Topological quantum states have attracted great attention both theoretically and experimentally.Here,we show that the momentum-space lattice allows us to couple two Su-Schrieffer-Heeger (SSH) chains with opposite dimerizations and staggered interleg hoppings.The coupled SSH chain is a four-band model which has sublattice symmetry similar to the SSH4.Interestingly,the topological edge states occupy two sublattices at the same time,which can be regarded as a one-dimension analogue of the type-Ⅱ comer state.The analytical expressions of the edge states are also obtained by solving the eigenequations.Finally,we provide a possible experimental scheme to detect the topological winding number and corresponding edge states.

Tianqi Luo;Xin Guan;Jingtao Fan;Gang Chen;Suo-Tang Jia

State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Laser Spectroscopy,Shanxi University,Taiyuan 030006,China;Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China;Taiyuan Institute,Taiyuan University,Taiyuan 030006,China;Collaborative Innovation Center of Light Manipulations and Applications,Shandong Normal University,Jinan 250358,China

中国物理B（英文版）

[1]Tianqi Luo;Xin Guan;Jingtao Fan;Gang Chen;Suo-Tang Jia-.Topological phases and type-Ⅱ edge state in two-leg-coupled Su-Schrieffer-Heeger chains)[J].中国物理B（英文版）,2022(01):350-358

dimerizations,interleg,SSH4,comer,eigenequations

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