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arXiv 1106.4835cond-mat.mes-hall
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石墨烯中的相关带电杂质散射

Correlated charged impurity scattering in graphene

Jun Yan, Michael S. Fuhrer

摘要:

理解石墨烯中的无序对于电子应用至关重要;与传统材料相比,石墨烯中非常低的电子-声子散射1,2意味着即使在室温下,无序3 -7也主导其电阻率。带电杂质5,8-10已被确定为SiO2衬底上石墨烯中的重要无序类型11,12,其给出了接近线性的载流子密度依赖性电导率σ(n),并产生电子和空穴池13 -15,其决定了石墨烯的最小电导率σ min 10的大小。已知带电杂质的相关性对于在远距离掺杂的杂质半导体异质结构16 -18中实现最高迁移率是必不可少的,并且在有限温度下在某种程度上存在于任何杂质系统中。在这里,我们表明,即使是适度的相关性,在带电杂质的位置,实现退火钾在石墨烯上,可以增加流动性的四倍以上。考虑到杂质相关长度与温度有关但与杂质密度无关,理论上可以很好地理解这些结果。杂质相关性也自然地解释了通常在衬底结合的石墨烯器件中观察到的次线性σ(n)2,11,12,20。

英文摘要:

Understanding disorder in graphene is essential for electronic applications; in contrast to conventional materials, the extraordinarily low electron-phonon scattering1, 2 in graphene implies that disorder3-7 dominates its resistivity even at room temperature. Charged impurities5, 8-10 have been identified as an important disorder type in graphene on SiO2 substrates11, 12, giving a nearly linear carrier-density-dependent conductivity σ(n), and producing electron and hole puddles13-15 which determine the magnitude of graphene's minimum conductivity σmin10. Correlations of charged impurities are known to be essential in achieving the highest mobilities in remotely-doped semiconductor heterostructures16-18, and are present to some degree in any impurity system at finite temperature. Here we show that even modest correlations in the position of charged impurities, realized by annealing potassium on graphene, can increase the mobility by more than a factor of four. The results are well understood theoretically19 considering an impurity correlation length which is temperature dependent but independent of impurity density. Impurity correlations also naturally explain the sub-linear σ(n) commonly observed in substrate-bound graphene devices2, 11, 12, 20.

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