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Dirac cones for graph models of multilayer AA-stacked graphene sheets
Zeitschrift für Naturforschung A ( IF 1.8 ) Pub Date : 2021-04-01 , DOI: 10.1515/zna-2020-0330
César R. de Oliveira 1 , Vinícius L. Rocha 1
Affiliation  

We propose an extension, of a quantum graph model for a single sheet of graphene, to multilayer AA-stacked graphene and also to a model of the bulk graphite. Spectra and Dirac cones are explicitly characterized for bilayer and trilayer graphene, as well as for graphite. For weak layer interaction (as proposed in the text), simple perturbation arguments also cover any number of layers and it mathematically recovers basic cone existences from the theoretical and experimental physics literature; its main strength is its simplicity.

中文翻译:

Dirac锥用于多层AA堆叠石墨烯片的图形模型

我们提出了将单张石墨烯的量子图模型扩展到多层AA堆叠石墨烯以及本体石墨的模型的扩展。Spectra和Dirac锥明确地用于双层和三层石墨烯以及石墨。对于弱层相互作用(如本文所述),简单的扰动参数也可以覆盖任意层,并且可以从理论和实验物理学文献中数学地恢复基本锥的存在。它的主要优点是简单。
更新日期:2021-04-02
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