Momentum-dependent scaling exponents of nodal self-energies measured in strange metal cuprates and modelled using semi-holography.

Smit, S; Mauri, E; Bawden, L; Heringa, F; Gerritsen, F; van Heumen, E; Huang, Y K; Kondo, T et al. · Nat Commun · 2024

basic_science · Level V

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Abstract

The anomalous strange metal phase found in high-T<sub>c</sub> cuprates does not follow the conventional condensed-matter principles enshrined in the Fermi liquid and presents a great challenge for theory. Highly precise experimental determination of the electronic self-energy can provide a test bed for theoretical models of strange metals, and angle-resolved photoemission can provide this as a function of frequency, momentum, temperature and doping. Here we show that constant energy cuts through the nodal spectral function in (Pb,Bi)<sub>2</sub>Sr<sub>2-x</sub>La<sub>x</sub>CuO<sub>6+δ</sub> have a non-Lorentzian lineshape, consistent with a self-energy that is k dependent. This provides a new test for aspiring theories. Here we show that the experimental data are captured remarkably well by a power law with a k-dependent scaling exponent smoothly evolving with doping, a description that emerges naturally from anti-de Sitter/conformal-field-theory based semi-holography. This puts a spotlight on holographic methods for the quantitative modelling of strongly interacting quantum materials like the cuprate strange metals.