Parity-dependent skin effects and topological properties in the multilayer nonreciprocal Su−Schrieffer−Heeger structures  

作　　者：Jia-Rui Li Cui Jiang Han Su Di Qi Lian-Lian Zhang Wei-Jiang Gong 

机构地区：[1]College of Sciences,Northeastern University,Shenyang 110819,China [2]Basic Department,Shenyang Institute of Engineering,Shenyang 110136,China

出　　处：《Frontiers of physics》2024年第3期115-133,共19页物理学前沿（英文版）

基　　金：the LiaoNing Revitalization Talents Program(Grant No.XLYC1907033);the National Natural Science Foundation of China(Grant No.11905027);the Natural Science Foundation of Liaoning province(Grant No.2023-MS-072);Fundamental Research Funds for the Central Universities of Ministry of Education of China(Grant Nos.N2209005 and N2205015).

摘　　要：We concentrate on the skin effects and topological properties in the multilayer non-Hermitian Su−Schrieffer−Heeger (SSH) structure, by taking into account the nonreciprocal couplings between the different sublattices in the unit cells. Following the detailed demonstration of the theoretical method, we find that in this system, the skin effects and topological phase transitions induced by nonreciprocal couplings display the apparent parity effect, following the increase of the layer number of this SSH structure. On the one hand, the skin effect is determined by the parity of the layer number of this SSH system, as well as the parity of the band index of the bulk states. On the other hand, for the topological edge modes, such an interesting parity effect can also be observed clearly. Next, when the parameter disorders are taken into account, the zero-energy edge modes in the odd-layer structures tend to be more robust, whereas the other edge modes are easy to be destroyed. In view of these results, it can be ascertained that the findings in this work promote to understand the influences of nonreciprocal couplings on the skin effects and topological properties in the multilayer SSH lattices.

关 键 词：multilayer SSH lattice nonreciprocal couplings band structure skin effect 

分 类 号：O469[理学—凝聚态物理]