Quantum criticality and correlations in the cuprate superconductors

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-ω 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.

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