Quantum criticality and correlations in the cuprate superconductors

TL;DR

This paper investigates the quantum critical behavior in hole-doped cuprate superconductors using a Hubbard model framework, revealing that their linear temperature resistivity stems from scale-invariant physics related to electronic correlations.

Contribution

It introduces a novel analysis of electronic correlations via charge and spin fermions, providing quantitative agreement with experimental transport properties in cuprates.

Findings

Excellent match with experimental linear-$ au$ scattering rates

Normal-state linear-$T$ resistivity explained by scale-invariant physics

Supports the role of quantum criticality in cuprate behavior

Abstract

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 is used to access further information on the origin of quantum critical behavior in the hole-doped cuprate superconductors. Excellent quantitative agreement with their anisotropic linear-$\omega$ one-electron scattering rate and normal-state linear-$T$ resistivity is achieved. Our results provide strong evidence that the normal-state linear-$T$ resistivity is indeed a manifestation of low-temperature scale-invariant physics.