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arXiv 0712.0597cond-mat.mes-hallcond-mat.dis-nn
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石墨烯反常量子霍尔效应理论

Theory of Anomalous Quantum Hall Effects in Graphene

P. M. Ostrovsky, I. V. Gornyi, A. D. Mirlin

摘要:

最近在制造原子级薄石墨样品(石墨烯)方面的成功激发了强烈的实验和理论活动。石墨烯的关键特征是低能电子激发的无质量狄拉克类型。这导致了该系统的许多不寻常的物理性质,使其与传统的二维金属区分开来。石墨烯最显著的特性之一是反常的量子霍尔效应。它对系统的结构非常敏感;特别是,它可以清楚地区分单层和双层样品。尽管实验取得了令人印象深刻的进展,但石墨烯中的量子霍尔效应理论尚未建立。这一理论是本文的一个主题。我们证明了朗道能级结构本身不足以决定量子霍尔效应的形式。霍尔量子化是由于安德森局域化,在石墨烯中,这是非常特殊的,强烈地依赖于无序的性质。只有无序的特殊对称性才可能引起石墨烯中的反常量子霍尔效应。我们分析了无序单层和双层石墨烯在磁场中的对称性,并确定了反常霍尔量子化的条件。

英文摘要:

Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This gives rise to a number of unusual physical properties of this system distinguishing it from conventional two-dimensional metals. One of the most remarkable properties of graphene is the anomalous quantum Hall effect. It is extremely sensitive to the structure of the system; in particular, it clearly distinguishes single- and double-layer samples. In spite of the impressive experimental progress, the theory of quantum Hall effect in graphene has not been established. This theory is a subject of the present paper. We demonstrate that the Landau level structure by itself is not sufficient to determine the form of the quantum Hall effect. The Hall quantization is due to Anderson localization which, in graphene, is very peculiar and depends strongly on the character of disorder. It is only a special symmetry of disorder that may give rise to anomalous quantum Hall effects in graphene. We analyze the symmetries of disordered single- and double-layer graphene in magnetic field and identify the conditions for anomalous Hall quantization.

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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