Nature of the Nodal Kink in Angle-Resolved Photoemission Spectra of Cuprate Superconductors

TL;DR

This paper presents a theoretical model based on Migdal-Eliashberg theory that successfully reproduces the ubiquitous nodal kink observed in ARPES spectra of cuprate superconductors, providing a unified understanding across different materials and doping levels.

Contribution

The study introduces a detailed theoretical framework linking the electron-phonon coupling parameter to the nodal kink, clarifying the distinction between coupling and mass-enhancement parameters for interpreting ARPES data.

Findings

Excellent agreement between theory and experiment across multiple cuprate samples.

Unified description of the nodal kink effect for various doping levels.

Model applicability varies with energy range and doping, covering full spectra in some cases.

Abstract

The experimental finding of an ubiquitous kink in the nodal direction of angle-resolved photoemission spectroscopies of superconducting cuprates has been reproduced theoretically. Our model is built upon the Migdal-Eliashberg theory for the electron self-energy within the phonon-coupling scenario. Following this perturbative approach, a numerical evaluation of the bare band dispersion energy in terms of the electron-phonon coupling parameter $\lambda$ allows a unified description of the nodal-kink effect. Our study reveals that distinction between $\lambda$ and the technically defined mass-enhancement parameter $\lambda^{*}$ is relevant for the quantitative description of data, as well as for a meaningful interpretation of previous studies. A remarkable agreement between theory and experiment has been achieved for different samples and at different doping levels. The full energy spectrum is covered in the case of LSCO, Bi2212 and overdoped Y123. In the case of underdoped Y123, the model applies to the low energy region (close to Fermi level).