Hidden Universal Metal in Cuprate Superconductors

TL;DR

This paper proposes a universal metallic behavior in cuprate superconductors, linking nuclear relaxation rates to the critical temperature and revealing a crossover to a strange metal regime above T_c.

Contribution

It introduces a simple phenomenology based on nuclear relaxation data, identifying a universal metal in cuprates and its relation to doping, pseudogap, and critical temperature.

Findings

Universal metal characterized by 1/T1⊥ T_c ≈ 25/Ks in all cuprates.

Above T_c, a crossover to a strange metal regime occurs.

Doping-dependent anisotropy in Cu relaxation correlates with maximum T_c.

Abstract

Nuclear relaxation is a powerful probe of temperature dependent electronic excitations in superconducting metals. Their emergence from a condensed state near the critical temperature, $T_\mathrm{c}$, is of particular interest. In cuprate superconductors, the behavior is still not understood. Here, based on planar Cu and O relaxation data available in the literature, a simple phenomenology is developed. At its core is a universal metal, characterized by $1/{^{63}T}_{1\perp} T_\mathrm{c} \approx 25$/Ks, found in all materials, i.e. $T_\mathrm{c}$ is directly related to the Cu nuclear relaxation rate. Above $T_\mathrm{c}$, as a function of temperature, this universal metal crosses over into a strange metal regime where relaxation increasingly lags behind that of the universal metal. The latter is also tied to the metallic planar O relaxation, which only deviates from it at lower energies in underdoped materials with a doping dependent, but temperature independent pseudogap described earlier. Planar O relaxation has the expected fixed anisotropy, but for Cu it is doping dependent and varies between about 3.6 for lower and 1 for high doping levels. It is this doping-related anisotropy that sets the maximum critical temperature of the family and in that sense is tied to the universal metal. This likely requires two components of relaxation. The new phenomenology will be discussed and should give a better foundation for the understanding of the phase diagram of the cuprates.