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Electronic structure of bilayer graphene: A real-space Green's function study

机译:双层石墨烯的电子结构:实空间格林函数研究

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In this paper, a real-space analytical expression for the free Green's function (propagator) of bilayer graphene is derived based on the effective-mass approximation. Green's function displays highly spatial an-isotropy with threefold rotational symmetry. The calculated local density of states (LDOS) of a perfect bilayer graphene produces the main features of the observed scanning tunneling microscopy (STM) images of graphite at low bias voltage. Some predicted features of the LDOS can be verified by STM measurements. In addition, we also calculate the LDOS of bilayer graphene with vacancies by using the multiple-scattering theory (scatterings are localized around the vacancy of bilayer graphene). We observe that the interference patterns are determined mainly by the intrinsic properties of the propagator and the symmetry of the vacancies.
机译:本文基于有效质量近似,推导了双层石墨烯的自由格林函数(传播子)的实空间解析表达式。格林函数显示具有三重旋转对称性的高度空间各向异性。理想的双层石墨烯的计算出的局部态密度(LDOS)产生了在低偏置电压下观察到的石墨扫描隧道显微镜(STM)图像的主要特征。 LDOS的某些预测功能可以通过STM测量来验证。此外,我们还使用多重散射理论(散射位于双层石墨烯的空位附近)来计算具有空位的双层石墨烯的LDOS。我们观察到干扰模式主要由传播子的固有特性和空位的对称性决定。

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