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单层石墨烯中[公式:见正文]分数量子霍尔效应态意外出现的解释。

Explanation of an unexpected occurrence of [Formula: see text] fractional quantum Hall effect states in monolayer graphene.

作者信息

Jacak Janusz E

机构信息

Department of Quantum Technologies, Wrocław University of Science and Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland.

出版信息

J Phys Condens Matter. 2019 Nov 27;31(47):475601. doi: 10.1088/1361-648X/ab3998. Epub 2019 Aug 8.

Abstract

Recent experiment reveals the appearance of incompressible fractional quantum Hall effect states in monolayer graphene at [Formula: see text] and [Formula: see text] [Formula: see text], [Formula: see text] [Formula: see text] substituting the compressible Hall metal states at these fillings in the lowest Landau level in a narrow magnetic field window depending on the sample parameters. Simultaneously, none such behavior has been observed either for [Formula: see text] or [Formula: see text] [Formula: see text], [Formula: see text] [Formula: see text]. We propose an explanation of these observations in terms of homotopy of monolayer graphene in consistence with a general theory of correlated states in planar Hall systems.

摘要

最近的实验表明,在单层石墨烯中,在[公式:见正文]和[公式:见正文][公式:见正文]、[公式:见正文][公式:见正文]处出现了不可压缩的分数量子霍尔效应态,在狭窄的磁场窗口中,这些态在最低朗道能级取代了这些填充下的可压缩霍尔金属态,这取决于样品参数。同时,对于[公式:见正文]或[公式:见正文][公式:见正文]、[公式:见正文][公式:见正文],均未观察到这种行为。我们根据单层石墨烯的同伦性,结合平面霍尔系统中相关态的一般理论,对这些观测结果提出了一种解释。

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