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

Abstract

The anomalous strange metal phase found in high-$T_c$ 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)${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$ have a non-Lorentzian lineshape, meaning the nodal self-energy is $k$ dependent. 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 AdS/CFT-based semi-holography. This puts a spotlight on holographic methods for the quantitative modelling of strongly interacting quantum materials like the cuprate strange metals.

References in corpus (25)

• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Non-Fermi liquids from holography
• Energy gaps in high-transition temperature cuprate superconductors
• Universal theory of nonlinear Luttinger liquids
• Peculiar properties of a charged dilatonic black hole in AdS_5
• Semi-Holographic Fermi Liquids
• Carrier concentrations in Bi_{2}Sr_{2-z}La_{z}CuO_{6+δ} single crystals and their relation to Hall coefficient and thermopower
• Incoherent transport across the strange metal regime of highly overdoped cuprates
• Momentum anisotropy of the scattering rate in cuprate superconductors
• Holography and ARPES sum-rules
• Evidence for forward scattering and coupling to acoustic phonon modes in high-T${}_c$ cuprate superconductors
• 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
• Analytic fermionic Green's functions from holography
• Lectures on holographic non-Fermi liquids and quantum phase transitions
• Puddle formation, persistent gaps, and non-mean-field breakdown of superconductivity in overdoped (Pb,Bi)2Sr2CuO6+δ
• Nodal Quasiparticle Dispersion in Strongly Correlated d-wave Superconductors
• Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
• Effects, Determination, and Correction of Count Rate Nonlinearity in Multi-Channel Analog Electron Detectors
• A spectral function tour of electron-phonon coupling outside the Migdal limit
• Power-law liquid in cuprate superconductors from fermionic unparticles
• Phenomenological model for the normal state ARPES line shapes of high temperature superconductors
• Towards a field-theory interpretation of bottom-up holography
• Ubiquitous suppression of the nodal coherent spectral weight in Bi-based cuprates
• General analysis of the ARPES line shape for strongly correlated electron systems