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Nazarenko, Alexander; Vos, K. J. E.; Haas, Stephan; Dagotto, Elbio; Gooding, R. J.

doi:10.1103/physrevb.51.8676

Cited by 163 publications

(155 citation statements)

References 24 publications

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“…5 Instead, at the very least hoppings beyond near neighbor must be added to the t-J model. [6][7][8][9][10] The recognition of the importance of further hoppings has also been obtained in a spin-density-wave treatment of the one-band Hubbard model. 11 Work on the more physically plausible three-band model has shown that this model is superior in reproducing the experimental band structure in all regions of the first Brillouin zone.…”

Section: A Theoretical Comparisonsmentioning

confidence: 99%

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2
Leung
¹
,
Wells
²
,
Gooding
³

1997
Phys. Rev. B
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74
8
72
0
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We explore the success of various versions of the one-band t-J model in explaining the full spectral functions found in angle-resolved photoemission spectra for the prototypical, quasi-two-dimensional, tetragonal, antiferromagnetic insulator Sr 2 CuO 2 Cl 2 . After presenting arguments justifying our extraction of A(k, ) from the experimental data, we rely on exact-diagonalization results from studies of a square 32-site lattice, the largest cluster for which such information is presently available, to perform this comparison. Our work leads us to believe that ͑i͒ a one-band model that includes hopping out to third-nearest neighbors, as well three-site, spin-dependent hopping, can indeed explain not only the dispersion relation, but also the quasiparticle lifetimes-only in the neighborhood of kϭ( /2,0) do we find disagreement; ͑ii͒ an energy-dependent broadening function, ⌫(E)ϭ⌫ 0 ϩAE, is important in accounting for the incoherent contributions to the spectral functions. ͓S0163-1829͑97͒07034-3͔

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Section: A Theoretical Comparisonsmentioning

confidence: 99%

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2
Leung
¹
,
Wells
²
,
Gooding
³

1997
Phys. Rev. B
Self Cite
74
8
72
0
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“…Next-to-nearestneighbor hopping tЈ has to be introduced for a more accurate description of the dispersion relation in the insulating phase. 7 The distinctive feature of the t-tЈ-U model is that the level of half-filling does not coincide with the level corresponding to the two van Hove singularities. Thus, it should be possible to establish a clearer separation between the effects of the antiferromagnetic correlations and those due to the appearance of the extended saddle points.…”

Section: ͓S0163-1829͑97͒03925-8͔mentioning

confidence: 99%

Strong-coupling phases of thet−t′Hubbard model

González

Álvarez

1997

Phys. Rev. B

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We study the strong-coupling regime of the t-tЈ Hubbard model, filled up to the level of the van Hove singularities, by means of an exact diagonalization approach. We characterize the different phases of the model by the different sectors of the Hilbert space with given quantum numbers. By looking for the ground state of the system, we find essentially the competition between a state with incipient ferromagnetism and other mimicking a d-wave condensate, which has the lowest energy in a large region of the phase space. ͓S0163-1829͑97͒03925-8͔During recent years there have been increasingly accurate measures by angle-resolved photoemission spectroscopy of copper-oxide compounds, giving much insight into the phenomenology of these materials. 1 Near the optimal doping for superconductivity the hole-doped compounds use to show extended van Hove singularities close to the Fermi level, which are located near the high-symmetry points ͑ ,0͒,͑0, ͒. 1,2 On the other hand, in the carrier-free regime the materials show antiferromagnetic correlations, with a dispersion relation which has peaks at the points ͑Ϯ /2,Ϯ /2͒. 3 A most interesting problem is therefore to understand the drastic change that the Fermi surface may suffer by the influence of doping. 4 The framework that has been proposed to address such theoretical issues is that of the t-tЈ-U model 5 ͑or its strongcoupling version, the t-tЈ-J model 6 ͒, as it is generally believed that strong correlation effects have to be responsible for the electronic properties of the cuprates. Next-to-nearestneighbor hopping tЈ has to be introduced for a more accurate description of the dispersion relation in the insulating phase. 7 The distinctive feature of the t-tЈ-U model is that the level of half-filling does not coincide with the level corresponding to the two van Hove singularities. Thus, it should be possible to establish a clearer separation between the effects of the antiferromagnetic correlations and those due to the appearance of the extended saddle points. There have been attempts to propose a purely electronic mechanism of superconductivity in systems with van Hove singularities close to the Fermi level. [8][9][10] What is essential in those models is the existence of some enhanced channel favoring the exchange of singlet pairs. They represent an alternative to the picture earlier proposed in which the pairing interaction is supposed to arise from the short-range antiferromagnetic correlations. 11 In the present paper we study the correlations which may dominate at the van Hove singularities, by performing the exact diagonalization of the t-tЈ Hubbard model in a 4ϫ4 lattice ͑with periodic boundary conditions͒. The Hamiltonian of the model iswhere ϭ↑,↓, the first sum is over nearest neighbors i, j, the second sum over next-to-nearest neighbors, and n i is the electron number operator at site i. A typical contour map of the dispersion relation ͑for tЈϽ0.5) is shown in Fig. 1. We are especially interested in the situation in which the van Hove shell, comprising the four d...

