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arXiv 0712.0765cond-mat.mes-hall
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关于石墨烯紧束缚模型的注记

Remarks on the tight-binding model of graphene

Cristina Bena, Gilles Montambaux

摘要:

我们解决了一个简单但基本的问题,在石墨烯的研究,以及其他系统,具有一个以上的每个单元电池的原子的晶体结构。对于这些系统,选择严格约束的基础并不是唯一的。对于单层石墨烯,文献中广泛使用两种碱。虽然描述物理量的算子的期望值应该与基无关,但算子的形式可能取决于基,特别是在存在无序或施加磁场的情况下。使用某些算子的不适当形式可能导致错误的物理预测。我们讨论了用于描述单层石墨烯的两种基底,以及两种基底中最常用的算子的形式。我们对双层石墨烯的情况重复我们的分析。

英文摘要:

We address a simple but fundamental issue arising in the study of graphene, as well as of other systems that have a crystalline structure with more than one atom per unit cell. For these systems, the choice of the tight-binding basis is not unique. For monolayer graphene two bases are widely used in the literature. While the expectation values of operators describing physical quantities should be independent of basis, the form of the operators may depend on the basis, especially in the presence of disorder or of an applied magnetic field. Using the inappropriate form of certain operators may lead to erroneous physical predictions. We discuss the two bases used to describe monolayer graphene, as well as the form of the most commonly used operators in the two bases. We repeat our analysis for the case of bilayer graphene.

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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