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Dessau, D. S.; Shen, Zhi‐Xun; King, David M.; Marshall, D. S.; Lombardo, L. W.; Dickinson, P. H.; Loeser, A. G.; DiCarlo, Jeffrey M.; Park, C.-H; Kapitulnik, A.; Spicer, W. E.

doi:10.1103/physrevlett.71.2781

Cited by 498 publications

(139 citation statements)

References 25 publications

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“…These are the features of the published interpretation of the photoemission data from BSCCO in Ref. [26], and so we take this parameter set to characterise the BSCCO system in the remainder of this study.…”

Section: Mean-field Solutionmentioning

confidence: 99%

“…A clear experimental indication of whether interlayer transfer is coherent or incoherent should be given by photoemission experiments, which will see either two Fermi surfaces or one. At the moment there is some controversy, and inconsistency, surrounding the interpretation of results obtained for both BSCCO [26,27] and YBCO [28,29] systems, part of which centres on the issue of the number of true band-crossings observed where the bonding and antibonding bands of the coherentlycoupled bilayer are expected to be far apart in the Brillouin zone. Here we avoid further discussion of this topic and proceed to elucidate the properties of the bilayer system with coherent hopping, but will refer below to the 2-band interpretations of the experimental data.…”

Section: Mean-field Solutionmentioning

confidence: 99%

“…All of the contributions are additive in χ + , but the interband contributions (α = β) are subtractive in χ − . Note that the only dependence on q z is that contained explicitly in the phase factors of the off-diagonal terms in (26). This phase will appear in the imaginary part as the legitimate coefficient of terms proportional to a δ-function in energy which are responsible for dissipative processes, and is not forbidden by the symmetry of χ ′′ .…”

Section: Dynamic Susceptibilitymentioning

confidence: 99%

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Dynamic susceptibility and photoemission in thet-t’-Jmodel

Normand

Lee

1995

Phys. Rev. B

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We consider a bilayer version of the extended t-J model, with a view to computing the form of certain experimentally observable properties. Using the slave-boson decomposition, we show at the mean-field level that in the bilayer system the existence of in-plane d-wave singlet pairing excludes any interplane singlet order for reasonable values of the interplane superexchange parameter. Restricting the analysis to the regime of no interplane singlet pairing, we deduce parameter sets reproducing the Fermi surfaces of YBCO-and BSCCO-like bilayer systems. From these we calculate the form of the dynamic susceptibility χ(q, ω) in both systems, and of the anomalies in frequency and linewidth of selected phonon modes in YBCO. We compare the results with experiment, and discuss the features which differ from the single-layer case.

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Section: Mean-field Solutionmentioning

confidence: 99%

Section: Mean-field Solutionmentioning

confidence: 99%

Section: Dynamic Susceptibilitymentioning

confidence: 99%

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Dynamic susceptibility and photoemission in thet-t’-Jmodel

Normand

Lee

1995

Phys. Rev. B

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“…[1][2][3][4] These flat regions in the energy dispersion are directly observed in ARPES experiments on various cuprate compounds. [5][6][7][8][9] Recently, it was also observed in the tunneling spectra of Bi-2201. 10 The presence of saddle points in the energy dispersion is also argued to lead to a superconducting instability in other correlated systems, e.g.…”

mentioning

confidence: 99%

Role of the van Hove singularity in the quantum criticality of the Hubbard model

et al. 2011

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A quantum critical point is found in the phase diagram of the two-dimensional Hubbard model [Vidhyadhiraja et al., Phys. Rev. Lett. 102, 206407 (2009)]. It is due to the vanishing of the critical temperature associated with a phase separation transition, and it separates the non-Fermi liquid region from the Fermi liquid. Near the quantum critical point, the pairing is enhanced since the real part of the bare d-wave pairing susceptibility exhibits an algebraic divergence with decreasing temperature, replacing the logarithmic divergence found in a Fermi liquid [Yang et al., Phys. Rev. Lett. 106, 047004 (2011)]. In this paper we explore the single-particle and transport properties near the quantum critical point using high quality estimates of the self energy obtained by direct analytic continuation of the self energy from Continuous-Time Quantum Monte Carlo. We focus mainly on a van Hove singularity coming from the relatively flat dispersion that crosses the Fermi level near the quantum critical filling. The flat part of the dispersion orthogonal to the antinodal direction remains pinned near the Fermi level for a range of doping that increases when we include a negative next-near-neighbor hopping t ′ in the model. For comparison, we calculate the bare d-wave pairing susceptibility for non-interacting models with the usual two-dimensional tight binding dispersion and a hypothetical quartic dispersion. We find that neither model yields a van Hove singularity that completely describes the critical algebraic behavior of the bare d-wave pairing susceptibility found in the numerical data. The resistivity, thermal conductivity, thermopower, and the Wiedemann-Franz Law are examined in the Fermi liquid, marginal Fermi liquid, and pseudo-gap doping regions. A negative next-near-neighbor hopping t ′ increases the doping region with marginal Fermi liquid character. Both T and negative t ′ are relevant variables for the quantum critical point, and both the transport and the displacement of the van Hove singularity with filling suggest that they are qualitatively similar in their effect.

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“…High resolution angle-resolved photoemission data on high-T c superconductors (HTS) [1][2][3] have recently allowed to identify the presence of a saddle point in the band structure corresponding to a logarithmic Van Hove singularity (VHS) located in the density of states within 100-200 K of the Fermi energy.…”

Section: Introductionmentioning

confidence: 99%

Influence of a Van Hove singularity on the electronic specific heat of high-Tc superconductors

Dorbolo

Houssa

Ausloos

1996

Physica C: Superconductivity

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We study the influence of a logarithmic Van Hove singularity on the electronic specific heat C e of a 2D superconductor. The theoretical results are obtained for an isotropic s-wave gap parameter or an anisotropic dx2 y2-wave gap parameter. The specific heat jump at T c observed in high-T c superconductors can be reproduced by considering both gap parameter symmetries. However the very low temperature behavior of Ce as observed in a single crystal of YBa2Cu307_ ~ is only consistent with a gap parameter of dx2_y2 wave type.

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Key features in the measured band structure ofBi2Sr2

Cited by 498 publications

References 25 publications

Dynamic susceptibility and photoemission in thet-t’-Jmodel

Dynamic susceptibility and photoemission in thet-t’-Jmodel

Role of the van Hove singularity in the quantum criticality of the Hubbard model

Influence of a Van Hove singularity on the electronic specific heat of high-Tc superconductors

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