Bosonic<i>t</i>–<i>J</i>Model in a Stacked Triangular Lattice and Its Phase Diagram

Kataoka, Keisuke; Kuno, Yoshihito; Ichinose, Ikuo

doi:10.1143/jpsj.81.124502

Cited by 5 publications

(10 citation statements)

References 23 publications

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“…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%

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%

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

2014

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“…|phys is the physical state of the slave-particle Hilbert space. The previous numerical study of the B-t-J model 10,11,14 show that there appear various phases including superfluid with Bose condensation, state with the pseudo-spin long-range order, etc. For the most of them, the MC simulations show that density fluctuation at each lattice site is not large even in the spatially inhomogeneous states like a phase-separated state.…”

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

confidence: 99%

“…Various phases can form in the system (2.1) at T = 0, e.g., states with long-range spin orders (FM, AF, spiral, etc), superfluid with Bose condensation of a and/or b atoms, and superposition of them (the supersolid (SS)) 7,8,14,16 . In the following sections, we shall consider several specific cases of the extended B-t-J model H tJ + H V and derive effective field-theory model.…”

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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“…Together with the behavior of ρ CSF (not shown), it can be established that the system is in the CSS state for t B /V < 0. 19(1) and the SS state for t B /V > 0. 19(1).…”

Section: U/ V = 1 and μ/ V = 7/2mentioning

confidence: 99%

“…[2] and [3]). Recently, more and more attention has been paid to two-species bosons, where novel quantum phases can emerge due to interspecies and intraspecies interactions [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], which can be tuned experimentally by Feshbach resonances [21,22].…”

Section: Introductionmentioning

confidence: 99%

Two-species hard-core bosons on the triangular lattice: A quantum Monte Carlo study

Chen

Deng

2014

Phys. Rev. A

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Using worm-type quantum Monte Carlo simulations, we investigate bosonic mixtures on a triangular lattice of two species of bosons, which interact via nearest-neighbor intraspecies (V ) and on-site interspecies (U ) repulsions. For the case of symmetric hopping amplitude (t A /V = t B /V ) and U/V = 1, we determine a rich ground-state phase diagram that contains double-solid, double-superfluid, supersolid (SS), solid-superfluid (solid-SF), and counterflow supersolid (CSS) states. The SS, solid-SF, and CSS states exhibit spontaneous symmetry breaking among the three sublattices of the triangular lattice and between the two species, which leads to a nonzero crystalline density wave order in each species. We, furthermore, show that the CSS and the SS states are present for t A /V = t B /V , and the latter even survives up to the t A /V → ∞ or t B /V → ∞ limit. The effects induced by the variation of U/V and by the imbalance of particle numbers of the two species are also explored.JIAN-PING LV, QING-HU CHEN, AND YOUJIN DENG PHYSICAL REVIEW A 89, 013628 (2014) where t A and t B are the hopping amplitudes, and V and U are the nearest-neighbor intraspecies and on-site interspecies repulsions, respectively. The symbols n A i = a † i a i and n B i = b † i b i are the particle-number operators. Due to the hard-core constraint, one has {a i ,

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

Cited by 5 publications

References 23 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

Two-species hard-core bosons on the triangular lattice: A quantum Monte Carlo study

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