论文标题

二锥式的入门:无质量的迪拉克·费米恩(Dirac Fermion

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

论文作者

Aggarwal, Deepanshu, Narula, Rohit, Ghosh, Sankalpa

论文摘要

最近在魔法扭曲的双层石墨烯中发现了超导性的,这引起了人们对$ sp^2 $碳的强烈相关物理的重新兴趣,与初步研究形成了鲜明的对比,这些调查由大量乳胶武装的一体物理学主导。因此,我们提供了从单粒子物理学主导的制度到平面频带强相关的物理学的独立理论观点。从凝聚态物质系统中的零点的起源开始,我们讨论了超级晶格对石墨烯中的费米速度和范霍夫奇异性的影响,以及它如何自然地导致对范德华瓦尔斯(Van der Waals)异质结构中的Moiré模式的调查,而石墨烯 - 甲氧烯 - 甲氧烯 - 甲状腺乙乙烯酸 - 甲状腺 - 甲氮甲硝基胺和扭曲的bilayerepere和Twisted Bilayereeremplene andemple andempection。随后,我们通过以教学的方式详细阐述各种著名的理论作品,同时将它们链接到适当的情况下,以教学的方式阐述,以魔法角度阐明了扭曲的双层石墨烯中平坦带的起源。最后,我们在研究中未涵盖的扭曲双层石墨烯的电子性质的研究中提供了一系列主题,但可以在此底漆的帮助下轻松地接近。

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.

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