Finite-temperature phase diagram of the three-dimensional hard-core bosonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>J</mml:mi></mml:mrow></mml:math>model

Nakano, Y.; Ishima, Takumi; Kobayashi, Naohiro; Sakakibara, Keita; Ichinose, Ikuo; Matsui, Tetsuo

doi:10.1103/physrevb.83.235116

Cited by 14 publications

(30 citation statements)

References 24 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%

“…While many interesting works on this subject 6,7 have been reported for single-component cold atomic gases, the study on two-component boson systems is still inadequate. In the present paper, we shall study the bosonic t-J model (B-t-J) [8][9][10][11] with dipole-dipole interactions (DDI) 12 , as the long-range nature of the DDI possibly generates interesting phases including the SS.…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

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

2014

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“…The original path-integral representation of the partition function contains terms likeā i ∂ τ a i , wherē a i is the complex number corresponding to a † i and τ is the imaginary time. As we discussed in the previous papers 13) and also showed explicitly by the numerical studies on certain models, 4,14,15) effect of non-zero Matsubara-frequency modes in the 3D system at finite temperature is mostly the renormalization of the critical temperature and then the partition function in Eq. (4) is a good approximation for studying phase diagram at finite-T .…”

Section: Model and Path-integral Formalismmentioning

confidence: 95%

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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“…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%

“…Our previous studies on the B-t-J model mostly employed numerical Monte-Carlo (MC) simulations to clarify its phase diagram at finite temperature (T ) 10 . In contrast to the fermionic t-J model, the numerical study can be done without any difficulties for some cases of the B-t-J model.…”

Section: Introductionmentioning

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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Finite-temperature phase diagram of the three-dimensional hard-core bosonict-Jmodel

Cited by 14 publications

References 24 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

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

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

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