Antiferromagnetic fluctuations and<i>d</i>-wave superconductivity in electron-doped high-temperature superconductors

Kyung, Bumsoo; Landry, Jean‐Sébastien; Tremblay, A.–M. S.

doi:10.1103/physrevb.68.174502

Cited by 79 publications

(144 citation statements)

References 24 publications

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“…[16][17][18]. This value is also in good agreement with twoparticle self-consistent calculations, 19 dynamical cluster approximation, 20 and cluster DMFT, 21 which also yield that the d-wave order parameter scales as J at large u. 22 …”

Section: Comparison With Earlier Studiessupporting

confidence: 72%

Gap anisotropy and universal pairing scale in a spin-fluctuation model of cuprate superconductors

2008

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We consider the evolution of d x 2 −y 2 pairing, mediated by nearly critical spin fluctuations, with the coupling strength. We show that the onset temperature for pairing, T ‫ء‬ , smoothly evolves between weak and strong couplings passing through a broad maximum at intermediate coupling. At strong coupling, T ‫ء‬ is of order of the magnetic exchange energy J. We argue that for all couplings, pairing is confined to the vicinity of the Fermi surface. We also find that thermal spin fluctuations only modestly reduce T ‫ء‬ , even at criticality, but they substantially smooth the gap anisotropy. The latter evolves with coupling being the largest at weak coupling.

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Section: Comparison With Earlier Studiessupporting

confidence: 72%

Gap anisotropy and universal pairing scale in a spin-fluctuation model of cuprate superconductors

2008

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“…Quantum critical behavior of the susceptibility and of the self-energy in the closely related spin-fermion model has been discussed by Abanov et al 28 . It has been argued from detailed comparisons of numerical calculations with experiment 20,21,38,49,50 that strongcoupling physics is not important for electron-doped cuprates, at least not too close to half-filling. Hence, TPSC is appropriate to study these compounds.…”

Section: Finite Temperature Results and Tpscmentioning

confidence: 99%

“…(49), and ξ Finally, the nuclear magnetic resonance (NMR) relaxation rate T −1 1 can be obtained from the two-dimensional version of the Moriya formula…”

Section: Correlation Length Spin Susceptibility and Nmr Relaxation Ratementioning

confidence: 99%

Breakdown of Fermi liquid behavior at the(π,π)=2kFspin-density wave quantum-critical point: The case of electron-doped cuprates

et al. 2012

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Many correlated materials display a quantum critical point between a paramagnetic and a spindensity wave (SDW) state. The SDW wave vector connects points, so-called hot spots, on opposite sides of the Fermi surface. The Fermi velocities at these pairs of points are in general not parallel. Here we consider the case where pairs of hot spots coalesce, and the wave vector (π, π) of the SDW connects hot spots with parallel Fermi velocities. Using the specific example of electron-doped cuprates, we first show that Kanamori screening and generic features of the Lindhard function make this case experimentally relevant. The temperature dependence of the correlation length, the spin susceptibility and the self-energy at the hot spots are found using the Two-Particle-SelfConsistent theory and specific numerical examples worked out for band and interaction parameters characteristic of the electron-doped cuprates. While the curvature of the Fermi surface at the hot spots leads to deviations from perfect nesting, the pseudo-nesting conditions lead to drastic modifications of the temperature dependence of these physical observables: Neglecting logarithmic corrections, the correlation length ξ scales like 1/T , namely z = 1 instead of the naive z = 2, the (π, π) static spin susceptibility χ like 1/ √ T , and the imaginary part of the self-energy at the hot spots like T 3/2 . The correction T −1 1 ∼ T 3/2 to the Korringa NMR relaxation rate is subdominant. We also consider this problem at zero temperature, or for frequencies larger than temperature, using a field-theoretical model of gapless collective bosonic modes (SDW fluctuations) interacting with fermions. The imaginary part of the retarded fermionic self-energy close to the hot spots scales as −ω 3/2 log ω. This is less singular than earlier predictions of the form −ω log ω. The difference arises from the effects of umklapp terms that were not included in previous studies.

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“…The linear coefficient A decreases as one moves away from the quantum critical point. This decrease is correlated with the superconducting transition temperature, shown in the inset, estimated from TPSC calculations of the d x 2 −y 2 -wave susceptibility 82 . As for the coefficient B, it seems to have a rapid increase as we move away from the quantum critical point (QCP) and then to remain roughly constant as the doping increases.…”

Section: B Optical Conductivitymentioning

confidence: 99%

Optical and dc conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point including vertex corrections

et al. 2011

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The conductivity of the two-dimensional Hubbard model is particularly relevant for hightemperature superconductors. Vertex corrections are expected to be important because of strongly momentum dependent self-energies. To attack this problem, one must also take into account the Mermin-Wagner theorem, the Pauli principle and crucial sum rules in order to reach nonperturbative regimes. Here, we use the Two-Particle Self-Consistent approach that satisfies these constraints. This approach is reliable from weak to intermediate coupling. A functional derivative approach ensures that vertex corrections are included in a way that satisfies the f sum-rule. The two types of vertex corrections that we find are the antiferromagnetic analogs of the Maki-Thompson and Aslamasov-Larkin contributions of superconducting fluctuations to the conductivity but, contrary to the latter, they include non-perturbative effects. The resulting analytical expressions must be evaluated numerically. The calculations are impossible unless a number of advanced numerical algorithms are used. These algorithms make extensive use of fast Fourier transforms, cubic splines and asymptotic forms. A maximum entropy approach is specially developed for analytical continuation of our results. These algorithms are explained in detail in appendices. The numerical results are for nearest neighbor hoppings. In the pseudogap regime induced by two-dimensional antiferromagnetic fluctuations, the effect of vertex corrections is dramatic. Without vertex corrections the resistivity increases as we enter the pseudogap regime. Adding vertex corrections leads to a drop in resistivity, as observed in some high temperature superconductors. At high temperature, the resistivity saturates at the Ioffe-Regel limit. At the quantum critical point and beyond, the resistivity displays both linear and quadratic temperature dependence and there is a correlation between the linear term and the superconducting transition temperature. A hump is observed in the mid-infrared range of the optical conductivity in the presence of antiferromagnetic fluctuations.

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Antiferromagnetic fluctuations andd-wave superconductivity in electron-doped high-temperature superconductors

Cited by 79 publications

References 24 publications

Gap anisotropy and universal pairing scale in a spin-fluctuation model of cuprate superconductors

Gap anisotropy and universal pairing scale in a spin-fluctuation model of cuprate superconductors

Breakdown of Fermi liquid behavior at the(π,π)=2kFspin-density wave quantum-critical point: The case of electron-doped cuprates

Optical and dc conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point including vertex corrections

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