发表机构
Stanford University; Google Quantum AI; Zhejiang University（斯坦福大学; 谷歌量子AI; 浙江大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究探讨扭转双层体系中扭转角无序对单粒子性质的影响，将扭转角建模为两层相对位移的旋度，发现其几何散射约束可大幅抑制动量弛豫，还将问题映射到非线性 sigma 模型。
AI 中文摘要
我们研究扭转角无序对扭转双层体系单粒子性质的影响。这类材料是研究微小、不受控空间变化如何变得异常重要的天然平台：扭转几何的局域变化会引发母哈密顿量的空间关联改变，进而影响衬底的粗粒化性质，如输运和有序倾向。与电磁学中磁场由矢量势的旋度描述类似，我们将扭转角建模为两层之间相对位移的旋度。我们发现，扭转结构施加的几何散射约束会相对于平均速率匹配的白噪声大幅抑制动量弛豫；我们量化了这些效应，并证明该问题可映射到非线性 sigma 模型（NLSM）。
英文摘要
We consider the effect of twist-angle disorder on the single-particle properties of twisted bilayer systems. These materials are a natural playground for studying how tiny, uncontrolled spatial variations may become unusually consequential; a local change in the twist geometry can give rise to spatially-correlated alterations of the parent Hamiltonian, which in turn affect the coarse-grained properties of the substrate such as transport and ordering tendencies. In analogy to electrodynamics, where the magnetic field is given by the curl of the vector potential, we model the twist angle as the curl of the relative displacement between the two bilayers. We find that geometric scattering constraints imposed here by the twist structure substantially suppress momentum relaxation relative to mean-rate-matched white noise. We quantify these effects and show that the problem can be mapped onto a non-linear sigma model (NLSM).
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