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arXiv 1402.5879cond-mat.mes-hall
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含共振散射体的扭曲双层石墨烯的电子结构和量子输运

Electronic structure and quantum transport in twisted bilayer graphene with resonant scatterers

Omid Faizy Namarvar, Ahmed Missaoui, Laurence Magaud, Didier Mayou, Guy Trambly de Laissardière

摘要:

堆叠层状材料显示出是一种非常强大的方法来定制它们的电子特性。理论上和实验上确实已经表明,具有旋转角$θ$的石墨烯(tBLG)的扭曲双层形成莫尔图案,以可调谐的方式限制电子作为$θ$的函数。在这里,我们研究电子结构和运输tBLG使用紧束缚的数值计算在相称的扭曲双层结构和微扰连续理论,这是有效的不太小的角度($θ> \sim 2^\circ $)。这两种方法允许理解的效果$θ$上的局域态密度,由于无序的电子寿命,直流电导率和量子校正的电导率由于多重散射效应。我们区分了无序均匀分布在两层或仅分布在一层的情况。当只有一层是无序的,扩散性能强烈依赖于$θ$,从而显示在中间角度,$\sim 2^\circ < θ< \sim 20^\circ$莫尔电子局域化的效果。

英文摘要:

Staking layered materials revealed to be a very powerful method to tailor their electronic properties. It has indeed been theoretically and experimentally shown that twisted bilayers of graphene (tBLG) with a rotation angle $θ$, forming Moiré pattern, confine electrons in a tunable way as a function of $θ$. Here, we study electronic structure and transport in tBLG using tight-binding numerical calculations in commensurate twisted bilayer structures and a pertubative continuous theory, which is valid for not too small angles ($θ> \sim 2^\circ $). This two approaches allow to understand the effect of $θ$ on the local density of states, the electron lifetime due to disorder, the dc-conducitivity and the quantum correction of the conductivity due to multiple scattering effects. We distinguished the cases where disorder is equaly distributed in the two layer or only in one layer. When only one layer is disordered, diffusion properties depends strongly on $θ$, showing thus the effect of Moiré electronic localisation at intermediate angles, $\sim 2^\circ < θ< \sim 20^\circ$.

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