Phase separation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>J</mml:mi></mml:math>ladders

Rommer, Stefan; White, Steven R.; Scalapino, D. J.

doi:10.1103/physrevb.61.13424

Cited by 27 publications

(36 citation statements)

References 24 publications

(20 reference statements)

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“…We find that this limit is negative, and therefore phase separation must occur, for t/J(= t ⊥ /J ⊥ ) anywhere below a value about 0.5, independent of J/J ⊥ -although due to numerical uncertainty, this estimate cannot be made very precise. This is in good agreement with previous estimates: Rommer et al 21 , for instance, find the phase separation boundary at half-filling to lie at J/t = 2.156(2), or t/J = 0.464, from a density matrix renormalization group calculation for the isotropic ladder.…”

Section: Among the Nine Eigenstates For The Unperturbedsupporting

confidence: 93%

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Two-hole and four-hole bound states in at-J ladder at half-filling

Zheng

Hamer

2002

Phys. Rev. B

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The two-hole excitation spectrum of the t − J ladder at half-filling is studied using linked-cluster series expansion methods. A rich spectrum of bound states emerges, particularly at small t/J. Their dispersion relations and coherence lengths are computed, along with the threshold behaviour as the bound states merge into the continuum. A class of 4-hole bound states is also studied, leading to the conclusion that phase separation occurs for t/J < ∼ 0.5, in agreement with other studies.

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Section: Among the Nine Eigenstates For The Unperturbedsupporting

confidence: 93%

“…The basic properties of the t − J ladder have been explored by exact diagonalizations 11,12,13,14,15,16,17 , the density renormalization group 18,19,20,21 , quantum Monte Carlo simulation 22 , and series expansion techniques 23,24 , as well as approximate analytic theories 19,20,25,26,27,28 .…”

Section: Introductionmentioning

confidence: 99%

Two-hole and four-hole bound states in at-J ladder at half-filling

Zheng

Hamer

2002

Phys. Rev. B

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“…It was found that the lowest energy two-hole state is not amenable to our series approach; but the DMRG calculations show that two holes become strongly bound at larger t/t ⊥ . This raises the question of whether phase separation will occur in this region, as it does in the t − J ladder [23]. This question must await future investigations.…”

Section: Discussionmentioning

confidence: 99%

Numerical studies of the two-leg Hubbard ladder

Zheng

Oitmaa

Hamer

et al. 2000

J. Phys.: Condens. Matter

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The Hubbard model on a two-leg ladder structure has been studied by a combination of series expansions at T = 0 and the density-matrix renormalization group. We report results for the ground state energy E 0 and spin-gap ∆ s at half-filling, as well as dispersion curves for one and two-hole excitations. For small U both E 0 and ∆ s show a dramatic drop near t/t ⊥ ∼ 0.5, which becomes more gradual for larger U . This represents a crossover from a "band insulator" phase to a strongly correlated spin liquid. The lowest-lying two-hole state rapidly becomes strongly bound as t/t ⊥ increases, indicating the possibility that phase separation may occur. The various features are collected in a "phase diagram" for the model.

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“…Recently, many authors [19][20][21][22][23][24][25] have addressed the question of PS in the t − J model. It is well accepted that for J ≫ t, holes tend to cluster together leaving the rest of the system in an antiferromagnetic state without holes.…”

Section: Resultsmentioning

confidence: 99%

Spatially homogeneous ground state of the two-dimensional Hubbard model

2000

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We investigate the stability with respect to phase separation or charge density-wave formation of the two-dimensional Hubbard model for various values of the local Coulomb repulsion and electron densities using Green-function Monte Carlo techniques. The well known sign problem is particularly serious in the relevant region of small hole doping. We show that the difference in accuracy for different doping makes it very difficult to probe the phase separation instability using only energy calculations, even in the weak-coupling limit (U = 4t) where reliable results are available. By contrast, the knowledge of the charge correlation functions allows us to provide clear evidence of a spatially homogeneous ground state up to U = 10t. 71.10.Fd, 71.45.Lr,

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Phase separation int−Jladders

Cited by 27 publications

References 24 publications

Two-hole and four-hole bound states in at-J ladder at half-filling

Two-hole and four-hole bound states in at-J ladder at half-filling

Numerical studies of the two-leg Hubbard ladder

Spatially homogeneous ground state of the two-dimensional Hubbard model

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