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arXiv 1109.0884cond-mat.mes-hall
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石墨烯锯齿形边缘的Dirac边界条件

Dirac boundary condition at the reconstructed zigzag edge of graphene

J. A. M. van Ostaay, A. R. Akhmerov, C. W. J. Beenakker, M. Wimmer

摘要:

边缘重构修改有限石墨烯样品的电子性质。我们制定了一个低能量理论的重建锯齿形边缘推导出修改后的边界条件的狄拉克方程。如果重构边缘的单位单元尺寸相对于Z字形单位单元不是三的倍数,则谷保持不耦合,并且边缘重构由单个角度参数$\vartheta$来解释。色散边缘状态一般存在,除非$|\vartheta| = π/2$。我们计算$\vartheta$从微观模型的“reczag”重建(两个六边形转换成一个五边形,七边形对),并表明它可以通过测量的局部态密度。在磁场中,最低朗道能级出现三个不同的边缘模,其中两个是反向传播的。

英文摘要:

Edge reconstruction modifies the electronic properties of finite graphene samples. We formulate a low-energy theory of the reconstructed zigzag edge by deriving the modified boundary condition to the Dirac equation. If the unit cell size of the reconstructed edge is not a multiple of three with respect to the zigzag unit cell, valleys remain uncoupled and the edge reconstruction is accounted for by a single angular parameter $\vartheta$. Dispersive edge states exist generically, unless $|\vartheta| = π/2$. We compute $\vartheta$ from a microscopic model for the "reczag" reconstruction (conversion of two hexagons into a pentagon-heptagon pair) and show that it can be measured via the local density of states. In a magnetic field there appear three distinct edge modes in the lowest Landau level, two of which are counterpropagating.

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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