论文标题

一维Moiré超级晶格

Dirac-Harper Theory for One Dimensional Moiré Superlattices

论文作者

Timmel, Abigail, Mele, E. J.

论文摘要

我们研究了MoiréBiyer超级晶格的Dirac Harper模型,其中层反对称应变会定期调节一个空间维度的两个蜂窝晶格之间的层间耦合。分析了该模型的离散和连续公式。在足够长的莫伊尔时期,我们发现低能光谱是由动量和位置依赖性质量反转的层次结构产生的一系列弱分散带的多种流程。我们使用晶格模型的精确对称性以及jackiw-rebbi一个维度解决方案的四种味道版本的近似对称性分析了它们的电荷分布,模式计数和山谷固定。

We study a Dirac Harper model for moiré bilayer superlattices where layer antisymmetric strain periodically modulates the interlayer coupling between two honeycomb lattices in one spatial dimension. Discrete and continuum formulations of this model are analyzed. For sufficiently long moiré period the we find low energy spectra that host a manifold of weakly dispersive bands arising from a hierarchy of momentum and position dependent mass inversions. We analyze their charge distributions, mode count and valley-coherence using exact symmetries of the lattice model and approximate symmetries of a four-flavor version of the Jackiw-Rebbi one dimensional solution.

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