We have investigated the role of pseudospin polarization in electron wave packet dynamics in pristine graphene and in a graphene antidot lattice subject to an external magnetic field. By employing Green’s function formalism, we show that the electron dynamics can be controlled by tuning pseudospin polarization. We find that in Landau quantized pristine graphene, both the propagation of an electron wave packet and Zitterbewegung oscillations strongly depend on pseudospin polarization. The electron wave packet is found to propagate in the direction of initial pseudospin polarization. We also show that, in this system, the propagation of an electron can be enhanced in any desired direction by carving a one-dimensional antidot lattice in that direction. The study suggests that a graphene antidot lattice can serve as a channel for electron transport with the possibility of tunability by means of pseudospin polarization, antidot potential, and applied normal magnetic field strength.

中文翻译：

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伪自旋极化对在正常磁场存在下石墨烯点阵（GALs）中波包动力学的影响

我们已经研究了伪自旋极化在原始石墨烯和受外部磁场作用的石墨烯点阵晶格中的电子波包动力学中的作用。通过采用格林函数形式主义，我们表明可以通过调整伪自旋极化来控制电子动力学。我们发现在Landau量化的原始石墨烯中，电子波包的传播和Zitterbewegung振荡都强烈依赖于伪自旋极化。发现电子波包沿初始伪自旋极化的方向传播。我们还表明，在该系统中，可以通过在该方向雕刻一维解毒点阵来增强电子在任何所需方向上的传播。