Source capture
Authors Udomsilp Pinsook, Pakin Tasee, Jakkapat Seeyangnok
arXiv / Publisher https://arxiv.org/abs/2603.09665
PDF https://arxiv.org/pdf/2603.09665
Relevance score 3.491
Primary category cond-mat.str-el
Published 2026-03-11
Research paradigm Both
Sample form Unknown

Summary

This study proposes that incoherent electronic states in strongly correlated materials arise not from disorder or material-specific mechanisms, but from self-generated dynamical disorder induced by competing fluctuations. In this marginal dynamical regime, electron dynamics naturally couple with time-dependent scattering, yielding the spectral function form ρ(z)=exp(-z2/4)D_ν(z), where z is the scaled energy, D_ν is the parabolic cylinder function, and ν=-1/2 is fixed. By independently scaling the angle-resolved photoemission spectroscopy (ARPES) energy distribution curves of the cuprates Nd2-xCexCuO4 and Bi2Sr2CaCu2O8+δ, the Kagome metal CsCr3Sb5, and the bilayer nickelate La3Ni2O7, all datasets collapse onto a single universal curve, with only the amplitude and energy scale varying among materials. This spectral collapse indicates that microscopic details such as lattice geometry, band structure, and chemical composition become irrelevant in the low-energy regime, exhibiting fixed-point-like dynamical behavior. The result establishes a unified quantitative framework for the continuously dominant ARPES spectra across diverse strongly correlated materials.

Materials

Methods

  • ARPES
  • theoretical modeling using path integral
  • parabolic cylinder function fitting
  • scaling analysis

Keywords

  • universal spectral collapse
  • marginal dynamical regime
  • incoherent spectra
  • non markovian dynamics
  • parabolic cylinder function
  • fixed point behavior
  • strongly correlated materials

Highlights

  • The scaling function ρ(z) = exp(-z2/4) D_ν(z) with ν=-1/2 describes the incoherent spectra quantitatively.
  • The collapse is robust across cuprate, nickelate, and Kagome compounds, despite differences in material properties.
  • The observed universality indicates self-generated dynamical disorder from competing fluctuations, not extrinsic disorder.

Conclusions

  • After rescaling, the datasets collapse onto a single universal curve characterized by a fixed parabolic-cylinder order ν = -1/2.
  • This indicates a fixed-point-like regime in which microscopic details such as lattice geometry, band structure, and chemical composition become irrelevant at low energies.
  • These results establish a unified and quantitative framework for continuum-dominated ARPES spectra across diverse strongly correlated materials.

Main claims

  • Incoherent ARPES spectra from cuprates, nickelate, and Kagome compounds collapse onto a single universal curve described by ρ(z) = exp(-z2/4) D_ν(z) with ν = -1/2.
    • Evidence: abstract: 'After rescaling, the datasets collapse onto a single universal curve characterized by a fixed parabolic-cylinder order ν = -1/2',full_text Fig. 1 shows scaled data from Bi2212, NCCO, nickelate, Kagome falling on the same theoretical curve
  • This universal spectral form arises from a marginal dynamical regime with self-generated dynamical disorder from competing fluctuations, characterized by non-Markovian temporal correlations.
    • Evidence: abstract: 'incoherent spectra arise from self-generated dynamical disorder associated with competing fluctuations',full_text: 'the Gaussian temporal factor e-η2t2/2 reflects intrinsically non-Markovian dynamics'
  • The observed spectral collapse indicates a fixed-point-like regime where microscopic details (lattice geometry, band structure, composition) become irrelevant at low energies.
    • Evidence: abstract: 'observed spectral collapse indicates a fixed-point-like regime',full_text: 'microscopic details such as lattice geometry, band structure, and chemical composition become irrelevant at low energies'

Workflow

  • data_collection — Selected ARPES data represent the incoherent continuum regime.
    • Materials: ARPES energy distribution curves from cuprates Nd2-xCexCuO4 (NCCO), Bi2Sr2CaCu2O8+δ (Bi2212), Kagome metal CsCr3Sb5, and double-layer nickelate La3Ni2O7
    • Methods: literature data extraction
    • Observations: Spectra dominated by broad continuum features rather than sharp quasiparticle peaks
  • fitting_and_scaling_analysis — The universal scaling function quantitatively describes incoherent spectra across materials.
    • Materials: experimentally derived spectral functions I(ε,T)
    • Methods: fitting to ρ(ε) * f(ε,T) with ρ(z) = a exp(-z2/4) D_ν(z); auxiliary parabolic cylinder components included when needed
    • Observations: All datasets collapse onto the universal form after rescaling