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arXiv 1507.05023cond-mat.mes-hall
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研究了石墨烯(II .分数量子霍尔效应)

A study of the magnetotransport properties of the graphene (II. Fractional Quantum Hall Effect)

M. A. Hidalgo

摘要:

我们提出了一种在石墨烯(GSHHE)中观察到的分数量子霍尔效应的方法,该方法基于我们先前为嵌入量子阱(GSHHE)中的二维电子系统中的分数量子霍尔效应开发的模型[Hidalgo,2013(*)]。提出的二维电子气(2DEG)哈密顿量对称性破缺的基本思想是:在磁场作用下,由于电离杂质而产生静电势时,二维电子气中每个电子的哈密顿量对称性破缺。随着磁场的增加,静电势的影响也在变化,从而改变了哈密顿量的空间对称性:从连续到离散。该模型提供了在石墨烯中观察到的奇数分数态和相应的平台,p/3,p是任何整数。

英文摘要:

We present an approach to the fractional quantum Hall effect observed in grapheme (GFQHE), basing us on the model developed previously for the fractional quantum Hall effect in a two-dimensional electron system embedded in a quantum well (FQHE) [Hidalgo, 2013(*)]. The main idea in the view proposed f0r the FQHE is the breaking of the symmetry of the Hamiltonian of every electron in a two-dimensional electron gas (2DEG) under the application of a magnetic field and in the presence of an electrostatic potential due to the ionized impurities. As the magnetic field increases the effect of that electrostatic potential evolves; changing in turn the spatial symmetry of the Hamiltonian: from continuous to discrete one. The model provides the odd fractional states, and corresponding plateaux, p/3, p being any integer, observed in 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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