论文标题
\ emph {zitterbewegung}与拓扑相变之间的链接
Link between \emph{Zitterbewegung} and topological phase transition
论文作者
论文摘要
全球不变式描述的拓扑量子状态已在理论和实验中进行了广泛的研究。在这封信中，我们研究了\ emph {Zitterbewegung}与分别反映本地和整个能量频段的性质的系统拓扑之间的关系。我们概括了通常的两波段有效的哈密顿量，以表征旋转$ j $拓扑绝缘子的拓扑相变。通过研究\ emph {Zitterbewegung}拓扑相变之前和之后的动力学，我们发现准颗粒振荡的方向可以很好地反映拓扑特性。此外，我们为旋转$ j $ chern绝缘子中的拓扑不变性开发了定量计算公式，并给出相应动力学的选择规则。最后，我们证明我们的理论在不同的拓扑系统中是有效的。拓扑不变可以用第一个布里鲁因区域中高对称点的局部动力学特性表示，该特性从动力学的角度提供了一种新的测量方法。
Topological quantum state described by the global invariant has been extensively studied in theory and experiment. In this letter, we investigate the relationship between \emph{Zitterbewegung} and the topology of systems that reflect the properties of the local and whole energy bands, respectively. We generalize the usual two-band effective Hamiltonian to characterize the topological phase transition of the spin-$J$ topological insulator. By studying \emph{Zitterbewegung} dynamics before and after topological phase transition, we find that the direction of quasiparticles' oscillation can well reflect topological properties. Furthermore, we develop a quantitative calculation formula for the topological invariant in the spin-$J$ Chern insulator and give the selection rule of the corresponding dynamics. Finally, we demonstrate that our theory is valid in different topological systems. The topological invariant can be represented by local dynamical properties of the high-symmetry points in the first Brillouin zone, which provides a new measurement method from the dynamical perspective.
