Topological properties of tetratomic Su-Schrieffer-Heeger chains with hierarchical long-range hopping  

作　　者：李冠强 王博涵 唐劲羽 彭娉 董亮伟 Guan-Qiang Li;Bo-Han Wang;Jing-Yu Tang;Ping Peng;Liang-Wei Dong(Department of Physics and Institute of Theoretical Physics,Shaanxi University of Science and Technology,Xi’an 710021,China)

机构地区：[1]Department of Physics and Institute of Theoretical Physics,Shaanxi University of Science and Technology,Xi’an 710021,China

出　　处：《Chinese Physics B》2023年第7期469-476,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11405100);the Natural Science Basic Research Program in Shaanxi Province of China(Grant Nos.2022JZ-02,2020JM-507,and 2019JM-332);the Doctoral Research Fund of Shaanxi University of Science and Technology in China(Grant Nos.2018BJ-02 and 2019BJ-58);the Youth Innovation Team of Shaanxi Universities.

摘　　要：We propose a new generalized Su–Schrieffer–Heeger model with hierarchical long-range hopping based on a onedimensional tetratomic chain. The properties of the topological states and phase transition, which depend on the cointeraction of the intracell and intercell hoppings, are investigated using the phase diagram of the winding number. It is shown that topological states with large positive/negative winding numbers can readily be generated in this system. The properties of the topological states can be verified by the ring-type structures in the trajectory diagram of the complex plane. The topological phase transition is strongly related to the opening(closure) of an energy bandgap at the center(boundaries) of the Brillouin zone. Finally, the non-zero-energy edge states at the ends of the finite system are revealed and matched with the bulk–boundary correspondence.

关 键 词：generalized Su-Schrieffer-Heeger model tight-binding approximation topological phase transition long-range hopping winding number edge state 

分 类 号：O469[理学—凝聚态物理]