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“…͑55͔͒ is due to additional intrasublattice hoppings (tЈ,tЉ, etc.͒ in the real systems. 5 With the dispersion law in Eq. ͑55͒, corrections to the binding energies are given by…”

Section: ͑48͒mentioning

confidence: 99%

“…To account for the detail line shapes, one needs to include more distant hopping terms (tЈ, tЉ, etc.͒. 5,6 The presence of these terms also follows from a careful mapping study. 6 Numerical studies of the t-J model by means of exact diagonalization ͑ED͒ and other methods suggest the presence of hole binding in the physical parameter range t/Jϳ3, [7][8][9] and that the dominant symmetry of the pairing correlation is d x 2 -y 2.…”

Section: Introductionmentioning

confidence: 99%

Holes in thet−Jzmodel: A diagrammatic study

Chernyshev¹,

Leung²

1999

Phys. Rev. B

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The t-J z model is the strongly anisotropic limit of the t-J model which captures some general properties of doped antiferromagnets ͑AF's͒. The absence of spin fluctuations simplifies the analytical treatment of hole motion in an AF background, and allows us to calculate single-and two-hole spectra with a high accuracy using a regular diagram technique combined with a real-space approach. At the same time, numerical studies of this model via exact diagonalization on small clusters show negligible finite-size effects for a number of quantities, thus allowing a direct comparison between analytical and numerical results. Both approaches demonstrate that the holes have a tendency to pair in p-and d-wave channels at realistic values of t/J. Interactions leading to pairing and effects selecting p and d waves are thoroughly investigated. The role of transverse spin fluctuations is considered using perturbation theory. Based on the results of the present study, we discuss the pairing problem in the realistic t-J-like model. Possible implications for preformed pairs formation and phase separation are drawn. ͓S0163-1829͑99͒04127-2͔

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Photoemission spectra ofSr2CuO2
Alexander Nazarenko
¹
,
K. J. E. Vos
²
,
Stephan Haas
³

et al.

Cited by 163 publications

References 24 publications

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2
Leung
¹
,
Wells
²
,
Gooding
³

1997
Phys. Rev. B
Self Cite
74
8
72
0
View full text Add to dashboard Cite

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2
Leung
¹
,
Wells
²
,
Gooding
³

1997
Phys. Rev. B
Self Cite
74
8
72
0
View full text Add to dashboard Cite

Strong-coupling phases of thet−t′Hubbard model

Holes in thet−Jzmodel: A diagrammatic study

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Photoemission spectra ofSr2CuO2Alexander Nazarenko1, K. J. E. Vos2, Stephan Haas3 et al.

Cited by 163 publications

References 24 publications

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2Leung1, Wells2, Gooding3 1997Phys. Rev. BSelf Cite748720View full textAdd to dashboardCite

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2Leung1, Wells2, Gooding3 1997Phys. Rev. BSelf Cite748720View full textAdd to dashboardCite

Strong-coupling phases of thet−t′Hubbard model

Holes in thet−Jzmodel: A diagrammatic study

Contact Info

Product

Resources

About

Photoemission spectra ofSr2CuO2
Alexander Nazarenko
¹
,
K. J. E. Vos
²
,
Stephan Haas
³

et al.

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2
Leung
¹
,
Wells
²
,
Gooding
³

1997
Phys. Rev. B
Self Cite
74
8
72
0
View full text Add to dashboard Cite

Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulatorSr2CuO2
Leung
¹
,
Wells
²
,
Gooding
³

1997
Phys. Rev. B
Self Cite
74
8
72
0
View full text Add to dashboard Cite