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arXiv 0906.2209cond-mat.mes-hall
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石墨烯中nu=0量子霍尔效应之谜

The enigma of the nu=0 quantum Hall effect in graphene

S. Das Sarma, Kun Yang

摘要:

我们应用Laughlin的规范参数分析了当费米能级位于狄拉克点附近时在石墨烯中观察到的$ν=0$量子霍尔效应,并得出结论,这必然导致零温度热力学极限下的发散体纵向电阻率。我们进一步预测,在Corbino几何测量中,边缘输运和其他介观效应不重要,应该发现纵向电导率在所有具有潜在的$ν=0$量化霍尔效应的石墨烯样品中消失。我们认为,这种$ν=0$石墨烯量子霍尔态在性质上类似于普通半导体二维电子系统的最低朗道能级中的高场绝缘相(也称为霍尔绝缘体)。我们建立了具有高磁场和高迁移率样品的必要性,用于观察在石墨烯狄拉克点处存在的无序诱导的密度不均匀性所引起的发散电阻率。

英文摘要:

We apply Laughlin's gauge argument to analyze the $ν=0$ quantum Hall effect observed in graphene when the Fermi energy lies near the Dirac point, and conclude that this necessarily leads to divergent bulk longitudinal resistivity in the zero temperature thermodynamic limit. We further predict that in a Corbino geometry measurement, where edge transport and other mesoscopic effects are unimportant, one should find the longitudinal conductivity vanishing in all graphene samples which have an underlying $ν=0$ quantized Hall effect. We argue that this $ν=0$ graphene quantum Hall state is qualitatively similar to the high field insulating phase (also known as the Hall insulator) in the lowest Landau level of ordinary semiconductor two-dimensional electron systems. We establish the necessity of having a high magnetic field and high mobility samples for the observation of the divergent resistivity as arising from the existence of disorder-induced density inhomogeneity at the graphene Dirac point.

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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