Aspects of the phase diagram of the two-dimensional<i>t</i>-<i>J</i>model

Putikka, W. O.; Luchini, M. U.; Rice, T. M.

doi:10.1103/physrevlett.68.538

Cited by 178 publications

(136 citation statements)

References 31 publications

(25 reference statements)

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“…2 Later Putikka, Luchini and Rice found phase separation only for J/t > 1.2 using a high temperature expansion. 3 Dagotto et al diagonalized 4×4 clusters and came to a similar conclusion. 4 They argued that at small J/t there is a region where holes bind into pairs but that PS starts only at J/t ∼ 1.…”

Section: Introductionmentioning

confidence: 77%

Phase separation int−Jladders

2000

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The phase separation boundary of isotropic t-J ladders is analyzed using density matrix renormalization group techniques. The complete boundary to phase separation as a function of J/t and doping is determined for a chain and for ladders with two, three and four legs. Six-chain ladders have been analyzed at low hole doping. We use a direct approach in which the phase separation boundary is determined by measuring the hole density in the part of the system which contains both electrons and holes. In addition we examine the binding energy of multi-hole clusters. An extrapolation in the number of legs suggests that the lowest J/t for phase separation to occur in the two dimensional t-J model is J/t ∼ 1.

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Section: Introductionmentioning

confidence: 77%

Phase separation int−Jladders

2000

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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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“…Thus the phase separation in the small J t − J model may be washed out by quantum fluctuations [15,16], especially in higher dimensions where E P S approaches e F for J z → 0 with a much smaller exponent.…”

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confidence: 99%

Hole dynamics in a quantum antiferromagnet: Extension of the retraceable-path approximation

1994

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The one-hole spectral weight for two chains and two dimensional lattices is studied numerically using a new method of analysis of the spectral function within the Lanczos iteration scheme: the Lanczos spectra decoding method.This technique is applied to the t−J z model for J z → 0, directly in the infinite size lattice. By a careful investigation of the first 13 Lanczos steps and the first 26 ones for the two dimensional and the two chain cases respectively, we get several new features of the one-hole spectral weight. A sharp incoherent peak with a clear momentum dispersion is identified, together with a second broad peak at higher energy. The spectral weight is finite up to the Nagaoka energy where it vanishes in a non-analytic way. Thus the lowest energy of one hole in a quantum antiferromagnet is degenerate with the Nagaoka energy in the thermodynamic limit. 75.10.Jm,75.40.Mg,71.10.+x Typeset using REVT E X 1

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Aspects of the phase diagram of the two-dimensionalt-Jmodel

Cited by 178 publications

References 31 publications

Phase separation int−Jladders

Phase separation int−Jladders

Spatially homogeneous ground state of the two-dimensional Hubbard model

Hole dynamics in a quantum antiferromagnet: Extension of the retraceable-path approximation

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