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).

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

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• High Energy Dispersions in Bi2Sr2CaCu2O8 High Temperature Superconductor from Laser-Based Angle-Resolved Photoemission
• Excitation energy map of the high-energy dispersion anomalies in cuprates
• Long Wavelength Correlations and Transport in a Marginal Fermi Liquid
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Energy-dependent scaling of incoherent spectral weight and the origin of the waterfalls in high-Tc cuprates