Mott-superfluid transition in bosonic ladders

Donohue, P.; Giamarchi, Thierry

doi:10.1103/physrevb.63.180508

Cited by 40 publications

(50 citation statements)

References 18 publications

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“…For example, parallel approaches can be used to study models of coupled 1D hard-core lattice bosons, where similar effective theories can be constructed. 33,34,35,36,37,38 When local density fluctuations become stronger, more local states with different particle numbers should be kept. Following the above reasoning, an effective theory with more bosonic phase fields should be reached.…”

Section: Discussionmentioning

confidence: 99%

Low-energy effective theory for one-dimensional lattice bosons near integer filling

Lee

Yang

2007

Phys. Rev. B

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A low-energy effective theory for interacting bosons on a one-dimensional lattice at and near integer fillings is proposed. It is found that two sets of bosonic phase fields are necessary in order to explain the complete phase diagram. Using the present effective theory, the nature of the quantum phase transitions among various phases can be identified. Moreover, the general condition for the appearance of the recently proposed Pfaffian-like state can be realized from our effective action.

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Section: Discussionmentioning

confidence: 99%

Low-energy effective theory for one-dimensional lattice bosons near integer filling

Lee

Yang

2007

Phys. Rev. B

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“…Quasi-1D systems such as ladders have been of special interest to understand the phenomenon of high-temperature superconductivity, spin-gapped metallic state [22][23][24] etc. The extra coupling between the legs of the ladder makes these systems unique, as a result of which, the quantum phase transitions are influenced substantially even in a simple model like the Bose-Hubbard ladder [25][26][27]. Also, the effect of kinetic frustration along with various interactions can lead to interesting new phases in ladder systems [28][29][30][31][32][33][34][35][36], which are not possible in one dimensional lattice systems.…”

Section: Introductionmentioning

confidence: 99%

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

et al. 2014

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We obtain the complete quantum phase diagram of bosons on a two-leg ladder in the presence of attractive onsite and repulsive interchain nearest neighbor interactions by imposing the onsite three body constraint. We find three distinct phases, namely, the atomic superfluid(ASF), dimer superfluid (DSF) and the dimer rung insulator (DRI). In the absence of the interchain nearest neighbor repulsion, the system exhibits a transition from the ASF to the DSF phase with increasing onsite attraction. However, the presence of the interchain nearest neighbor repulsion stabilizes a gapped DRI phase, which is flanked by the DSF phase. We also obtain the phase diagram of the system for different values of the interchain nearest neighbor interaction. By evaluating different order parameters, we obtain the complete phase diagram and the properties of the phase transitions using the self consistent cluster mean field theory.

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“…In this case, a cos 2φ s cos 2φ a term is present and favors an insulating state 11 . The interchain Josephson coupling cos √ 2θ a competes with this term making the system conducting when large enough 24 . The application of H > H c1 suppresses the interchain Josephson coupling turning the ladder insulating in the vortex phase.…”

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confidence: 99%

Meissner effect in a bosonic ladder

2001

Self Cite

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We investigate the effect of a magnetic field on a bosonic ladder. We show that such a system leads to the one dimensional equivalent of a vortex lattice in a superconductor. We investigate the physical properties of the vortex phase, such as vortex density and vortex correlation functions and show that magnetization has plateaus for some commensurate values of the magnetic field. The lowest plateau corresponds to a true Meissner to vortex transition at a critical field Hc1 that exists although the system has no long range superconducting order. Implications for experimental realizations such as Josephson junction arrays are discussed.PACS numbers: 05.30. Jp, 71.10.Pm, 74.50.+r The effect of a magnetic field on interacting particles is a long standing problem. A spectacular case is provided by type II superconductor, in which the magnetic field is totally expelled below H c1 , whereas a vortex state exists for H > H c1 . This behavior, however, is obtained from the Landau-Ginzburg equation, and it is important to know what happens when interactions and fluctuations have more drastic effects, such as in one dimensional systems. Indeed, in a one dimensional conductor at T = 0, although there is no long range order, superconductivity in the sense of infinite d.c. conductivity can nevertheless be present 1 . For a one dimensional chain, there is no orbital effect, and this question is not relevant. However, a system made of a finite number of coupled chains (a ladder), is still one dimensional (no long range order can exist) but orbital effect of the magnetic field is present, opening the possibility of such a transition.Beyond its own theoretical interest the investigation of the effect of a magnetic field on ladder systems is also of direct experimental relevance, due to the various realizations of such ladders 2,3,4 . Fermionic ladders can be superconducting both from attractive (s-wave) and repulsive interactions (d-wave). In the attractive case, the system is close to standard superconductors where pairs of fermions can hop from one chain to the other leading to a Josephson coupling, provided the applied magnetic field is smaller that the spin gap. The system can thus be described as a bosonic ladder. Josephson junction arrays 5,6 provide also a very direct realization of such a bosonic ladder 7,8 and are thus the prime candidates to observe these effects. This problem of Josephson ladders has been investigated previously in the classical 9 and quantum limit both analytically 10,11 and numerically 12 in the high field limit of half a flux quantum per plaquette for one dimensional situations. For the Josephson two leg ladder, it has been shown 10,11 that a true transition exists between a commensurate and a vortex phase, however the detailed behavior of the vortex phase and the effects of commensurability of the magnetic field remain to be understood.In this paper we investigate the effect of a magnetic field directly on the bosonic two leg ladder. We study the Meissner-vortex transition in this system, and t...

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Mott-superfluid transition in bosonic ladders

Cited by 40 publications

References 18 publications

Low-energy effective theory for one-dimensional lattice bosons near integer filling

Low-energy effective theory for one-dimensional lattice bosons near integer filling

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

Meissner effect in a bosonic ladder

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