arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.05475cond-mat.mes-hallcond-mat.mtrl-sci
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一维莫尔超晶格的Dirac-Harper理论

Dirac-Harper Theory for One Dimensional Moiré Superlattices

Abigail Timmel, E. J. Mele

摘要:

研究了双层超晶格的Dirac Harper模型,其中层反对称应变周期性地调制了一维蜂窝晶格之间的层间耦合。离散和连续的配方,这个模型进行了分析。对于足够长的莫尔周期,我们发现低能量谱,主机从一个层次的动量和位置相关的质量反转所产生的弱色散带的歧管。我们分析他们的电荷分布,模式计数和谷相干使用精确的对称性的晶格模型和近似对称性的四味版本的Jackiw-Rebbi一维解决方案。

英文摘要:

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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