标题： Floquet拓扑相在猝灭驱动下扩展的Su-Schrieffer-Heeger模型中的高绕组数 显示英文标题

标题： Floquet topological phases of higher winding numbers in extended Su-Schrieffer-Heeger model under quenched drive

摘要： 在本研究中，我们探讨了具有不同扩展范围的交错进一步邻域跳跃项的静态和动态Su-Schrieffer-Heeger模型的拓扑性质。静态手征模型的拓扑特征通过常规绕数来建立，而Floquet拓扑特征则通过一对绕数来研究。随着进一步邻域项扩展范围的增加，在静态和动态系统中发现了具有更高绕数的拓扑相。展示了四种不同扩展范围的静态模型的拓扑相图，并随后将其推广到任意扩展范围。类似地，展示了四种此类动态模型的Floquet拓扑相图。对于每种模型，引入了跳跃项的四种不同参数化，这些参数化表现出不同的拓扑相图模式。在每种情况下，都观察到了‘0’和‘$\pi$’能隙边缘态的出现，并且它们被发现与适用于手征拓扑系统的体边对应规则一致。 显示英文摘要

摘要： In this study topological properties of static and dynamic Su-Schrieffer-Heeger models with staggered further neighbor hopping terms of different extents are investigated. Topological characterization of the static chiral models is established in terms of conventional winding number while Floquet topological character is studied by a pair of winding numbers. With the increase of extent of further neighbor terms topological phases with higher winding numbers are found to emerge in both static and dynamic systems. Topological phase diagrams of static models for four different extents of further neighbor terms are presented, which has been generalized for arbitrary extent afterwards. Similarly, Floquet topological phase diagrams of four such dynamic models have been presented. For every model four different parametrizations of hopping terms are introduced which exhibits different patterns of topological phase diagrams. In each case emergence of `0' and `$\pi$' energy edge states is noted and they are found to consistent to the bulk-boundary correspondence rule applicable for chiral topological systems.