Understanding the mechanisms governing the optical activity of layered-stacked materials is crucial to the design of devices aimed at manipulating light at the nanoscale. Here, we show that both twisted and slid bilayer graphene are chiral systems that can deflect the polarization of linear polarized light. However, only twisted bilayer graphene supports circular dichroism. Our calculation scheme, which is based on the time-dependent Schrödinger equation, is particularly efficient for calculating the optical-conductivity tensor. Specifically, it allows us to show the chirality of hybridized states as the handedness-dependent bending of the trajectory of kicked Gaussian wave packets in bilayer lattices. We show that nonzero optical Hall conductivity is the result of the noncanceling manifestation of hybridized states in chiral lattices. We also demonstrate the continuous dependence of the conductivity tensor on the twist angle and the sliding vector.

中文翻译：

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双层石墨烯的光学霍尔响应：破碎的镜像对称晶格中手性杂化态的表现

了解控制层状堆叠材料的光学活性的机制对于旨在操纵纳米级光的设备的设计至关重要。在这里，我们显示扭曲和滑动的双层石墨烯都是可以偏转线性偏振光偏振的手性系统。但是，只有扭曲的双层石墨烯支持圆二色性。我们的计算方案基于与时间相关的Schrödinger方程，对计算光导张量特别有效。具体而言，它使我们能够将混合态的手征性显示为双层格架中被踢的高斯波包轨迹的旋向性取决于弯曲。我们表明，非零光学霍尔电导率是手性晶格中杂化态非取消表现的结果。