AI 中文总结
本文通过数值分析实验相关的扭曲双层石墨烯模型，发现公度与非公度旋转角下的有限系统均存在混沌，边界作为单粒子散射机制强于单层石墨烯，可诱导混沌与扩散。
AI 中文摘要
我们对实验相关的扭曲双层石墨烯模型中的混沌与扩散进行了数值分析。结果表明，在公度和非公度旋转角下的有限系统均表现出混沌特性。为进一步理解与混沌谱相关的扩散过程，我们计算了中间旋转角下系统的Thouless能量。研究发现，非相互作用电子的平均自由程随系统尺寸缩放，这与边界诱导散射导致的扩散过程一致。综上，我们的结果表明，边界作为实验相关的单粒子散射机制，其作用远强于单层石墨烯，且无论旋转角和晶格公度性如何，都会诱导混沌与扩散。
英文摘要
We numerically analyze chaos and diffusion in experimentally-relevant models of twisted bilayer graphene. Our results indicate that finite systems at both commensurate and incommensurate rotation angles exhibit chaos. We compute the Thouless energy of the system at intermediate twist angles to further understand the diffusive processes associated with the chaotic nature of the spectrum. We find that the mean free path of the non-interacting electrons scales with the system size, which is consistent with diffusive processes caused by border-induced scattering. In summary, our results show the role of borders as a experimentally relevant single-particle scattering mechanism, which is much stronger than in single-layer graphene and induces chaos and diffusion regardless of the rotation angle and the lattice commensurability.
