<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>−</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>symmetry and the pairing mechanism

Bulut, N.; Scalapino, D. J.

doi:10.1103/physrevb.54.14971

Cited by 109 publications

(119 citation statements)

References 13 publications

Supporting

Mentioning

108

Contrasting

Unclassified

Order By: Relevance

“…Two special types of phonons have attracted attention: the Cu-O buckling mode, which is attractive in the d-wave channel, 2,69,70,71,72,73 and the Cu-O breathing mode, which is repulsive in the d-wave channel. 2,70,71,73 Typically, the absolute values of the pairing interactions in the B 1g ('d-wave') channel for both types of vibrations are smaller than 0.1 eV, in the A 1g ('s-wave') channel about 0.5-1 eV; for spin fluctuations, the corresponding numbers are in the d-wave channel 0.5-1 eV and in the s-wave channel 1-2 eV. 73 The total electronphonon coupling constant in the s-wave channel amounts to λ s ≈ 0.4 − 0.6, 73,74,75,76,77 and in the d-wave channel to λ d ≈ 0.3.…”

Section: Coupling To the Zone Boundary Half Breathing Optical Phononmentioning

confidence: 99%

Effect of the magnetic resonance on the electronic spectra ofhigh−Tcsuperconductors

2003

View full text Add to dashboard Cite

We explain recent experimental results on the superconducting state spectral function as obtained by angle resolved photoemission, as well as by tunneling, in high Tc cuprates. In our model, electrons are coupled to the resonant spin fluctuation mode observed in inelastic neutron scattering experiments, as well as to a gapped continuum. We show that, although the weight of the resonance is small, its effect on the electron self energy is large, and can explain various dispersion anomalies seen in the data. In agreement with experiment, we find that these effects are a strong function of doping. We contrast our results to those expected for electrons coupled to phonons.

show abstract

Section: Coupling To the Zone Boundary Half Breathing Optical Phononmentioning

confidence: 99%

Effect of the magnetic resonance on the electronic spectra ofhigh−Tcsuperconductors

2003

View full text Add to dashboard Cite

show abstract

“…For conventional isotropic superconductors, the momentum dependence of the electron-phonon coupling is rather irrelevant to pairing, as all modes contribute to the Cooper instability. However, this is not the case in unconventional (sign-changing) anisotropic superconductors [9][10][11]. While electron-phonon coupling at large momentum transfers that connects momentum points with different signs of the superconducting gap leads to a suppression of superconductivity, scattering that involves small momentum transfers always enhances superconducting pairing [12].…”

Section: Introductionmentioning

confidence: 99%

Directly Characterizing the Relative Strength and Momentum Dependence of Electron-Phonon Coupling Using Resonant Inelastic X-Ray Scattering

Devereaux¹,

Shvaika²,

Wu³

et al. 2016

Phys. Rev. X

View full text Add to dashboard Cite

The coupling between lattice and charge degrees of freedom in condensed matter materials is ubiquitous and can often result in interesting properties and ordered phases, including conventional superconductivity, charge-density wave order, and metal-insulator transitions. Angle-resolved photoemission spectroscopy and both neutron and nonresonant x-ray scattering serve as effective probes for determining the behavior of appropriate, individual degrees of freedom-the electronic structure and lattice excitation, or phonon dispersion, respectively. However, each provides less direct information about the mutual coupling between the degrees of freedom, usually through self-energy effects, which tend to renormalize and broaden spectral features precisely where the coupling is strong, impacting one's ability to quantitatively characterize the coupling. Here, we demonstrate that resonant inelastic x-ray scattering, or RIXS, can be an effective tool to directly determine the relative strength and momentum dependence of the electron-phonon coupling in condensed matter systems. Using a diagrammatic approach for an eight-band model of copper oxides, we study the contributions from the lowest-order diagrams to the full RIXS intensity for a realistic scattering geometry, accounting for matrix element effects in the scattering cross section, as well as the momentum dependence of the electron-phonon coupling vertex. A detailed examination of these maps offers a unique perspective into the characteristics of electron-phonon coupling, which complements both neutron and nonresonant x-ray scattering, as well as Raman and infrared conductivity.

show abstract

“…Recent Fermi-liquid based treatments of the long-range components of the Coulomb interaction have shown that the e-ph coupling constant can be significantly enhanced at small momentum transfers due to the quasi-2D nature of transport in the cuprates and the breakdown of screening in the deeply underdoped samples. 23,[44][45][46][47][48] The enhanced coupling in the forward scattering direction can enhance pairing in a d-wave superconductor 49 and also affects the energy scale of the dispersion renormalization. 50 The modification of the e-ph vertex appears to be generic as studies examining the short-range components of the Coulomb interaction as captured by the Hubbard interaction find similar forward scattering enhancements of the eph vertex.…”

Section: Introductionmentioning

confidence: 99%

Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model

et al. 2013

View full text Add to dashboard Cite

We have performed numerical studies of the Hubbard-Holstein model in two dimensions using determinant quantum Monte Carlo (DQMC). Here we present details of the method, emphasizing the treatment of the lattice degrees of freedom, and then study the filling and behavior of the fermion sign as a function of model parameters. We find a region of parameter space with large Holstein coupling where the fermion sign recovers despite large values of the Hubbard interaction. This indicates that studies of correlated polarons at finite carrier concentrations are likely accessible to DQMC simulations. We then restrict ourselves to the half-filled model and examine the evolution of the antiferromagnetic structure factor, other metrics for antiferromagnetic and charge-density-wave order, and energetics of the electronic and lattice degrees of freedom as a function of electron-phonon coupling. From this we find further evidence for a competition between charge-density-wave and antiferromagnetic order at half-filling.

show abstract

dx2−y2symmetry and the pairing mechanism

Abstract: An important question is if the gap in the high temperature cuprates has Typeset using REVT E X 1

Cited by 109 publications

References 13 publications

Effect of the magnetic resonance on the electronic spectra ofhigh−Tcsuperconductors

Effect of the magnetic resonance on the electronic spectra ofhigh−Tcsuperconductors

Directly Characterizing the Relative Strength and Momentum Dependence of Electron-Phonon Coupling Using Resonant Inelastic X-Ray Scattering

Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model

Contact Info

Product

Resources

About