freedom of each boson field and obtain the low-energy effective field theory of phase degrees of freedom of each boson field and an easyplane pseudo-spin. Coherent condensates of the phases describe, e.g., a "magnetic order" of the pseudo-spin, superfluidity of hard-core bosons, etc. This effective field theory is a kind of extended quantum XY model, and its phase diagram can be investigated precisely by means of the MonteCarlo simulations. We then apply a kind of Hubbard-Stratonovich transformation to the quantum XY model and obtain the second-version of the effective field theory, which is composed of fields describing the pseudo-spin degrees of freedom and boson fields of the original two-component hardcore bosons. As application of the effective-field theory approach, we consider the bosonic t-J model on the square lattice and also on the triangular lattice, and compare the obtained phase diagrams with the results of the numerical studies. We also study low-energy excitations rather in detail in the effective field theory. Finally we consider the bosonic t-J model on a stacked triangular lattice and obtain its phase diagram. We compare the obtained phase diagram with that of the effective field theory to find close resemblance.

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“…The case of J = 0, J z > 0 will be investigated in the subsequent subsection. For the ferromagnetic case J < 0 and |J| > |J z |, it is readily expected that the system has a similar phase diagram to that on the cubic lattice 9) as there are no frustrations in the system. One of the motivations to study the doped AF magnets on the triangular lattice comes from the possible spin liquid and superconductivity suggested by Anderson,20) and therefore we focus on the AF cases.…”

Section: T-j Xy Modelmentioning

confidence: 99%

“…The system H tJ might be derived as an effective model of Bose-Hubbard model that describes a cold atom system in an optical lattice. 8,9) In this case, J and J z are related to the intra-species and inter-species on-site repulsions, and J < 0. In this paper we study the bosonic t-J model (1) with general interests and treat J and J z as free parameters.…”

Section: Model and Path-integral Formalismmentioning

confidence: 99%

Bosonict–JModel in a Stacked Triangular Lattice and Its Phase Diagram

2012

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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. Physical states of the system are restricted to the ones without the doubly-occupied state at each site. 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 √ 3 × √ 3 pseudo-spin pattern with the 120 o structure.

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Finite-temperature phase diagram of two-component bosons in a cubic optical lattice: Three-dimensionalt-Jmodel of hard-core bosons

Cited by 14 publications

References 22 publications

Superfluidity and solid order in a two-component Bose gas with dipolar interactions in an optical lattice

Superfluidity and solid order in a 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

Bosonict–JModel in a Stacked Triangular Lattice and Its Phase Diagram

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