论文标题
Zitterbewegung对ABC堆叠多层石墨烯中波数据包传播的影响：一种分析和计算方法
Effect of zitterbewegung on the propagation of wave packets in ABC-stacked multilayer graphene: an analytical and computational approach
论文作者
论文摘要
研究了低能二维高斯波包中ABC堆放$ N $ layer石墨烯（ABC-NLG）的时间演变。使用Green的函数方法分析计算质量中心中心和总概率密度的位置$（x，y）$的期望值。这些结果是使用基于ABC-NLG的Dirac方法中的拆分操作器技术的替代数值方法确认的，该方法还允许包括外部字段和电势。证明了石墨烯中波数据包的Zitterbewegung（颤抖运动）的主要特征，并发现不仅取决于波数据包宽度和初始伪旋运极化，还取决于层的数量。此外，这里提出的分析和数值方法允许研究具有任意数量层和任意潜在景观的石墨烯系统中的波数据包动力学。
The time evolution of a low-energy two-dimensional Gaussian wave packet in ABC-stacked $n$-layer graphene (ABC-NLG) is investigated. Expectation values of the position $(x,y)$ of center-of-mass and the total probability densities of the wave packet are calculated analytically using the Green's function method. These results are confirmed using an alternative numerical method based on the split-operator technique within the Dirac approach for ABC-NLG, which additionally allows to include external fields and potentials. The main features of the zitterbewegung (trembling motion) of wave packets in graphene are demonstrated and are found to depend not only on the wave packet width and initial pseudospin polarization, but also on the number of layers. Moreover, the analytical and numerical methods proposed here allow to investigate wave packet dynamics in graphene systems with an arbitrary number of layers and arbitrary potential landscapes.
