Electronic Phase Diagram of High-T_c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature

TL;DR

This paper introduces Resistivity Curvature Mapping (RCM) as an effective method to construct electronic phase diagrams of high-T_c cuprates, revealing the pseudogap crossover and suggesting a narrow quantum critical regime.

Contribution

It presents a novel RCM technique for mapping phase diagrams and identifying crossovers in high-T_c cuprates, emphasizing its universality and implications for quantum criticality.

Findings

RCM effectively identifies pseudogap crossover lines

Universal behavior observed across different cuprate compounds

Electronic crossover near optimal doping is abrupt

Abstract

We propose that Resistivity Curvature Mapping (RCM) based on the in-plane resistivity data is a useful way to objectively draw an electronic phase diagrams of high-T_c cuprates, where various crossovers are important. In particular, the pseudogap crossover line can be conveniently determined by RCM. We show experimental phase diagrams obtained by RCM for Bi_{2}Sr_{2-z}La_{z}CuO_{6+\delta}, La_{2-x}Sr_{x}CuO_{4}, and YBa_{2}Cu_{3}O_{y}, and demonstrate the universal nature of the pseudogap crossover. Intriguingly, the electronic crossover near optimum doping depicted by RCM appears to occur rather abruptly, suggesting that the quantum critical regime, if exists, must be very narrow.