| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Topological phases and type-II edge state in two-leg-coupled Su-Schrieffer-Heeger chains |
| Tianqi Luo(罗天琦)1,2, Xin Guan(关欣)3,†, Jingtao Fan(樊景涛)1,2,‡, Gang Chen(陈刚)1,2,4, and Suo-Tang Jia(贾锁堂)1,2 |
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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Received: 15 September 2021
Revised: 01 November 2021
Accepted manuscript online: 04 November 2021
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PACS:
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42.50.Ct
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(Quantum description of interaction of light and matter; related experiments)
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71.23.An
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(Theories and models; localized states)
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| Fund: Project partially supported by the National Natural Science Foundation of China (Grant Nos. 12034012, 12074232, and 11804204) and 1331KSC. |
Corresponding Authors:
Xin Guan, Jingtao Fan
E-mail: guanxin810712@163.com;bkxyfjt@163.com
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Cite this article:
Tianqi Luo(罗天琦), Xin Guan(关欣), Jingtao Fan(樊景涛), Gang Chen(陈刚), and Suo-Tang Jia(贾锁堂) Topological phases and type-II edge state in two-leg-coupled Su-Schrieffer-Heeger chains 2022 Chin. Phys. B 31 014208
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