Gauge-gravity duality comes to the lab: evidence of momentum-dependent scaling exponents in the nodal electron self-energy of cuprate strange metals

Fuente: arXiv
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Autores principales: Mauri, Enea, Smit, Steef, Golden, Mark, Stoof, H. T. C.
Formato: Preprint
Publicado: 2024
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author Mauri, Enea
Smit, Steef
Golden, Mark
Stoof, H. T. C.
author_facet Mauri, Enea
Smit, Steef
Golden, Mark
Stoof, H. T. C.
contents We show that the momentum-dependent scaling exponents of the holographic fermion self-energy of the conformal-to-AdS$_2$ Gubser-Rocha model can describe new findings from angle-resolved photoemission spectroscopy experiments on a single layer (Pb,Bi)$_{2}$Sr$_{2-x}$La$_x$CuO$_{6+δ}$ copper-oxide. In particular, it was recently observed, in high-precision measurements on constant energy cuts along the nodal direction, that the spectral function departs from the Lorentzian line shape that is expected from the power-law-liquid model of a nodal self-energy, with an imaginary part featureless in momentum as $Σ''_{\text{PLL}}(ω) \propto (ω^2)^α$. By direct comparison with experimental results, we provide evidence that this departure from either a Fermi liquid or the power-law liquid, resulting in an asymmetry of the spectral function as a function of momentum around the central peak, is captured at low temperature and all dopings by a semi-holographic model that predicts a momentum-dependent scaling exponent in the electron self-energy as $Σ(ω,k) \propto ω(-ω^2)^{α(1 - (k - k_F)/k_F) - 1/2}$, with $\hbar k_F$ the Fermi momentum.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10844
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gauge-gravity duality comes to the lab: evidence of momentum-dependent scaling exponents in the nodal electron self-energy of cuprate strange metals
Mauri, Enea
Smit, Steef
Golden, Mark
Stoof, H. T. C.
Strongly Correlated Electrons
Superconductivity
We show that the momentum-dependent scaling exponents of the holographic fermion self-energy of the conformal-to-AdS$_2$ Gubser-Rocha model can describe new findings from angle-resolved photoemission spectroscopy experiments on a single layer (Pb,Bi)$_{2}$Sr$_{2-x}$La$_x$CuO$_{6+δ}$ copper-oxide. In particular, it was recently observed, in high-precision measurements on constant energy cuts along the nodal direction, that the spectral function departs from the Lorentzian line shape that is expected from the power-law-liquid model of a nodal self-energy, with an imaginary part featureless in momentum as $Σ''_{\text{PLL}}(ω) \propto (ω^2)^α$. By direct comparison with experimental results, we provide evidence that this departure from either a Fermi liquid or the power-law liquid, resulting in an asymmetry of the spectral function as a function of momentum around the central peak, is captured at low temperature and all dopings by a semi-holographic model that predicts a momentum-dependent scaling exponent in the electron self-energy as $Σ(ω,k) \propto ω(-ω^2)^{α(1 - (k - k_F)/k_F) - 1/2}$, with $\hbar k_F$ the Fermi momentum.
title Gauge-gravity duality comes to the lab: evidence of momentum-dependent scaling exponents in the nodal electron self-energy of cuprate strange metals
topic Strongly Correlated Electrons
Superconductivity
url https://arxiv.org/abs/2402.10844