One-electron scattering rate and normal-state linear-$T$ resistivity of the cuprates

TL;DR

This paper models the linear temperature-dependent resistivity in hole-doped cuprates using a Hubbard model framework, showing strong agreement with experimental data and suggesting a scale-invariant origin of this behavior.

Contribution

It introduces a detailed theoretical description of electronic correlations in cuprates that accurately reproduces observed resistivity and scattering rates, highlighting the role of low-temperature scale-invariant physics.

Findings

Quantitative agreement with experimental resistivity data

Identification of low-temperature scale-invariant physics as a key factor

Successful modeling of anisotropic one-electron scattering rates

Abstract

Here we use a description of the electronic correlations contained in the Hubbard model on the square-lattice perturbed by very weak three-dimensional uniaxial anisotropy in terms of the residual interactions of charge $c$ fermions and spin-neutral composite two-spinon $s1$ fermions. Excellent quantitative agreement with the anisotropic linear-$\omega$ one-electron scattering rate and normal-state linear-$T$ resistivity observed in experiments on hole-doped cuprates with critical concentrations $x_c\approx 0.05$ and $x_*\approx 0.27$ is achieved. Our results provide strong evidence that the normal-state linear-$T$ resistivity is a manifestation of low-temperature scale-invariant physics.