Shang Ce, Chen Xianfeng, Luo Weidong, Ye Fangwei
Opt Lett. 2018 Jan 15;43(2):275-278. doi: 10.1364/OL.43.000275.
We consider the topological characteristics of the spin-orbital coupling particles loaded in one-dimensional (1D) optical superlattices subject to the Zeeman field. The phase shift of the superlattice provides a virtual dimension which allows us to simulate two-dimensional topological phases with a physically 1D system. The system possesses a variety of quantum phase transitions over a large parametric space and two important topological phases, namely, quantum anomalous Hall (QAH) and quantum spin Hall (QSH) phases are found to coexist in the system, but they reside in different bandgaps. This new category of gap-dependent QAH--QSH insulator paves the way for the possible observation of the coexistence of QSH and QAH effects at one platform.
我们考虑了处于塞曼场中的一维光学超晶格中加载的自旋轨道耦合粒子的拓扑特性。超晶格的相移提供了一个虚拟维度，这使我们能够用一个物理上的一维系统来模拟二维拓扑相。该系统在一个大的参数空间中具有多种量子相变，并且发现两个重要的拓扑相，即量子反常霍尔（QAH）相和量子自旋霍尔（QSH）相共存于该系统中，但它们位于不同的带隙中。这种新的依赖于带隙的QAH-QSH绝缘体为在一个平台上可能观察到QSH和QAH效应的共存铺平了道路。
