State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 865 Changning Road, Shanghai, 200050, China.
CAS Center for Excellence in Superconducting Electronics(CENSE), Shanghai, 200050, China.
Sci Rep. 2017 Aug 25;7(1):9469. doi: 10.1038/s41598-017-09792-z.
The strongly correlated electron fluids in high temperature cuprate superconductors demonstrate an anomalous linear temperature (T) dependent resistivity behavior, which persists to a wide temperature range without exhibiting saturation. As cooling down, those electron fluids lose the resistivity and condense into the superfluid. However, the origin of the linear-T resistivity behavior and its relationship to the strongly correlated superconductivity remain a mystery. Here we report a universal relation [Formula: see text], which bridges the slope of the linear-T-dependent resistivity (dρ/dT) to the London penetration depth λ at zero temperature among cuprate superconductor BiSrCaCuO and heavy fermion superconductors CeCoIn, where μ is vacuum permeability, k is the Boltzmann constant and ħ is the reduced Planck constant. We extend this scaling relation to different systems and found that it holds for other cuprate, pnictide and heavy fermion superconductors as well, regardless of the significant differences in the strength of electronic correlations, transport directions, and doping levels. Our analysis suggests that the scaling relation in strongly correlated superconductors could be described as a hydrodynamic diffusive transport, with the diffusion coefficient (D) approaching the quantum limit D ~ ħ/m*, where m* is the quasi-particle effective mass.
高温铜酸盐超导体中的强关联电子流体表现出异常的线性温度（T）依赖电阻率行为，这种行为在很宽的温度范围内持续存在，没有表现出饱和。随着冷却，这些电子流体失去电阻并凝聚成超流。然而，线性 T 电阻率行为的起源及其与强关联超导性的关系仍然是一个谜。在这里，我们报告了一个普遍的关系[公式：见文本]，它将线性 T 依赖电阻率（dρ/dT）的斜率与铜酸盐超导体 BiSrCaCuO 和重费米子超导体 CeCoIn 中的伦敦穿透深度 λ 联系起来，其中 μ 是真空磁导率，k 是玻尔兹曼常数，ħ 是约化普朗克常数。我们将这个标度关系扩展到不同的系统，并发现它也适用于其他铜酸盐、磷化物和重费米子超导体，尽管电子关联强度、输运方向和掺杂水平存在显著差异。我们的分析表明，强关联超导体中的标度关系可以描述为一种流体力学扩散输运，其中扩散系数（D）接近量子极限 D ~ ħ/m*，其中 m*是准粒子有效质量。
