AI 中文总结
研究弱相互作用二维准晶中的非费米液体行为，以彭罗斯和阿曼 - 贝克尔镶嵌为模型，在弱耦合微扰框架内分析相关性质，揭示索末菲系数等的异常温度依赖性、自旋涨落增强及残余散射率等特征，为分析实验数据和确定微观机制提供指导。
AI 中文摘要
非费米液体（NFL）行为通常与强电子关联、量子临界性或使准粒子图像无效的奇异涨落相关。准晶为这类物理提供了一条根本不同的途径：即使在没有电子 - 电子相互作用的情况下，其缺乏平移对称性也会产生临界单粒子态和碎片化光谱。本文通过数值研究弱相互作用准晶中的NFL行为。以彭罗斯和阿曼 - 贝克尔镶嵌为代表的准周期系统，在弱耦合微扰框架内分析热力学、磁性和输运性质。结果表明索末菲系数和磁化率呈现异常温度依赖性，威尔逊比率显示低温NFL行为伴随自旋涨落增强，自能呈现异常标度和有限残余散射率，位点分辨分析揭示高态密度区域残余散射率显著增强。这些结果为分析准晶实验数据及确定NFL行为微观机制提供了指导。
英文摘要
Non-Fermi-liquid (NFL) behavior is usually associated with strong electronic correlations, quantum criticality, or singular fluctuations that invalidate the quasiparticle picture. Quasicrystals are known to provide a fundamentally different route to such physics: their lack of translational symmetry gives rise to critical single-particle states and fragmented spectra even in the absence of electron-electron interactions. Here, we numerically study the NFL behaviors in quasicrystals with weak interactions. Using Penrose and Ammann--Beenker tilings as representative quasiperiodic systems, we analyze thermodynamic, magnetic, and transport properties within a weak-coupling perturbative framework. The Sommerfeld coefficient and magnetic susceptibility show anomalous temperature dependences governed by the singular energy dependence of the density of states near the Fermi level. The Wilson ratio reveals that low-temperature NFL behavior in quasicrystals is accompanied by enhanced spin fluctuations over a broad range of filling fractions, while its magnitude and temperature dependence vary sensitively with filling fraction. The self-energy shows anomalous scaling and a finite residual scattering rate, indicating the breakdown of quasiparticles. Our site-resolved analysis reveals a pronounced enhancement of the residual scattering rate in regions with a high local density of states. These results serve as a guide to analyze experimental data for quasicrystals and to identify the microscopic mechanism of the NFL behaviors.
Comments21 pages, 16 figures
