Universality of the single-particle spectra of cuprate superconductors

Abstract

All the available data for the dispersion and linewidth of the single-particle spectra above the superconducting gap and the pseudogap in metallic cuprates for any doping has universal features. The linewidth is linear in energy below a scale ${\omega }_c$ and constant above. The cusp in the linewidth at ${\omega }_c$ mandates, due to causality, a "waterfall", i.e., a vertical feature in the dispersion. These features are predicted by a recent microscopic theory. We find that all data can be quantitatively fitted by the theory with a coupling constant ${\lambda }_0$ and an upper cutoff at ${\omega }_c$ which vary by less than 50% among the different cuprates and for varying dopings. The microscopic theory also gives these values to within factors of O(2).

arXiv comment4 pages, 4 figures; accepted by Phys. Rev. Lett

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• Theory of Superconductivity in the Cuprates
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• Momentum Dependence of the Single-Particle Self-Energy and Fluctuation Spectrum of Slightly Underdoped Bi_2 Sr_2 CaCu_2 O_{8+δ} from High Resolution Laser ARPES
• Excitation energy map of the high-energy dispersion anomalies in cuprates
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• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Consistent description of the metallic phase of overdoped cuprate superconductors as an anisotropic marginal Fermi liquid
• Evidence for Multiple Underlying Fermi Surface and Isotropic Energy Gap in the Cuprate Parent Compound Ca${}_2$CuO${}_2$Cl${}_2$
• Dynamic structure function of some singular Fermi-liquids
• Energy-dependent scaling of incoherent spectral weight and the origin of the waterfalls in high-Tc cuprates