The electronic and optical response of Bernal stacked bilayer graphene with geometry modulation and gate voltage are studied. The broken symmetry in sublattices, one dimensional periodicity perpendicular to the domain wall and out-of-plane axis introduces substantial changes of wavefunctions, such as gapless topological protected states, standing waves with bonding and anti-bonding characteristics, rich structures in density of states and optical spectra. The wavefunctions present well-behaved standing waves in pure system and complicated node structures in geometry-modulated system. The optical absorption spectra show forbidden optical excitation channels, prominent asymmetric absorption peaks, and dramatic variations in absorption structures. These results provide that the geometry-modulated structure with tunable gate voltage could be used for electronic and optical manipulation in future graphene-based devices.

研究了具有几何调制和栅极电压的伯纳尔堆叠双层石墨烯的电子和光学响应。亚晶格的破缺对称性、垂直于磁畴壁和面外轴的一维周期性引入了波函数的实质性变化，如无间隙的拓扑保护态、具有键合和反键合特性的驻波、丰富的态密度结构和光谱。波函数在纯系统中呈现良好的驻波，在几何调制系统中呈现复杂的节点结构。光学吸收光谱显示出禁止的光学激发通道、突出的不对称吸收峰以及吸收结构的巨大变化。这些结果表明，具有可调栅极电压的几何调制结构可用于未来基于石墨烯的器件中的电子和光学操纵。