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arXiv 0905.1928cond-mat.mes-hall
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偏压双层石墨烯中的量子霍尔效应

Quantum Hall Effect in Biased Bilayer Graphene

R. Ma, L. J. Zhu, L. Sheng, M. Liu, D. N. Sheng

摘要:

基于紧束缚模型,数值研究了无序条件下偏压双层石墨烯中的量子霍尔效应.在带中心附近观察到具有量子化电导率$σ_{xy}=νe^2/h$(其中$ν$是任意整数)的量子霍尔平台,这是由于向两层添加相反的电压偏压而分裂谷简并。中心($n=0$)狄拉克朗道能级也分裂,这导致明显的$ν=0$平台。这与价带和导带之间的相当大的间隙的开放是一致的。开放系统中的精确光谱进一步揭示了在零能量附近没有导电边缘态,表明具有零电导的绝缘体态。因此,电阻率应在狄拉克点处发散。有趣的是,$ν=0$绝缘状态可以被破坏的无序散射与中等强度,在金属区域附近观察到零能量。在强无序区,由于扩展能级向带中心上浮,$ν$不为零的霍尔平台被破坏,更高的平台首先消失。

英文摘要:

We numerically study the quantum Hall effect in biased bilayer graphene based on a tight-binding model in the presence of disorder. Integer quantum Hall plateaus with quantized conductivity $σ_{xy}=νe^2/h$ (where $ν$ is any integer) are observed around the band center due to the split of the valley degeneracy by an opposite voltage bias added to the two layers. The central ($n=0$) Dirac Landau level is also split, which leads to a pronounced $ν=0$ plateau. This is consistent with the opening of a sizable gap between the valence and conduction bands. The exact spectrum in an open system further reveals that there are no conducting edge states near zero energy, indicating an insulator state with zero conductance. Consequently, the resistivity should diverge at Dirac point. Interestingly, the $ν=0$ insulating state can be destroyed by disorder scattering with intermediate strength, where a metallic region is observed near zero energy. In the strong disorder regime, the Hall plateaus with nonzero $ν$ are destroyed due to the float-up of extended levels toward the band center and higher plateaus disappear first.

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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