Chambers’s Formula for the Graphene and the Hou Model with Kagome Periodicity and Applications

Chambers’s Formula for the Graphene and the Hou Model with Kagome Periodicity and Applications
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石墨烯的钱伯斯公式和具有 Kagome 周期性的侯模型及其应用

DOI:
10.1007/s00023-015-0415-z
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发表时间:
2014
期刊:
Annales Henri Poincaré
影响因子:
--
通讯作者:
Jimena Royo
Jimena Royo
中科院分区:
--
文献类型:
--
作者:
B. Helffer;P. Kerdelhué;Jimena Royo

文献摘要

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本文的目的是证明,对于石墨烯模型,如物理学家侯在kagome晶格上所考虑的模型,存在一个公式,该公式类似于Chambers在有理通量的情况下针对哈珀模型所得到的公式。作为一个应用,我们提出了一个半经典分析的频谱附近的平坦带的侯蝶。
The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the one obtained by Chambers for the Harper model in the case of the rational flux. As an application, we propose a semi-classical analysis of the spectrum of the Hou butterfly near a flat band.