Topological phases and type-II edge state in two-leg-coupled Su-Schrieffer-Heeger chains |
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| Authors: | Tianqi Luo Xin Guan Jingtao Fan Gang Chen Suo-Tang Jia |
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| Affiliation: | 1.State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;2.Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;3.Taiyuan Institute, Taiyuan University, Taiyuan 030006, China;4.Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China |
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| Abstract: | 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 corner 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. |
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| Keywords: | topological quantum states edge state momentum-space lattice |
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