发表机构
National University of Singapore; Centre for Quantum Technologies, National University of Singapore; Yukawa Institute for Theoretical Physics, Kyoto University（新加坡国立大学; 新加坡国立大学量子技术中心; 京都大学汤川理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出非局域性机制解释高温超导体的标度协变自能，建立流体动力学屏蔽唯象理论，指出非局域性可替代量子临界性解释相关现象。
AI 中文摘要
近年来高温超导体实验发现了一种令人困惑的节点标度协变自能，其指数随掺杂连续变化。我们提出一种机制：由屏蔽不良的有效排斥势V_α(r)~1/r^α引发的非局域性，其中1≤α≤3的掺杂依赖连续指数自然地在莫特绝缘和费米液体极限间插值。我们建立流体动力学屏蔽的唯象理论，得到能量ω和温度T下的标度协变准粒子衰减率Γ(ω,T)∝T^γΦ(ω/T)，对于非局域1<α<2，γ=2−1/α。我们的结果可自然描述最优掺杂到过掺杂区域，而欠掺杂区域在性质上截然不同。在该理论中，光谱学拟合的指数可直接探测带电流体的有效空间非局域性。非局域性表明量子临界性并非解释标度协变现象的必要条件。
英文摘要
Photoemission spectroscopy on high $T_c$ superconductors find a puzzling nodal self-energy with $ω/T$ scaling and an exponent varying continuously with doping. We propose a mechanism: nonlocality induced by poorly screened effective repulsions $V_α(r) \sim 1/r^α$, where a continuously doping-dependent exponent $1 \le α\le 3$ interpolates between the Mott insulating and Fermi liquid limits. We develop a phenomenology of hydrodynamic screening, finding a scale-covariant quasiparticle decay rate $Γ(ω,T) \propto T^γ Φ(ω/T)$ in energy $ω$ and temperature $T$, with $γ= 2-\frac{1}α$ for nonlocal $ 1 < α< 2$. Our results naturally capture the optimally doped to overdoped regimes, whereas the underdoped regime is qualitatively distinct. In our theory, spectroscopy-fitted exponents directly probe the charged fluid's effective spatial nonlocality, providing a way to falsify the theory by comparing photoemission spectroscopy against electron energy loss spectroscopy. More broadly, nonlocality cautions us to not immediately infer quantum critical phenomena when $ω/T$ scaling is experimentally observed.
Comments7 pages, 1 figure v2 changes: Tightened and spiced up the predictions for experimental falsification. Removed discussion interesting but tangential to the refocused narrative and will expand on it elsewhere
