Copper-oxygen charge excitations and the effective-single-band theory of cuprate superconductors

Schüttler, Heinz-Bernd; Fedro, A. J.

doi:10.1103/physrevb.45.7588

Cited by 122 publications

(91 citation statements)

References 40 publications

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“…(3). This model contains the most important physical ingredients expected to describe transition metals in general 26 or cuprate superconductors [21][22][23][24] . In 1D, most of the parameters of the model appropriate for systems like transpolyacetylene have been estimated 25,48 and are consistent with several regions of parameters for which we find superconductivity.…”

Section: Summary and Discussionmentioning

confidence: 99%

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Superconductivity with s and p symmetries in an extended Hubbard model with correlated hopping

et al. 1998

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We consider a generalized Hubbard model with on-site and nearest-neighbour repulsions U and V respectively, and nearest-neighbour hopping for spin up (down) which depends on the total occupation n b of spin down (up) electrons on both sites involved. The hopping parameters are tAA, tAB and tBB for n b = 0, 1, 2 respectively. We briefly summarize results which support that the model exhibits s-wave superconductivity for certain parameters and extend them by studying the Berry phases. Using a generalized Hartree-Fock(HF) BCS decoupling of the two and three-body terms, we obtain that at half filling, for tAB < tAA = tBB and sufficiently small U and V the model leads to triplet p-wave superconductivity for a simple cubic lattice in any dimension. In one dimension, the resulting phase diagram is compared with that obtained numerically using two quantized Berry phases (topological numbers) as order parameters. While this novel method supports the previous results, there are quantitative differences.

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Section: Summary and Discussionmentioning

confidence: 99%

“…The case V = 0 has been derived as the model that describes the low energy excitations of intermediate-valence systems 20 and "hole" and cuprate superconductors 21,22 . The model with V was obtained for cuprate superconductors 23,24 and proposed to describe the benzene molecule 25,26 .…”

Section: Introductionmentioning

confidence: 99%

Superconductivity with s and p symmetries in an extended Hubbard model with correlated hopping

et al. 1998

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“…More sensitive to the particular system are the hopping parameters (included in H pp and H pd ) and, particularly, the transitionmetal to O charge transfer energy ∆ (defined as the energy necesary to take a hole from the ground state 3d 8 configuration of the transition metal and put it in the p σ orbital of the 2p shell of a nearest-neighbor oxygen atom 32 ), which increases to the left of the periodic table. To derive the effective Hamiltonian for one-dimensional transition metal-O systems, we employ the cell perturbation method 34 . For simplicity in the explanation below, we choose the particular case of NiO 6 octahedra sharing O atoms along the z direction (present in Y 2 BaNiO 5 ) and assume tetragonal symmetry.…”

Section: The Low-energy Reduction Proceduresmentioning

confidence: 99%

Influence of finite Hund rules and charge transfer on properties of Haldane systems

1999

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We consider the Kondo-Hubbard model with ferromagnetic exchange coupling JH , showing that it is an approximate effective model for late transition metal-O linear systems. We study the dependence of the charge and spin gaps ∆C , ∆S, and several spin-spin correlation functions, including the hidden order parameter Z(π), as functions of JH /t and U/t, by numerical diagonalization of finite systems. Except for Z(π), all properties converge slowly to the strong-coupling limit. When JH /t ∼ 2 and U/t ∼ 7 (the effective parameters that we obtain for Y2BaNiO5), ∆S is roughly half of the value expected from a strong-coupling expansion.

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“…In these cuprates, the charge carriers are confined to move mainly on the CuO 2 planes. Therefore, three-band Hubbard models have been proposed to describe the dynamics of the carriers on these planes [3], and the electronic states close to the Fermi energy can be well described by a single-band tight-binding model on a square lattice with a second-neighbor hopping [4]. Furthermore, it has been shown that the second-neighbor correlated-hopping interactions can lead to d-wave superconducting ground states [5].…”

Section: Introductionmentioning

confidence: 99%

ARPES-parameterized Hubbard approach to d-wave cuprate superconductors

Pérez

Galván

Wang³

2014

AIP Conference Proceedings

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Abstract. In the last decade, the Angle Resolved Photoemission Spectroscopy (ARPES) has achieved important advances in both energy and angular resolutions, providing a direct measurement of the single-particle dispersion relation and superconducting gap. These dispersion relation data allow a full determination of the self-energy, first and second neighbor parameters in the Hubbard model. This model and its generalizations offer a simple and general way to describe the electronic correlation in solids. In particular, the parameters of correlated hopping interactions, responsible of the dwave superconductivity in the generalized Hubbard model, are determined from ARPES data and the critical temperature within the mean-field approximation. In this work, we determine the model parameters for Bi 2 Sr 2-x La x CuO 6+δ and study its d-wave superconducting gap as a function of temperature by solving numerically two coupled integral equations. Finally, the calculated electronic specific heat is compared with experimental results.

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Copper-oxygen charge excitations and the effective-single-band theory of cuprate superconductors

Cited by 122 publications

References 40 publications

Superconductivity with s and p symmetries in an extended Hubbard model with correlated hopping

Superconductivity with s and p symmetries in an extended Hubbard model with correlated hopping

Influence of finite Hund rules and charge transfer on properties of Haldane systems

ARPES-parameterized Hubbard approach to d-wave cuprate superconductors

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