Quasiparticle dispersion in the cuprate superconductors and the two-dimensional Hubbard model

Bulut, N.; Scalapino, D. J.; White, Steven R.

doi:10.1103/physrevb.50.7215

Cited by 131 publications

(142 citation statements)

References 13 publications

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“…While the role of the k-independent term is only to shift the poles of the Green's function, the k-dependent part causes a flattening at the top of the lower band from around k = (π, π) until k = (π, 0) as can be verified in Refs. [6,8]. This flattening occurs because W d kσ decreases when ε d k increases, as discussed in Ref.…”

mentioning

confidence: 72%

“…Our numerical results show that the narrowing of the sub-bands decreases with increasing U . This fact is very important, because this leads to a change at the position of the chemical potential µ which is relevant to obtain the behavior of the high-temperature superconductivity [8]. In the figures 1(a)-1(b) are shown phase diagrams with the dotted lines corresponding to the results obtained in Ref.…”

mentioning

confidence: 94%

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Role of hybridization in the superconducting properties of an extended d–p Hubbard model: a detailed numerical study

Calegari

Magalhães

Gomes

2005

Physica B: Condensed Matter

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The Roth's two-pole approximation has been used by the present authors to study the effects of the hybridization in the superconducting properties of a strongly correlated electron system. The model used is the extended Hubbard model which includes the d − p hybridization, the p-band and a narrow d-band. The present work is an extension of the previous Ref. [3]. Nevertheless, some important correlation functions necessary to estimate the Roth's band shift, are included together with the temperature T and the Coulomb interaction U to describe the superconductivity. The superconducting order parameter of a cuprate system, is obtained following Beenen and Edwards formalism. Here, we investigate in detail the change of the order parameter associated to temperature, Coulomb interaction and Roth's band shift effects on superconductivity. The phase diagram with Tc versus the total occupation numbers nT , shows the difference respect to the previous work.

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confidence: 72%

mentioning

confidence: 94%

Role of hybridization in the superconducting properties of an extended d–p Hubbard model: a detailed numerical study

Calegari

Magalhães

Gomes

2005

Physica B: Condensed Matter

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“…Although these portions of the bands lie very close to the Fermi level, we have not been able to establish any connection, in the analogous case of the square lattice, with the famous flatbands of the copper oxides. 30 Both facts seem quite unrelated, there being no simple relationship between the points k 0 and the Fermi level. This has to be found self-consistently, as usual, so as to accommodate the right number of electrons in the bonds.…”

Section: A Doping Dependence Of the Band Structurementioning

confidence: 99%

Dynamical correlation-hole approach to the Hubbard model

et al. 1999

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The Hubbard I decoupling approximation ͓J. Hubbard, Proc. R. Soc. London Ser. A 276, 238 ͑1963͔͒ is extended by introducing a k-dependent self-energy which describes a mobile correlation hole of opposite spin propagating along with the electron in its way around the lattice. The theory, despite its simplicity, ͑1͒ becomes exact in the strong-coupling limit; and ͑2͒ reproduces with great accuracy the ground-state energy, the double occupancy, the on-site correlation functions, and the effective hopping for all the values of the Hubbard Coulomb repulsion U. It also gives reasonable spectral functions leading to ͑3͒ a single-particle Green function showing the well-known spectral-weight transfer between the Hubbard bands as soon as the electron density deviates from half-filling, and ͑4͒ a momentum distribution as well as magnetic and charge structure factors in qualitative agreement with quantum Monte Carlo simulations, slave-boson calculations, and conserving approximations like fluctuation exchange and parquet. On the other hand, as in most decoupling schemes, liftime effects and the near-Fermi-level additional structure characteristic of strongly correlated electron systems are missing. ͓S0163-1829͑99͒02408-X͔

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“…Different approaches have been used, to understand unconventional superconductivity, like Monte Carlo simulations with the t−J model [8,9] or with the Hubbard model [10,11], or exact diagonalization [12], DMRG method [13] or variational approach [14], etc. [15].…”

Section: Introductionmentioning

confidence: 99%

Functional renormalization-group calculation of the Fermi surface of a spin ladder

Abramovici

Héritier

2007

Phys. Rev. B

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We study non conventional superconductivity on a ladder, improving the predictions of the Hubbard model. The determination of the Fermi surface, in 2 or 3 dimensions, remains a very hard task, but it is exactly solvable for a single ladder. We use functional Renormalisation Group methods, which prove, here, scheme-dependant. In the superconducting phase, the binding/antibinding gap is stabilized, but in the antiferromagnetic phase, it shrinks and the ladder turns one-dimensional.

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Quasiparticle dispersion in the cuprate superconductors and the two-dimensional Hubbard model

Cited by 131 publications

References 13 publications

Role of hybridization in the superconducting properties of an extended d–p Hubbard model: a detailed numerical study

Role of hybridization in the superconducting properties of an extended d–p Hubbard model: a detailed numerical study

Dynamical correlation-hole approach to the Hubbard model

Functional renormalization-group calculation of the Fermi surface of a spin ladder

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