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arXiv 2212.04801cond-mat.mes-hallcond-mat.str-elquant-ph
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双电子学入门:无质量狄拉克费米子在扭曲双层石墨烯中的莫尔图案和平带之旅

A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene

Deepanshu Aggarwal, Rohit Narula, Sankalpa Ghosh

摘要:

最近在魔角扭曲双层石墨烯中发现的超导性引发了人们对$sp^2$碳的强关联物理的新兴趣,这与由无质量狄拉克费米子的单体物理主导的初步研究形成鲜明对比。因此,我们提供了一个独立的,理论的角度来看,石墨烯的旅程,从单粒子物理为主的制度,强相关的物理平带。从凝聚态系统中狄拉克点的起源开始,我们讨论了超晶格对石墨烯中费米速度和范霍夫奇点的影响,以及它如何自然地导致对以石墨烯-六方氮化硼和扭曲双层石墨烯为例的范德华异质结构中的莫尔图案的研究。随后,我们阐明了扭曲的双层石墨烯中的魔术角度的平坦带的起源,详细阐述了广泛的突出的理论工作在教学的方式,同时将它们链接到可用的实验支持,在适当的情况下。最后,我们提供了一个列表中的主题在扭曲的双层石墨烯的电子性质的研究不包括在这篇评论,但可以很容易地接近这个底漆的帮助。

英文摘要:

The recent discovery of superconductivity in magic-angle twisted bilayer graphene has sparked a renewed interest in the strongly-correlated physics of $sp^2$ carbons, in stark contrast to preliminary investigations which were dominated by the one-body physics of the massless Dirac fermions. We thus provide a self-contained, theoretical perspective of the journey of graphene from its single-particle physics-dominated regime to the strongly-correlated physics of the flat bands. Beginning from the origin of the Dirac points in condensed matter systems, we discuss the effect of the superlattice on the Fermi velocity and Van Hove singularities in graphene and how it leads naturally to investigations of the moiré pattern in van der Waals heterostructures exemplified by graphene-hexagonal boron-nitride and twisted bilayer graphene. Subsequently, we illuminate the origin of flat bands in twisted bilayer graphene at the magic angles by elaborating on a broad range of prominent theoretical works in a pedagogical way while linking them to available experimental support, where appropriate. We conclude by providing a list of topics in the study of the electronic properties of twisted bilayer graphene not covered by this review but may readily be approached with the help of this primer.

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。

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