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Electric transport through circular graphene quantum dots: Presence of disorder

机译：通过圆形石墨烯量子点的电传输：存在无序

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The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical results obtained from a tight-binding lattice description. A spectral gap, which may originate from strain effects, additional adsorbed atoms, or substrate-induced sublattice-symmetry breaking, allows for bound and scattering states. As long as the diameter of the dot is much larger than the lattice constant, the results of the continuum and the lattice model are in very good agreement. We also investigate the influence of a sloping dot-potential step, of on-site disorder along the sample edges, of uncorrelated short-range disorder potentials in the bulk, and of random magnetic fluxes that mimic ripple disorder. The quantum dot's spectral and transport properties depend crucially on the specific type of disorder. In general, the peaks in the density of bound states are broadened but remain sharp only in the case of edge disorder.
机译：从理论上在连续狄拉克方程近似的范围内研究了静电约束圆柱形石墨烯量子点的电子状态和通过该器件的电传输，并与从紧密束缚晶格描述获得的数值结果进行了比较。光谱间隙可能来自应变效应，额外的吸附原子或基片引起的亚晶格对称性断裂，从而允许发生束缚和散射状态。只要点的直径远大于晶格常数，连续体的结果和晶格模型就可以很好地吻合。我们还研究了倾斜的点势步，沿样品边缘的现场无序，整体中不相关的短程无序电势以及模拟纹波无序的随机磁通的影响。量子点的光谱和传输特性主要取决于特定类型的无序。通常，结合态密度的峰变宽，但仅在边缘紊乱的情况下保持尖锐。

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