石墨烯片中光滑波纹引起的电荷不均匀性
Charge inhomogeneities due to smooth ripples in graphene sheets
摘要：
我们研究了在独立石墨烯样品中观察到的弯曲波纹对系统电子结构的影响。我们将波纹模拟为光滑的曲面凸起，并计算了曲面中狄拉克费米子的格林函数。弯曲区域修改费米速度，其成为石墨烯表面上的点的函数，并在凸块位置周围的局部态密度中引起能量依赖振荡。校正估计是百分之几的平面密度在典型的能量探索在本地探针，如扫描隧道显微镜，应该能够观察到预测的相关性的形态与电子。我们讨论了目前的工作与最近观察到的石墨烯中的电荷各向异性的连接，并提出它可以被用作曲率效应的实验测试。
英文摘要：
We study the effect of the curved ripples observed in the free standing graphene samples on the electronic structure of the system. We model the ripples as smooth curved bumps and compute the Green's function of the Dirac fermions in the curved surface. Curved regions modify the Fermi velocity that becomes a function of the point on the graphene surface and induce energy dependent oscillations in the local density of states around the position of the bump. The corrections are estimated to be of a few percent of the flat density at the typical energies explored in local probes such as scanning tunnel microscopy that should be able to observe the predicted correlation of the morphology with the electronics. We discuss the connection of the present work with the recent observation of charge anisotropy in graphene and propose that it can be used as an experimental test of the curvature effects.
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