绝热性交叉：从安德森局域到普朗克扩散
Adiabaticity Crossover: From Anderson Localization to Planckian Diffusion
AI总结：
研究通过量子-声学视角揭示电子输运中绝热性与相位失真之间的交叉，发现普朗克域内扩散率与温度关系，为奇异金属电阻率提供新见解。
摘要：
我们从量子-声学的角度研究一维电子输运，其中相干态表示的晶格振动导致一个时间依赖的变形势能，其变化速率由声速设定，波动谱由温度设定，整体幅度由电子-晶格耦合强度设定。我们引入了一个基于加速度的绝热判据，与绝热定理和兰道-泽纳理论一致，能够在(T,v)平面中区分绝热和非绝热动态。离散分类与连续的均方加速度尺度一致，并与由相干长度与初始包络宽度之比L_ϕ(t)/σ_0给出的相干度相关。我们识别出一个广泛的普朗克域，在该域中无量纲扩散率α！=Dm/ħ为单位量级，并且仅弱依赖于参数。该域在非绝热区域和相位相干性降低的区域更为普遍，表明由相位失真驱动的从安德森局域到普朗克扩散的交叉。利用爱因斯坦关系与近似恒定的α，我们直接得到低温趋势1/τ_tr∝T，为奇异金属中T-线性电阻率提供见解。这些结果提供了一个统一的图景，将绝热性、相位失真和普朗克扩散在动态无序量子-声学中联系起来。
英文摘要：
We investigate electron transport in one dimension from the quantum-acoustic perspective, where the coherent-state representation of lattice vibrations results in a time-dependent deformation potential whose rate is set by the sound speed, fluctuation spectrum is set by the temperature, and overall amplitude is set by the electron-lattice coupling strength. We introduce an acceleration-based adiabatic criterion, consistent with the adiabatic theorem and Landau-Zener theory, that separates adiabatic and diabatic dynamics across the $(T,v)$ plane. The discrete classification agrees with a continuous mean-squared acceleration scale and correlates with a coherence measure given by the ratio of coherence length to the initial packet width $L_ϕ(t)/σ_0$. We identify a broad Planckian domain in which the dimensionless diffusivity $α\!=\!Dm/\hbar$ is of order unity and only weakly depends on the parameters. This domain is more prevalent in diabatic regions and in areas of reduced phase coherence, indicating a dephasing driven crossover from Anderson localization to Planckian diffusion. Using the Einstein relation together with nearly constant $α$, we directly obtain a low temperature tendency $1/τ_{\rm tr}\propto T$, offering a insight to $T$-linear resistivity in strange metals. These results provide a unified picture that links adiabaticity, dephasing, and Planckian diffusion in dynamically disordered quantum-acoustics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
